in the diagram below of triangle abc, ac is extended

What is the measure of the vertex angle? 1 In the diagram below, _ AB , _ BC , and _ AC are tangents to circle O at . Triangle ABC is a cross section of the prism. c. (x2 + 5x)0 11 page 2 What is the measure of angle B? -- 10k ($3 angles that are 65 7-51) 64 CIO t 54 cc -9 13) Find the measure of zj in the diagram below. If mZBCD 300, determine and state mLAOB. 23. Name as many pairs . a L S)'nC (2q.B3 = (Total 6 marks) The diagram below shows a triangle and two arcs of circles, The triangle ABC is a right-angled isosceles triangle, with AB midpoint of [BC]. G.CO.C.10: Exterior Angle Theorem 1 1 In the diagram of KLMbelow, m∠L=70, m∠M=50, and MKis extended through N. What is the measure of ∠LKN? If m , m , and m , what is the value of ? Graph and label AA 'B 'C', the image of AABC 26 In the diagram below of circle O with diameter BC and radius OA, chord DC is parallel to chord IBA. Find the number of degrees in OB. F 30 G 45 H 50 J 60 5 Sides BC and AC of ABC are extended . What is Angle ADB? (a) Calculate the distance AC. Also, since DE≅DF, ∠E≅∠F, so by the . In the diagram below of right triangle ABC , altitude CD is drawn to hypotenuse AB. O 7.5 O 8.5 360 n C. (n 2) 180 D. (n 2) 180 n page 4 Geometry Regents Review # 3 17. BC and EF ? . Explain how you know that they are all similar. AC. In the diagram of equilateral triangle ABC shown below, E and F are the midpoints of AC and BC, respectively. BCD 5) An exterior angle at the base of an isosceles triangle measures 110 . . In diagram below, KLM is a straight line. Find mOABC. 5. Use this space for computations. 3. 6) An exterior angle at the base of an isosceles triangle measures 130 . The altitude, h, to the hypotenuse has . AC such that ^ADB is an equilateral triangle, and ^DBC is an isosceles triangle with DB ˘=BC . A. x + x = 6 B. In the accompanying diagram, mOA = 2x 30, mOB = x, and mOC = x+ 10. This problem has been solved! The adjoining diagram shows a ray A B. Using a compass and straightedge, construct a new equilateral triangle congruent to ^ABC in the space below. B 3 5 7/4 A E Which equation is always true? Question 733053: In the diagram of triangle ABC, side BC is extended to D [IMG]C:\Users\user\Pictures\p16a.gif[/IMG] If m Answer by MathLover1(19462) (Show Source): You can put this solution on YOUR website! 2. 10. You may use an HB pencil for any diagrams or graphs. ection over which line does not carry the square onto itself? In diagram below, ABC and BED are straight lines, E is the mid-point of BD . ? Find AD. Area definition: The area of a triangle is the region or space enclosed by the three sides of the triangle Find m QPT. Find the value of $x$ Worked Solution. . In a triangle ABC, the side BC is extended up to D such that CD = AC. The intersection of the angle bisectors of a triangle is the center of the . IGCSE Extended: The diagram (not to scale) shows a quadrilateral made up of a number of triangles. 23. b. . If EF = 2x + 8 and AB = 7x - 2, what is the perimeter of trapezoid ABFE? Expert Answer Transcribed image text: 1 In the diagram below of triangle ABC, AC is extended through point C to point D, and BE is drawn to AC. Which point shown in the graph below is the image of point P after a counterclockwise rotation of 90 degrees about the origin? Given right triangle ABC with a right angle at C, m . The diagram shows a triangular prism of length 12 cm. Find the perimeter of ^ABC. In an isosceles triangle, the base angles are congruent. How to prove that BD=BC? Angle A measures 47 degrees and external angle BCD mesures 113 degrees. Geometry - Jan. '19 17 [OVER] Use this space for 17 In the diagram below of right triangle ABC, AC 8, and AB 17. computations. In the accompanying diagram of . If the two mirrors are parallel and ∠1 ≅∠3, what is m∠6 when m∠2 90 ? 1) 3.6 2) 6.0 3) 6.4 4) 4.0 16 In the diagram below, tangent AB and secant ACD are drawn to circle O from an external point A, In the accompanying diagram of ^ABC, the measure of exterior angle BCD is 110 and mOBAC = 50. lox - 20 t 30 14) In the diagram below of triangle ABC, AC is extended through point C to point D, and BE is drawn to AC. megas C C/ St 5 7/4 E 21 с A D Which equation … In the diagram below of triangle ABC, BC is extended to D. If m∠A = x 2 − 6x, m∠B = 2x − 3, and m∠ACD = 9x + 27, what is the value of x? 10 As shown in the diagram of ACD below, B is a point on AC and DB is drawn. An equilateral triangle is also called an equiangular triangle since its three angles are equal to 60°. The area of the triangle is 50 cm . 20 [OVER] If KG (1) 15 (2) 16 9 and IG = 12, the length of 1M is (4) 25 11 Which three-dimensional figure will result when a rectangle 6 inches long and 5 inches wide is continuously rotated about the longer side? In ^ABC, OB is congruent to OC. In the diagram below, triangle ABC with sides of 13, 15, and 16, is mappe onto triangle DEF after a clockwise rotation of 90° about point P. If DE = %3D -1, what is the value of x? Which statement is ALWAYS true? Answer(a)(iii) ... m2 [2] (b) X Y 12 cm 22 cm 45 cm NOT TO SCALE A cuboid has length 45 cm, width 22 . What is the measure of LA? 2. Terms and Conditions ©2021 Cummins Inc., Direct Marketing, Mail Code 60610, 500 Jackson Street, Columbus, IN 47201 U.S.A. (b) The straight line AB is extended to B' such that BC = B . This diagram shows how a periscope works. In Figure, sides AB and AC of Δ ABC are extended to points P and Q respectively. 0 0 9 50 100 150 Time (s) Speed (m/s) 200 250 300 (a) Find the acceleration, in m/s2, of the train during the first 50 seconds.m/s2 [1] (b) After 180 seconds, the train decelerates at a constant rate of 1944 km/h2. In triangle ABC and angle C is the right angle, cos A = 21/5. In the diagram of rAEB, !" is extended to R and K, . Angle BAC = 90°, AC = 6 cm and AB = 5 cm. after a reflection over the l. ex = 1. The diagram shows the positions of three turbines A, B and C. Diagram NOT accurately drawn A is 6 km due north of turbine B. In a triangle ABC, AB=AC and D is a point on side AC such that BCxBC=ACxCD. A quadrilateral must be a parallelogram if A. one pair of sides is parallel and one pair of angles is congruent B. one pair of sides is congruent and one pair of angles is congruent C. one pair of sides is both parallel and congruent D. the diagonals are congruent page 6 Geometry Midterm Review 13. answer choices A B C D Question 6 120 seconds Q. A) 10 B) 12.5 C) 20 D) 27.5 6. The intersection of the angle bisectors of a triangle is the center of the inscribed circle. The area of the triangle is 50 cm . AB = 6, AE = 5, and AC = 15 8. Find SW/ TZ. 1) a translation of two units to the right and two units down 2) a counterclockwise rotation of 180 degrees around the origin 3) a reflection over the x-axis 4) a dilation with a scale factor of 2 and centered at the origin 12 In the diagram below of circle O, the area of the shaded sector LOMis 2πcm2. Triangle ABD is scalene. What is the perimeter of A . 27 In the diagram below of ABC, side _ BC is extended to point D, m . In the diagram below of AABC, side BC is extended to point D, mZA = What is mZB? 23 In the diagram below of right triangle ABC, _ CD is the altitude to hypotenuse _ AB , CB = 6, and AD = 5. . 620 620 and side AC extended to D, as shown Use this space for computations. The lengths of the sides of ABC are 5, 8, and 11. Angle ABD = 80 degrees. See the answer B. Storms and Cyclones Struggles for Equality The Triangle and Its Properties. The measure of OB is 20 more than twice the measure of OA. C is 4.5 km due west of turbine B. A) 6 B) 6 . In the diagram below, A ABC is circumscribed about circle O and the sides of LABC are tangent to the circle at points D, E, and F. If AB = 20, AE = 12, and CF= 15, what is the length of AC? In triangle PQR, PQ is 12 cm, QR is 10 cm and angle PQR is acute. 18. 16 44 In the diagram of APQR shown below, PR IS extended to S, m/_P = 110 mZQ = 4x, and m/— QRS x2 + 5x. 1) mZl = mZ3 + mZ2 2) mL5 = mZ3—mZ2 Geometry (Common Core) — Jan. '16 [11] [OVER] Jan. ' 16 [12] 15 In the diagram below, the length of the legs AC and BC of right triangle ABC are 6 cm and 8 cm, respectively. (AP)I Geometry — Aug. '17 The arc BDC is part of a circle with . Show Step-by-step Solutions Geometry - June 2012 Regents - Q #26 Equation of a Parallel Line An equation of the line that passes through (2,−1) and is parallel to the line 2y + 3x = 8 is In the diagram of ^ABC below, Jose found centroid P by constructing the three medians. Geometry Special Properties and Parts of Triangles Perpendicular Bisectors Calculate (a) ∠JLK (b) ∠LJM 3. 10 7. 2x + x = 6 C. 3x + 2x = 6 D. x +2 3 x = 6 page 6 review - triangles 35. 17. The arc BDC is part of a circle with . Find mOC. Explain how you arrived . 5 In the diagram below, ABC is inscribed in circle P. The distances from the center of circle P to each side of the triangle are shown. Electronic calculators should be used. What is the measure in degrees of angle ACD? Find the size of angle PQR. 4 times the area of the trapazoid equals the area of the large triangle. Which equation can be used to find the value of x? IB Studies: . What is Angle ADB? 25 Triangle ABC is graphed on axes below. Unformatted text preview: Unit 7: Similar Figures Project Task 1 In the diagram below, AC 6 DF 6 BH and CB 6 FE.A D C G B H F E a. B. 31 In the diagram below of AHQP, side HP is extended through P to T, mAQPT = 6x + 20, mAHQP = x + 40, and mAPHQ = 4x - 5. What is the length of AD to the nearest tenth of a centimeter? In the diagram below of right triangle ABC, AC = 8, and AB = 17. AB at E. If BC = 12, AB = 16, and AE = 8, nd EF. In the diagram below of triangle ABC, AC is extended through point C to point D, and BE is drawn to AC. The four diagrams below each illustrate a geometry construction. Triangle ABC is a right triangle with the right angle at C. Which are possible measures for angle A and angle B? a L S)'nC (2q.B3 = (Total 6 marks) The diagram below shows a triangle and two arcs of circles, The triangle ABC is a right-angled isosceles triangle, with AB midpoint of [BC]. The interior angles of a convex polygon form an Genius Math Triangle ABC has AC=BC, angle ACB=96 degrees. View solution > . In the diagram below of Δ ABC , CD is the bisector of ∠BCA, . Show that the train decelerates for 60 seconds until it . STUVWXYZ is a regular octagon. Altitude CD is drawn to the hypotenuse of ABC. Solution 1. 7. In the diagram of A ABC and A DEF below, AB DE, LA LID, and Z E. Which method can be used to prove . Worked Solution. 10. In triangle PQR, PQ is 12 cm, QR is 10 cm and angle PQR is acute. 7) An isosceles . D and E are two points on the sides AC and BC respectively of $ \triangle ABC$ such that DE = 18 cm, CE = 5 cm and $\angle DEC$ = 90°. 14. In the diagram below abc is shown with ac extended In the diagram below, ABCis shown with extended through pointD Ifm∠BCD=6x+2,m∠BAC=3x+15, and m∠ABC=2x−1, what is the value ofx 1) 12 In the diagram below of ABC,BCis extended to D. If m∠A=x2−6x,m∠B=2x−3, and m∠ACD=9x+27, what is the value ofxAC. 1) AB 2) DC 3) AD 4) BD 11 In the diagram below of ABC with side AC extended through D, m . WZ=YZ, find ANGLE VYW . Problem. 8. Answer (1 of 4): I think you're asking the following. Find . 37 In the diagram below, ABST is a 3-4-5 right triangle. . ABC is a triangle where AB=12 cm, AC= 8cmand ∠ABC= 30 °. 1) rotation 2) dilation 3 . recall: Given that the area of triangle ABC is 6 square units, (i) find the coordinates of C. [3] The line CB is extended to the point D so that B is the mid-point of CD. below, ED is extended to A, and AF is drawn such . Medium. 6 In the diagram below, ABC is shown with AC extended through point D. If m BCD 6x 2, m BAC 3x 15, and m ABC 2x 1, what is the value of x? 8 In the diagram below of ABC, BC is extended to D . (a) Calculate (i) ∠BAC. Consider the triangle ABC where AB=17cm, AC=14cm and the angle BAC = 118 o. To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW In triangle ABC, D and E are two points on the sides AB and AC respectively so t. (1) sin A . Recall from above that an equilateral triangle is also an isosceles triangle. Find two possible values of ∠CAB 2. The section in triangle ADE will be labeled h1 and the section the trapazoid will be h2. What is the measure of the vertex angle? 21 C D A m2 1 = m2 3+ m22 с m26 = m23 - m_2 BmZ5 = m23-m22 Om27 = m_3+ m22 Previous question Next question If the length of NLis 6 cm, what is m∠N? what is the lenght of AD to the nearest tenth of a centimeter? In the diagram of Δ ABC below, AB is extended to point D. If m∠CAB=x+40, m∠ACB=3x+10,m∠CBD=6x , . In the diagram below, the length of the legs AC and BC of right triangle ABC are 6cm and 8cm, respectively.Altitude CD is drawm to the hypotenuse of triangle ABC. In ABC, m∠ACB=90°, m∠ACD=60°, CD is the altitude to AB , and BD = 5 cm. 10 7. In triangle ABC, side AC is extended through C to point D to create external angle BCD. a) How many edges does a tetrahedron have? In the diagram below of A ACT, D is the midpoint of AC, O is the midpoint of AT, and G is the midpoint of CT. 10, 14 A C 16 If AC = 10, AT= 18, and CT . GCSE Higher: The angle marked $x$ in the diagram below is obtuse. In the diagram below of ^ABC, BC is extended to D. Using the similar triangles you found in part (a), complete the following extended proportion: AB AC 5 DE j 5 j DG 5 j j 1.) In the accompanying diagram of ^ABC, side AB is extended to D. If mOACB = x + 30, mOCAB = 2x + 10, and mOCBD = 4x + 30, what is the value of x? 10 In the diagram below of right triangle Kill, altitude IG is drawn to hypotenuse KM. Since DE≅EF, the base angles, ∠D and ∠F, are congruent. In the diagram below, ^ABC is equilateral. Question 5 120 seconds Q. Look carefully at the diagram below before answering the following questions. BE AC AC. . 1. [Leave all construction marks.] [2] The diagram below shows an . If PF = x, which equation can be used to nd x? Notice that the circle centered a D is tangent at L, P, J and the circle centered at E is tangent at G, H, I and the circle centered at F is tangent at M, N, K. Claim the Cevians through the points P, H, and . Which statement about the sides of the triangle is true? Algebra. In the accompanying diagram of BCD, ABC is an equilateral triangle and AD = AB.What is the value of x, in degrees? Francisco needs the three pieces of glass shown below to complete a stained glass window. In the accompanying diagram of ^ABC, AB ? below. Find the length of BC. And the area of the small triangle + the area of the trapazoid also equals the area of the large triangle. Given triangle ABC, with E on side BC and side AB extended past B to D, does line DE necessarily intersect side AC of the triangle. 3 LE 2021 0580/41/M/J/21 [Turn over 2 The diagram shows the speed−time graph for the first 180 seconds of a train journey. 25. The diagram below shows a tetrahedron, which is a three-dimensional solid formed from four equilateral triangular faces: Each face is bounded by three edges, and three edges meet at a single point called a vertex. In the accompanying diagram, parallel lines AB and CD are intersected by transversal at points G and H, respectively, m∠AGH = x + 15, and m∠GHD = 2x. In the diagram below, ^ABC ˘^ADE. On the set of axes below, graph the locus of points 5 units from the point (2;3) and the locus of points 2 units from the line whose equation is y= 1. Find four similar triangles. The sum of the interior angles of a polygon of n sides is A. In the diagram of ^PQR shown below, PR is extended to S, mOP = 110, mOQ = 4x, and . Math Geometry Geometry questions and answers 6. 21. If AD =3 and DB =12, what is the length of altitude CD? 1) 60º 2) 120º 3) 180º 4) 300º 2 In the diagram below, RCBT ← → and ABCare shown with m∠A=60 and m∠ABT=125. [1] b) How many vertices and edges does a cube have? The diagram shows an isosceles triangle ABC in which A is the point (3, 3), B is the point (6, 3) and C lies below the x-axis. As shown in the diagram below, AB and CD intersect at E, and AC k BD. Which statement will always be true? Angle TBA = 62° (2) a reflection over the longer diagonal clockwise rotation of 90° about the intersection of the diagonals ( 4) a counterclockwise rotation of 180° about the intersection of the diagonals 5 In the diagram below of circle 0, points K, A, T, I, and E are on the circle, 6.KAE and 6.ITE are drawn, KE ~ ---EI, ~ and LEKA ---LEIT. What is the length of the shortest side of DEF if its perimeter is 60? 2x 1 13 15 B 16 O 7 8. He measured CF and found it to be 6 inches. math (1 mark) _____ The tangent DB is extended to T. The line AO is added to the diagram. 9. In the diagram below, AB, BC, and AC are tangents to circle O at points F, E, and D, respectively, 6, 5, and BE = 4. Use this space for computations. In the diagram of AABC below, AB The measure of Z B is 400. We set those equal to eachother and we simplify we get DEsquared - 60DE - 1200 = 0 when we use the quadratic formula we get DE=30+10square root 21 Please tell if this is right Thank you D Denis Senior Member If m∠A =66, m∠CDB =18, and m∠C =24, what is the longest side of ABD? 2 In the diagram below, ABC with sides of 13, 15, and 16, . 360 B. 1) 12 2) 14 10 11 3) 16 4) 18 1 9 7 In the diagram below of HQP, side HP is extended through P to T, m QPT 6x 20, m HQP x 40, and m PHQ 4x 5. Find the measure of each angle in ^ABC. 5 In scalene triangle ABC, m . Need work shown. Triangle ABC is similar to triangle DEF . Which equation would determine the value of angle A? 1) 125 2) 115 3) 65 4) 55 3 Given ABCwith m∠B=62° and side AC (3 marks) _____ A, B and C are points on the circumference of a circle with centre O. BD and CD are tangents. Calculate the angle between the line CE and the base ABED. D is a point in ABC such that angle DAB=18 degrees and angleDBA=30 degrees. . The following is a power of a point solution to this menace of a problem: Which measurements are justi ed by this . Find the size of angle PQR. Question: 6. answer choices 2x+x+15=180 Question 8 60 seconds Q. Let be an acute triangle with circumcircle and let be the intersection of the altitudes of Suppose the tangent to the circumcircle of at intersects at points and with and The area of can be written in the form where and are positive integers, and is not divisible by the square of any prime. 2) 15 27 17. 3. [Only an algebraic solution will be accepted.] If then $\angle ABC$ = 3.6, then AC : CD . 24. Find mAQPT. Draw diagram to show : line A B. If working is needed for any question it must be shown below that question. In the diagram of ABC below, AB is extended to point D. 10 IZCAB = X+40, ZACB - 3x + 10, 2CBD=6x, what is CAB? 1) a reflection over the x-axis followed by a translation 2) a reflection over the y-axis followed by a translation 3) a rotation of 180° about the origin followed by a translation 4) a counterclockwise rotation of 90° about the origin followed by a translation 21 The coordinates of the endpoints of QSare Q(−9,8) and S(9,−4). AC BD ZEAC ZEBD . 5 cm 5 cm 15 cm 3 cm 4 cm Find the x-intercept and y-intercept of each linear function In the diagram below of triangle ABC, AC is extended through) point C to point D, and BE is drawn to AC. Prove that triangle QSR is isosceles. In the diagram below, ^ABC is shown with AC extended through point D. We also now that the area of the large triangle is (h1+h2)20/2. 1) 36 2) 60 8 In the diagram below of GJK, H is a point on GJ, Question 6: Diagram below shows trapezium ABCD. In the accompanying diagram of BCD, ABC is an equilateral triangle and AD = AB.What is the value of x, in degrees? If $\angle BAC$ = 109° and $\angle ACB$ = 72° then the value of $\angle BAC$ is . $ABC$ is the equilateral triangle with sides $AB = BC = AC = a.$ So, the perimeter of $\Delta ABC = $ the length of the sides $ = AB + BC + CA = a + a + a = 3a = 3 \times {\rm{side}}$ Formula for area of a triangle. Let the circle centered at D be the excircle for the point C. Let the circle centered at E be the excircle of B and the circle centered at F be the excircle of A. Some diagrams, one with no obtuse angles in ABC, and three others with A or B or C obtuse, seem to strongly sug. (3) 1180 1210 Which value of x makes AB (1) 590 (2) 620 12 In the diagram shown below, PA is tangent to circle T at A, and secant P BC is drawn where point B is on circle T. an C = 15 what is the length of PA? Given that sin ∠CBD= 0.7, calculate (a) the length of BC (b) ∠BEA 4. Well we will draw the altitude from A. Which equation would determine the value of angle A? (ii) Find the coordinates of D. [2] Triangle ABC is isosceles. Transcribed Image Text: In the diagram of AABC below, AB = 10, BC = 14, and AC= 16. Angle BDC = 40° (i) Work out the value of p. (2 marks) (ii) Hence write down the value of q. 1) AB >AC >BC 2) AB <AC and AC >BC 3) AC >AB >BC 4) AC =AB and AB >BC 6 Which transformation is not always an isometry? The angles of triangle ABC are in the ratio of 8:3:4. . 12) Find the measure of zc and zd in the figure below. Given . The diagram shows a triangle ABC where AB = AC, BC = AD and Angle BAC = 20 Degrees. Find the volume of the Triangular Prism below. The length of the line segment joining the midpoints of two sides of equilateral triangle ABC is 5. In triangle ABC, it is given that angle A is 59 degrees and angle B is 53 degrees The altitude from B to line AC is extended until it intersects the line through A that is parallel to segment BC; they meet at K. Calculate the size of angle AKB. 6 In isosceles triangle ABC, AB =BC. As shown in the diagram below, CD is a median of triangle ABC. ...km (3) (b) Calculate the bearing of C from A. In ^ABC, the measure of OB is twice the measure of OA. . Let ABC be any triangle. (ii) the length, in cm, of AD. Label each one as either perpendicular bisector, altitude, median, or angle bisector. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to . Give your answer correct to the nearest degree. BDA 4) In the accompanying diagram, ABC is isosceles, BC extended to D,, AC AB and 80 A m. Find. In the diagram of ABC below, AB is extended to point D. 10 IZCAB = X+40, ZACB - 3x + 10, 2CBD=6x, what is CAB? Find the perimeter of the triangle formed by connecting the midpoints of the sides of ΔΑBC. If ^RST ˘^ABC, mOA = x2 8x, mOC = 4x 5, and mOR = 5x + 30, nd mOC. 5 6 C ADB What is the length of _ . Find m∠C. sides of equilateral triangle ABC, and the perimeter of AABC is 36 cm. 3h 3 . If the length of diagonal AC is 12, what is the length of DB? Calculate the area of triangle ABC. 22. 16. : Find angle C: 180 - 113 = 67 degrees: Find angle B: 180 - A - C = B And that that equals 4 times the area of the trapazoid 4 (h2 {DE+20}/2). I got 42 degrees! 16 In the diagram below of triangle ABC, is extended through computations. The diagram shows a triangle ABC where AB = AC, BC = AD and Angle BAC = 20 Degrees. class 8. A. x = 5 B. y = 2 C. y = x D. x + y = 4 7. What is m∠ACR? Do not use staples, paper clips, glue or correction fluid. Which equation is always true? In the accompanying diagram, A ABC and AABD are isosceles triangles Mith mZCAB — . 1) m∠B =m∠A 2) m∠A >m∠B 3) m∠A =m∠C 4) m∠C <m∠B 7 In the diagram below of ACD, B is a point on AC such that ADB is an equilateral triangle, and DBC is an isosceles triangle with DB ≅BC. 22.

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