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Name ______________________________ Geometry REVIEW – Triangles and Congruency 16. Find the value of x. TRUE or FALSE 74 1. A scalene triangle is always obtuse. _____________ 81 2. An equilateral triangle is always isosceles. _________ 3. A right triangle is sometimes equilateral. ___________ 4. A scalene triangle is sometimes obtuse. ____________ x 52 39 5. A scalene triangle is never acute. _____________ 6. An isosceles triangle is never right. _____________ 7. An acute triangle is always scalene. _____________ 8. An isosceles triangle is always right. _____________ 9. An obtuse triangle is sometimes acute. _____________ 10. An isosceles triangle is sometimes scalene. ________ 17. Find the value of x. x 44 11. A right triangle is never obtuse. _____________ 12. An acute triangle is never equilateral. ___________ 58 x 13. What is the value of x if the triangle is equilateral? 18. Find the value of x. 5x+2 ∠ ∠ ∠ 11x – 22 4x 14. Find m 1, m 2, and m 3. 19. If △CAT ≅ △PIG, which segment in △PIG corresponds to തതതത ? ܶܣ which segment in △CAT corresponds to തതതത ܲ? ܩ ∠A ? which angle in △CAT corresponds to ∠G ? which angle in △PIG corresponds to 15. Find the value of x. x 20. Name all the ways to prove that two triangles are congruent. 72 159 21. Fill in the blanks. △JLK ≅ ___________ by _____________ 24. Find the value of x. തതതത , and ܰܲ തതതതത ≅ ܲܳ തതതത bisects ∠MNQ, 22. If ܲܯ 25. Find the value of x. then fill in the blanks. △MNP ≅ ___________ by _____________ 23. If തതതത ܰܲ bisects ∠MNQ, and തതതത ܰܲ bisects ∠MPQ, then fill in the blanks. △MNP ≅ ___________ by _____________ 26. Find the value of x. തതതത by ___________ Therefore, തതതതത ܲܳ ≅ ܲܯ 27. Fill in the blanks for the proof below. Given: തതതത ∥ ܣܦതതതത ܻܰ തതതത ≅ ܣܦതതതത ܻܰ Prove: ∠Y ≅ ∠A Statements Reasons 1. തതതത ∥ ܣܦതതതത ܻܰ 1. __________________________________ 2. 2. __________________________________ ∠ADN ≅ ∠YND 3. തതതത ≅ ܣܦതതതത ܻܰ 3. __________________________________ ܰܦ 4. തതതത ≅ ܰܦതതതത 4. __________________________________ 5. △NDY ≅ △DNA 5. __________________________________ 6. ∠Y ≅ ∠A 6. __________________________________