1. It is impossible for a triangle to be which of the following?

2. From the markings shown on the following triangle, which of the following statements is true?

- both isosceles and right
- both equilateral and equiangular
- both scalene and acute
- both obtuse and equilateral

- is an isosceles, right triangle.
- is an equilateral, right triangle.
- is an isosceles, acute triangle.
- is an equiangular, acute triangle.

3. In if and , then

4. In if is one inch longer than is 10 inches shorter than the sum of and , and the perimeter of is 72 inches, find the length of .

- is a scalene triangle
- is an acute triangle
- is a right triangle
- is an isosceles triangle

5. If the largest angle of an isosceles triangle measures 106°, find the measure of the smallest angle.

- 20 in.
- 21 in.
- 31 in.
- 32 in.

6. In a right triangle, if one acute angle has measure and the other has measure , find the larger of these two angles.

- 37°
- 42°
- 53°
- 74°

Use the following figure to answer questions 7-13.

- 13°
- 22°
- 47°
- 68°

7. If and , find .

8. Let , and . Find .

- 32°
- 84°
- 94°
- 96°

9. If , then

- 24°
- 58°
- 98°
- 132°

10. If , then

11. In order to prove that by ASA, we would need to show that

12. If , then we can prove that by

13. If , which of the following statements is true?

- SSS
- SAS
- ASA
- AAS

For questions 14-20 complete the proof of Theorem 4.12 by selecting the best reason or statement.

- by ASA.
- by SAS.
- by SSA.
- We cannot prove that .

Theorem 4.12Medians of congruent triangles are congruent.

14. The best statement for reason 6 of this proof is

15. The best reason for statement 7 of this proof is

D is the midpoint of.

16. The best statement for reason 10 of this proof is

- congruent angles form congruent segments
- definition of perpendicular segments
- definition of a midpoint
- reflexive property

17. The best reason for statement 11 of this proof is

- H is the midpoint of .

18. The best reason for statement 14 of this proof is

- congruent angles form congruent segments
- definition of perpendicular segments
- definition of a midpoint
- reflexive property

19. The best reason for statement 16 of this proof is

- substitution property of equality
- definition of congruent segments
- CPCTC
- given

20. The best reason for statement 17 of this proof is

- SSS
- SAS
- ASA
- AAS

Use the following figure to answer question 21.

- substitution property of congruence
- definition of congruent segments
- CPCTC
- definition of a median

21. From the construction marks shown in the diagram, we can tell that is

- an altitude of
- an angle bisector of
- a median of
- a perpendicular bisector of