Find … 4 In the diagram of ABC shown below, DE BC. Explain your reasoning. 11. Which statement is always true? QUESTION 6 In the diagram below, ABC is an isosceles triangle. 1) 12º 2) 24º 3) 36º 4) 72º 5 In the diagram below, AB, BC, and AC are tangents to circle O at points F, E, and D, respectively, AF =6, CD =5, and BE =4. Segment OT is drawn so that ∠C ≅∠OTU. AB ¿ AC = aunits AD ¿ DC = bunits ^ B = θ. What is mOB? 11. 13 In the diagram below of ABC, AE ≅BE, AF ≅CF, and CD ≅BD. In the diagram below of ^ABC, BC is extended to D. If mOA = x2 6x, mOB = 2x 3, and mOACD = 9x + 27, what is the value of x? 61. Which equation represents the ... 40 In the diagram below, AC and AD are tangent to circle B at points C and D, respectively, and BC, BD, ... 46 In the diagram of ABC below, AB is extended to point D. results of this inve stigatio n should shed new ligh t on the chal-lenges of the resistan ce to AZD1152-HQP A and should be. 12) The measure of an exterior angle of a triangle is 135 degrees and the measure of one interior angle of the triangle is 90 degrees. 11) In the diagram below of ΔHQP, side HP is extended through P to T, m∠QPT=5x+13, m∠HQP=2x-9, and m∠PHQ =4x+2. 10 B. The vertex angle of an isosceles triangle measures Francisco needs the three pieces of glass shown below … 13. Point P must be the 1) centroid 2) circumcenter 3) incenter 4) orthocenter 14 In triangle SRK below, medians SC, KE, and RL intersect at M. Which statement must always be true? If mOA = 60 and mOB = 50, nd mOACD. 23. What is the measure of the smallest angle? 2 In the diagram below of ABC, TV ← → BC, AT =5, TB =7, and AV =10. 40. Regents Exam Questions Name: _____ G.SRT.B.5: Similarity 2 www.jmap.org 3 10 In the accompanying diagram, QRS is similar to LMN, RQ =30, QS =21, SR =27, and LN =7. In the diagram below of right triangle ABC, AC = 8, and AB = 17. (2) 6.2 Prove that: cos2 θ = a 2 2 b 2 − 1 (4) 6.3 Hence, determine the value of θ if a = … D lies on BC. What is the measure of angle B? 5 B. 12) In the diagram below, the length of the legs AC and BC of right triangle ABC are 6 cm and 8 cm, respectively. A. In the diagram below of , side is extended to point D, , , and . a-40… If AB =15, BC =12, and EC =7, what is the length of BD? Geometry Regents Exam Questions at Random www.jmap.org 3 12 Given points A, B, and C, use a compass and A. In the accompanying diagram, OACD is an exterior angle of ^ABC. Given: ABC with AB ≅ AC (Since it is given that AB ≅ AC, it must be true that AB = AC. AC 18 In the diagram below, ERM ∼ JTM. Question 733058: In the diagram below of triangle ABC, side BC is extended to D. file:///C:/Users/user/Pictures/p16a.gif If the m Answer by lynnlo(4176) (Show Source): In ^ABC, mOA = 80 and mOB = 50. BCD m 5) An exterior angle at the base of an isosceles triangle measures 110 . ≅ 2. SAS In triangle 4. 18. Which ratio is always equivalent to cosA? ASA 3. Which statement is always true? *? What is the length of ML? 9 In the diagram below, CD is the altitude drawn to the hypotenuse AB of right triangle ABC. Using a compass and straightedge, construct a new equilateral triangle congruent to ^ABC in the space below. b) Using the triangle A’B’C’ create a third triangle dilated by 1.5cm centered at point O. c) Find the scale factor, in centimeters, from triangle ABC to triangle A”B”C”. 3 Triangle ABC has vertices A(0,0), B(6,8), and C(8,4). 11 In the accompanying diagram, triangle A is similar to triangle B.Find the value of n. 12 The sides of a triangle measure 7, 4, and 9. If AB = 4x 4 and AC = 2x +16, what is the value of x? B 3 5 7/4 A E Which equation is always true? In the diagram below of ^ACD, Bis a point on AC such that ^ADB is an equilateral triangle, and ^DBC is an isosceles triangle with DB ˘=BC . Which equation would determine the value of angle A? 34. 14. Find T . Given the diagram below, answer the following questions: a) Find the scale factor of the dilation already drawn. BDA m 4) In the accompanying diagram, ABC is isosceles, BC extended to D, , AC AB and 80 A m is . 10 B. 3 In right triangle ABC shown below, point D is on AB and point E is on CB such that AC DE. What is the measure of the vertex angle? Using a compass and straightedge, construct the dilation of rABC centered at B with a scale factor of 2. 5 B. ≅ 3. Triangle DAE can be proved congruent to triangle BCE by 1. What is ... find the midpoints of AB, BC, and AC and label them as D, E, and F respectively. HL----- ... As shown in the diagram below, is a median of ΔABC. 16. ABC is a triangle. Home; Venue; Week; Contact & Reservations; Home; Venue; Week; Contact & Reservations recall: Find m∠QPT. the lengths of the sides are in terms of the variable n, where n>4. 6) An exterior angle at the base of an isosceles triangle measures 130 . In a ΔABC, the side BC is extended upto D. Such that CD = AC, if and then the value of is. 2 C. 3 D. 15 41. Consider the diagram and proof by contradiction. Geometry Regents Exam Test Sampler fall08 www.jmap.org 5 19 In the diagram below of ABC, D is a point on AB, AC =7, AD =6, and BC =18. 62. In the diagram below of ^ABC, AB ˘= AC , mOA = 3x, and mOB = x + 20. The altitude, h, to the 28 C. 32 D. 40 42. 21 C D A m2 1 = m2 3+ m22 с m26 = m23 - m_2 BmZ5 = m23-m22 Om27 = m_3+ m22 answer choices 30 Triangle ABC has vertices A(−2,2), B(−1,−3), and C(4,0). 4 In the diagram below of right triangle KMI, altitude IG is drawn to hypotenuse KM. 6.1 Determine, without reasons, the size of A ^ D C in terms of θ. Altitude CD is drawn to the hypotenuse of 'ABC. What is the length of AD to the nearest tenth of a centimeter? In the diagram below of ^ABC, side BC is extended to point D, mOA = x, mOB = 2x+ 15, and mOACD = 5x+ 5. Find the coordinates of the vertices of A′B′C′, the image of ABC after the transformation r x-axis. Find mOC. B . 17. Angle A measures 47 degrees and external angle BCD mesures 113 degrees. Which equation would determine the value of angleA? 1) AB BC 2) BD BC 3) BD AB 4) BC AC. ID: A 1 G.SRT.C.6: Trigonometric Ratios 1a 29 In the diagram below of LACD, B is a point on AC such that LADB is an equilateral triangle, and LDBC is an isosceles triangle with DB - BC. 500 55 16. What is the measure of the vertex angle? Triangle ABC is shown below. What is the measure of angle A to the nearest degree? 1. c. Geometry - … 1 In the diagram below of triangle ABC, AC is extended through point C to point D, and BE is drawn to AC. 1) AD =2 and DB =36 2) AD =3 and AB =24 3) AD =6 and DB =12 4) AD =8 and AB =17 10 In SCU shown below, points T and O are on SU and CU, respectively. If m ∠ TMR = 28 °, the measure of angle OTS and is 1) 40º 2) 50º 3) 60º 4) 70º G.CO.C.10: EXTERIOR ANGLE THEOREM 99 In the diagram below of triangle ABC, AC extended through point C to point D, and BE drawn to AC is is . 32. 22. Geometry Multiple Choice Regents Exam Questions www.jmap.org 2 ... 19 Given ABC with m∠B =62° and side AC extended to D, as shown below. Complete the inequality - 10464551 1) cosJ = RM RE 2) cosR = JM JT 3) tanT = RM EM 4) tanE = TM JM 19 In the diagram below of right triangle ABC, altitude BD is drawn. What is the length of VC? What is the value of x? 33. 14. Find . D A . What is mOB? Triangle abc is shown in the diagram. 13) In the diagram below, 'RST is a 3 4 5 right triangle. 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(17574) (Show Source): You can put this solution on YOUR website! If KG =9 and IG =12, the length of IM is 1) 15 2) 16 3) 20 4) 25. In the diagram below, the vertices of are the midpoints of the sides of equilateral triangle ABC, and the perimeter of is 36 cm. In the diagram of triangle ABC below, line segment AB is extended to point D. - 18957902 Which equation would determine the value of angle A? In the diagram below, ^ABC is equilateral. In the diagram of right triangle ABC, CD intersects hypotenuse AB at D. If AD = 4 and DB = 6, which length of AC makes CD perpendicular to AB? What is the perimeter of ABC? A cargo trailer, pictured below, can be modeled by a … 11 In the diagram below of right triangle ABC, AC =8, and AB =17. If AB =10, AD =8, and AE =12, what is the length of EC? Answer by ankor@dixie-net.com(22304) (Show Source): Assume ∠B and ∠C are … 11) In the diagram below of ΔHQP, side HP is extended through P to T, m∠QPT=5x+13, m∠HQP=2x-9, and m∠PHQ =4x+2. SSS 2. set of axes below is optional.] In the diagram below of triangle ABC, AC is extended through point C to point D, and BE is drawn to AC. In the accompanying diagram, A ABC and AABD are isosceles triangles Mith mZCAB — mLBDA — 55. Question 623697: In triangle ABC, side AC is extended through C to point D to create external angle BCD. 4 The angles of triangle ABC are in the ratio of 8:3:4 . 29 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. [Leave all construction marks.] Find m∠C. Find an answer to your question in the diagram of right triangle ABC shown below, AB = 14 and AC = 9. Find mLC. page 2 A. 20 C. 25 D. 55 13. 12. 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. In the diagram below of AABC, side BC is extended to point D, mZA = What is mZB? In the diagram below, triangle ABE ≅ triangle CBD. [Leave all construction marks.] In the diagram below of ^ABC, side BC is extended to point D, mOA = x, mOB = 2x +15, and mOACD = 5x +5. In the diagram below of right triangle ABC,AC = 8, and AB = 17. AC 12, what is the length of AD? A. Which lengths would not produce an altitude that measures 62 ? If m , m , and m , what is the value of ? 20 C. 25 D. 55 15. If AB — AC and AB — BD, what is mZCBD? 1) sinA = 8 17 2) tanA = 8 15 3) cosA = 15 17 4) tanA = 15 8.
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