Download 1. A right triangle is____________________ an equilateral triangle

Name__________________________________ Review for Unit Test – must be handed in complete
with all work including the answers.
Answer “Sometimes, Always, or Never” and justify your answer:
1. A right triangle is____________________ an equilateral triangle.
2. An equilateral triangle is ____________ congruent to an isosceles triangle.
3. Two isosceles triangles are ___________ congruent if they have congruent vertex angles.
4. If the two legs of a right triangle are congruent to the corresponding legs of another right
triangle, the triangles are ______________ congruent.
5. If two triangles are congruent, their corresponding angles are _______________ congruent.
6. An obtuse triangle is ___________________ a right triangle.
7. A right triangle is _____________________ an equilateral triangle.
8. A scalene triangle is __________________ an acute triangle.
9. A right triangle is ____________________ a scalene triangle.
10. An equilateral triangle is __________________ a scalene triangle.
11. A right triangle ____________________ has a 90 degree angle.
12. A right triangle ____________________ an obtuse triangle.
13. An isosceles triangle is __________________ an acute triangle.
14. An isosceles triangle __________________ has two congruent sides.
15. An obtuse triangle is __________________ a scalene triangle.
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16. Proof:
̅̅̅̅ , then characterize the triangles.
17. Solve for all valid values of 𝑥, given that ̅̅̅̅
𝐴𝐵 ≅ 𝐵𝐶
𝑥 2 − 2𝑥
3
6𝑥 − 15
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18. Solve for 𝑥 and 𝑦
19. Is it possible to prove that the triangles are congruent? If so, state the postulate or theorem
you would use and the type of rigid motion to move one to the other.
20. Find the value of x
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21. Find the value of x. Then classify the triangle by its angles.
22. In the diagram, ∆𝑄𝑅𝑆 ≅ ∆𝑋𝑌𝑍. Find the corresponding part of the triangle.
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23.
A.
State the rigid motion.
B.
C.
D.
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24. Complete the congruence statement for the figures.
25.
Which of the circumcenter, centroid, or incenter is
equidistant from the 3 cities that want cell phone service?
CC
C
I
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