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

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

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

- http://ce.byu.edu/courses/hs/9990630...s/less4sb1.jpg is an isosceles, right triangle.
- http://ce.byu.edu/courses/hs/9990630...s/less4sb1.jpg is an equilateral, right triangle.
- http://ce.byu.edu/courses/hs/9990630...s/less4sb1.jpg is an isosceles, acute triangle.
- http://ce.byu.edu/courses/hs/9990630...s/less4sb1.jpg is an equiangular, acute triangle.

http://ce.byu.edu/courses/hs/9990630.../l4speed_2.jpg

3. In http://ce.byu.edu/courses/hs/9990630...s/less4sb2.jpg if http://ce.byu.edu/courses/hs/9990630...s/less4sb3.jpg and http://ce.byu.edu/courses/hs/9990630...s/less4sb4.jpg , then

- http://ce.byu.edu/courses/hs/9990630...s/less4sb2.jpg is a scalene triangle
- http://ce.byu.edu/courses/hs/9990630...s/less4sb2.jpg is an acute triangle
- http://ce.byu.edu/courses/hs/9990630...s/less4sb2.jpg is a right triangle
- http://ce.byu.edu/courses/hs/9990630...s/less4sb2.jpg is an isosceles triangle

4. In http://ce.byu.edu/courses/hs/9990630.../less4sb4a.jpg if http://ce.byu.edu/courses/hs/9990630...s/less4sb5.jpg is one inch longer than http://ce.byu.edu/courses/hs/9990630...s/less4sb6.jpg is 10 inches shorter than the sum of http://ce.byu.edu/courses/hs/9990630...s/less4sb5.jpg and http://ce.byu.edu/courses/hs/9990630...s/less4sb7.jpg , and the perimeter of http://ce.byu.edu/courses/hs/9990630.../less4sb4a.jpg is 72 inches, find the length of http://ce.byu.edu/courses/hs/9990630...s/less4sb5.jpg.

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

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

- 37°
- 42°
- 53°
- 74°

6. In a right triangle, if one acute angle has measure http://ce.byu.edu/courses/hs/9990630...s/less4sb8.jpg and the other has measure http://ce.byu.edu/courses/hs/9990630...s/less4sb9.jpg , find the larger of these two angles.

- 13°
- 22°
- 47°
- 68°

Use the following figure to answer questions 7-13.

http://ce.byu.edu/courses/hs/9990630...speed_7-13.jpg

7. If http://ce.byu.edu/courses/hs/9990630.../less4sb10.jpg and http://ce.byu.edu/courses/hs/9990630.../less4sb11.jpg , find http://ce.byu.edu/courses/hs/9990630...less4img28.jpg .

- 32°
- 84°
- 94°
- 96°

8. Let http://ce.byu.edu/courses/hs/9990630.../less4sb13.jpg, and http://ce.byu.edu/courses/hs/9990630.../less4sb14.jpg. Find http://ce.byu.edu/courses/hs/9990630...less4sb14a.jpg .

- 24°
- 58°
- 98°
- 132°

9. If http://ce.byu.edu/courses/hs/9990630.../less4sb15.jpg , then http://ce.byu.edu/courses/hs/9990630.../less4sb16.jpg

- http://ce.byu.edu/courses/hs/9990630.../less4sb19.jpg
- http://ce.byu.edu/courses/hs/9990630.../less4sb20.jpg
- http://ce.byu.edu/courses/hs/9990630.../less4sb21.jpg
- http://ce.byu.edu/courses/hs/9990630.../less4sb22.jpg

10. If http://ce.byu.edu/courses/hs/9990630.../less4sb15.jpg , then http://ce.byu.edu/courses/hs/9990630.../less4sb23.jpg

- http://ce.byu.edu/courses/hs/9990630.../less4sb24.jpg
- http://ce.byu.edu/courses/hs/9990630.../less4sb25.jpg
- http://ce.byu.edu/courses/hs/9990630.../less4sb26.jpg
- http://ce.byu.edu/courses/hs/9990630.../less4sb27.jpg

11. In order to prove that http://ce.byu.edu/courses/hs/9990630.../less4sb15.jpg by ASA, we would need to show that

- http://ce.byu.edu/courses/hs/9990630.../less4sb28.jpg
- http://ce.byu.edu/courses/hs/9990630.../less4sb29.jpg
- http://ce.byu.edu/courses/hs/9990630.../less4sb30.jpg
- http://ce.byu.edu/courses/hs/9990630.../less4sb31.jpg

12. If http://ce.byu.edu/courses/hs/9990630.../less4sb32.jpg , then we can prove that http://ce.byu.edu/courses/hs/9990630.../less4sb33.jpg by

- SSS
- SAS
- ASA
- AAS

13. If http://ce.byu.edu/courses/hs/9990630.../less4sb34.jpg , which of the following statements is true?

- http://ce.byu.edu/courses/hs/9990630.../less4sb35.jpg by ASA.
- http://ce.byu.edu/courses/hs/9990630.../less4sb35.jpg by SAS.
- http://ce.byu.edu/courses/hs/9990630.../less4sb35.jpg by SSA.
- We cannot prove that http://ce.byu.edu/courses/hs/9990630.../less4sb35.jpg.

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

Theorem 4.12 Medians of congruent triangles are congruent.

http://ce.byu.edu/courses/hs/9990630...peed_14-20.jpg

http://ce.byu.edu/courses/hs/9990630...ed_14-20_b.jpg

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

- http://ce.byu.edu/courses/hs/9990630.../less4sb36.jpg
- http://ce.byu.edu/courses/hs/9990630.../less4sb37.jpg
D is the midpoint ofhttp://ce.byu.edu/courses/hs/9990630.../less4sb38.jpg .- http://ce.byu.edu/courses/hs/9990630.../less4sb39.jpg

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

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

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

- http://ce.byu.edu/courses/hs/9990630.../less4sb40.jpg
- http://ce.byu.edu/courses/hs/9990630.../less4sb41.jpg
- H is the midpoint of http://ce.byu.edu/courses/hs/9990630.../less4sb42.jpg .
- http://ce.byu.edu/courses/hs/9990630.../less4sb43.jpg

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

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

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

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

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

- SSS
- SAS
- ASA
- AAS

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

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

Use the following figure to answer question 21.

http://ce.byu.edu/courses/hs/9990630...l4speed_21.jpg

21. From the construction marks shown in the diagram, we can tell that http://ce.byu.edu/courses/hs/9990630.../less4sb44.jpg is

- an altitude of http://ce.byu.edu/courses/hs/9990630.../less4sb45.jpg
- an angle bisector of http://ce.byu.edu/courses/hs/9990630.../less4sb45.jpg
- a median of http://ce.byu.edu/courses/hs/9990630.../less4sb45.jpg
- a perpendicular bisector of http://ce.byu.edu/courses/hs/9990630.../less4sb45.jpg