Download Geometry Chapter 4 Practice Test Name

Geometry Chapter 4 Practice Test
Name:
1. What is the measure of each base angle of an isosceles triangle if its vertex angle measures 30 degrees and its
2 congruent sides measure 16 units?
2. Classify LMN.
3. Use information in the figure below to find mE.
4. Find the value of x.
____
5. Which triangles are congruent? Why?
6. Find the value of x.
7.
. Name the theorem or postulate that justifies the congruence.
Write the converse of the following statement(s). Then tell whether the converse is True or False.
8. If a triangle has three congruent angles, then it is equilangular.
9. The two triangle-shaped gardens are congruent. Find the missing side lengths and angle measures.
10. What is the value of z? (The figure may not be drawn to scale.)
11.Find the value of x.
12. Solve for x.
The expressions given represent the measures of the acute angles of a right triangle. Find the measure
of each acute angle. Draw a triangle to help visualize the problem.
13.
14. Given: ABC is an equilateral triangle; D is the midpoint of
Prove: ABD  CBD
Statement
1. ABC is an equilateral triangle
Reason
1.
2. AB  CB
2. Definition of equilateral
3. D is the midpoint of AC
3.
4.
4. Definition of midpoint
5. BD  BD
5.
6. ABD  CBD
6.
15. In the diagram,
20. Find the values of x and y.
. Explain why
.
16. Would HL, ASA, SAS, AAS, or SSS be used to justify that the pair of triangles is congruent?
17. Is there enough information given to prove that the following pairs of triangles are congruent? Why?
18. Given:
Prove:
Statements
1. AB  DE
Reasons
1.
2. B  E
2.
3. ACB  DCE
3.
4. ABC  DEC
4.
19. Complete the reasons of this proof.
Given:
||
;

Prove: ABE  DBC
Statements
1. AE DC  AB  DB
Reasons
1.
2. A  D
2.
3. ABE  DBC
3.
4. ABE  DBC
4.