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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. __________________________________