ANSWER PART I, II, AND III

1.1. In the figure below, AACB ~ AADB. Which of the following is TRUE by CPCTC? A. AB bisects CD B. LACE = LEDB C. ZCAB = ZADB D. BC = BD 2. In the figure below, ZC & ZD. What additional information is needed to prove that AOVC . AIVD by ASA? A. ov = IV B. CV = DV C. ZO = 21 D. COM DI X. 3. Which postulate proves ACAB and AMON are congruent? A. SSS C. ASA B. AAS D. SAS 4- Which pair of triangles below are congruent by Side Angle Side Postulate? A. C. B. D. 5. If AABC is proven to be congruent to AXYZ by SAS postulate, which statement is NOT true? A. AB = XY C. ZXYZ = ZABC B. XZ = BC D. ZCAB ~ ZZXY 6. What do you call a line, ray, or line segment which cuts a line segment into two equal parts at 90"? A. angle bisector C. right angle B. bisector D. perpendicular bisectorUse the figure below for numbers 9 -11. 6x - 24 O 9. In the given figure, LO = VO, what is the value of x? A. 7 B. 8 C. 9 D. 10 10. What is the length of LO? A. 25 B. 28 C. 36 D. 48 11. If LE = VE, then what is the length of LV? A. 8 B. 10 C. 16 D. 20 Use the figure below for numbers 12-15. 2x 45 D 3x - 2 12. If AD = CD. what is value of x? A. 5 B. 6 C. 7 D. 813. If #D is the perpendicular bisector of AG and BC = 18, what is AB? A. 6 B. 12 C. 18 D. 36 14. If AD = CD. what is the length of AC? A. 12 B. 17 C. 21 D. 38 What is the perimeter of AABC? 15. A. 21 B. 42 C. 74 D. 76 II. Directions: Write a two-column proof for the given problem. Write your proof on the given table. Given: CA | ER and CE | AR Prove: ZA LE Proof: Statements Reasons III. Directions. Find the measure of each item. Show your solution. (Note: Pointing System: 2 points - correct and complete solution, correct answer; 1 point-incomplete solution, correct answer, 0 point - no solution, incorrect answer) Given: BD is the angle bisector of 2B and perpendicular bisector of both AC and EF. BC = 15, AE = 3 1. x 2. mcEBF 4x - 30 160 -2x 3. mxBDC 4. BF 5. mxBAC Solution