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 of http://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
