Honors Geometry Chapter 1 Day 11: Review Worksheet TRUE or FALSE Name _______________________ Date ________________________ __________1. A right angle is congruent to an acute angle. __________2. If a ray divides a segment into two congruent segments, then the ray bisects the segment. __________3. Definitions are always reversible. __________4. Theorems are always reversible. __________5. If a conditional statement is true, so is its converse. 6. The ratio of the m ∠ ABC: m ∠ CBD is 3:4, ∠ ABD is a right angle. Find m ∠ CBD A C B 7. Given: PS bisects ∠ LPH m ∠ LPS = x 2 + 2x m ∠ SPH = 4x + 48 Find: m ∠ LPH D L S P H 8. Given: m ∠ 1 = x + y m ∠ 2 = 2x – 20 m ∠ 3 = 5x – y m ∠ 4 = 3x – y + 20 1 2 3 4 Is ∠ 2 ≅ ∠ 4? 9. Find the conclusion: ∼s ⇒ r, t ⇒ w, ∼q ⇒ ∼m, s ⇒ m, q ⇒ t 10. Find the measure of the angle formed by the hands of a clock at: a. 3:40 b. 1:35 c. 11:10 H 11-18 Use the diagram I J K L 11. HL ∩ KI _____________________________ 12. KJ ∩ IK _____________________________ 13. KJ ∪ IK _____________________________ 14. HK ∪ HJ ∪ JK _____________________________ 15. KI ∪ KL _____________________________ 16. ∆KJL ∩ ∆HJI _____________________________ 17. ∠ HIK ∩ ∠ KIL _____________________________ 18 KL ∩ KL _____________________________ 19-22 Use the statement: If a ray bisects an angle, it divides the angle into two congruent angles. 19. Conditional 20. Converse 21. Inverse 22. Contrapositive