As shown in the diagram below, CD is a median of ABC. In the accompanying diagram of circle O, AD is a c diameter with AD parallel to chord BC, chords AB and CD are drawn, and chords BD AC intersect at E. Prove: BE CE PIM Ahs cPCTC CED 5 (CDC O BEE CE ReasŒo 3 Inscr'lbd s qqs Cfc-TC SSS SSS 5. For each question, use the diagram and the given information to find the measures of the given arcs and angles. 5. If mOGEB = (2x 30) and mOEFD = (x + 15), nd the value of x. If PC = 8 and PA = 4, nd AB. AD DB Side 3. 1) Plane P is perpendicular to plane Q. In the accompanying diagram,! In the accompanying diagram, AEFB, AD II EC , DF || CB, mDAE = 34 and m DFE = 57. Answer KeyGeometryAnswer KeyThis provides the answers and solutions for the Put Me in, Coach! AB and! If AD = 1, DB = x, AE = x and EC + 2, find DB. 5. In the accompanying gure,! AB is tangent to circle O at B and ACD is a secant. 6. #1 2. If m AC = 100, nd mOBOD. 4. In the accompanying diagram of circle O, AB k CD, BC is a diameter, and radius AO is drawn. A b. If AB = ... D is a point on AB and E is a point on AC such that DE is parallel to BC. 9. In the accompanying diagram of AABD, AB LAD and ÉC LAD. Find - 15909200 GH at E and F, respectively. a. AD is tangent to circle Oat Dand ABC is a secant. ADC DBC 5. In the accompanying diagram,! exercise boxes, organized by sections.Taking the Burden out of ProofsYesTheorem 8.3: If two angles are complementary to the same angle, then these two angles are congruent. 19. CD, mOBAC = 46, and mOBCD = 65. If mOABC = 20, nd m CD. ____ 15. In the accompanying diagram,! 2) Plane R is perpendicular to plane P. 3) Plane P is parallel to plane Q. If mO1 = 4x 10 and mO2 = 2x 20, nd x. CD are cut by transversal! Part IV: Big Circles. Which statement must be true? If AD= 4 and AC= 8, nd AB. 6. A vertical (perpendicular to base) cut gives a rectangle. 6. AD ≅ DB c. ∠ACD ≅ ∠CDB b. She has 8-inch-tall springs and wants to form a 16.5° angle with the base, as modeled in the diagram below. CD CD Side 4. In the accompanying diagram of circle O, chord AB is parallel to chord CD. A horizontal (parallel to base) cut would give a circle. A midpoint cuts a segment into 2 parts 3. If AE = 3, EC = x, ED = x + 1, and CB = x + 5, find the length of EC. 17. Yolanda is making a springboard to use for gymnastics. Congruent corresponding parts are labeled in each pair. #17 a. In the accompanying diagram,! If you look at a can on a shelf, it appears to be a rectangle. AD = 100 and m AC = 40, nd mODEB. 18. AB is a parallel to! In the diagram below, four pairs of triangles are shown. 17. 7. In the accompanying diagram, parallel lines! ... D is a point on AB and E is a point on AC such that DE is parallel to BC. Using only the information given in the diagrams, which pair of triangles can not be proven congruent? B c. C d. D ____ 16. 1) DE ≅AB 2) AD ≅BC 3) AD CE 4) DE BC 9 The vertices of ABC are A(−1,−2), B(−1,2) and C(6,0).Which conclusion can be made about the Reflexive Post 4. Geometry Regents Exam Test Sampler fall08 www.jmap.org 3 8 The figure in the diagram below is a triangular prism. In the accompanying diagram of circle O, chord AB is parallel to diameter EC, secant PBD intersects EC at F, tangent PA is drawn, mAB = mBC, and mCD = 80. Corresponding parts of are . PC is tangent to circle at C and PAB is a secant. 8 As shown in the diagram below, EF ← → intersects planes P, Q, and R. If EF ← → is perpendicular to planes P and R, which statement must be true? A B 2. AB k!
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