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Name __________________________________Date: __________________________ Hour _____
Geometry A – Chapter 4 Final Review Practice
Section 4.1 Apply Triangle Sum Properties
For problems # 1 – 4 , classify the triangle by its side lengths or angles.
1. no congruent sides
2. Angles measures: 25°, 130°, 25°
3. Angles measures: 60°, 60°, 60°
4. Side lengths: 10cm, 10cm, 10cm
Find the value of x.
5.
6.
7.
4x°
5x°
8. Find mDBC .
9. Find the value of x.
D
50°
A
B
C
Section 4.2 Apply Congruence and Triangles
Given, ABC  DEF. Complete the statement.
10. EF  ____
13. mC = ____
11. A  ___
14. AC = ____
12. E  ____
15. CBA  ____
Write the correct congruence statement for these triangles.
16.  ______   _______
Geo. Ch.4 Final Review Practice 6/2011
Name __________________________________Date: __________________________ Hour _____
Sections 4.3 to 4.5 Prove Triangle Congruence by SSS, SAS, HL, ASA, AAS &
Use Congruent Triangles (CPCTC)
Using the diagrams, choose the appropriate postulate or theorem that proves triangle congruence:
A. SAS
B. SSS
C. ASA
D. AAS
E. HL
17.
18.
19.
20.
21.
22.
23.
24.
25.
26. Proof
Given: ST  UT , SV  UV
Prove: TSV  TUV
Statements
Reasons
1. ST  UT , SV  UV
1.
2.
2. TV  TV
3. TSV  TUV
4. TSV  TUV
27. Proof
3.
4.
Given: WZ XY ,WZ  XY
Geo. Ch.4 Final Review Practice 6/2011
Name __________________________________Date: __________________________ Hour _____
Prove: XWZ  ZYX
Statements
Reasons
1. WZ XY ,WZ  XY
1.
2.
2. XZ  XZ
3.
3. WZY  YXZ
4.
4. XWZ  ZYX
Section 4.7 Use Isosceles and Equilateral Triangles
28. Find mB .
B
27°
A
C
29. Find the value of x.
30. In SAT , if SA  AT and mS  44°, then find the mT .
Geo. Ch.4 Final Review Practice 6/2011