Download Chapter 4 Review

Geometry B Chapter 4 Test Review
Name __________________________ Hr ____
Classify the triangle by its sides and angles.
1. ____________
2. _______________
_____________
_______________
3. __________________ 4. _________________
__________________
_________________
Find each measure.
45°
5. 𝑚∠1 = __________
1
6. 𝑚∠2 = __________
2
22°
75°
3
7. 𝑚∠3 = __________
8. Triangles are proved congruent by what 4 methods? ________, _______, ______, ______
9. Identify the congruent triangles by giving a congruence statement. Find the congruent side.
Δ______________ ≅ Δ_____________
C
E
F
̅̅̅̅ ≅ _______
𝐶𝐵
A
A
B
10. What is 𝑚∠𝐴𝐵𝐶?
______________
11. What is 𝑚∠𝑋𝑌𝑍?
Y
______________
64°
24°
C
D
X
B
12. Triangles DEF and DGH are congruent equilateral triangles. Find x and y.
E
G
x= ___________
D
y= ___________
3y
F
H
Z
Identify the type of congruence transformation.
13. _________________
14. _________________
16. Use the figure to find 𝑚∠𝐵.
15. ___________________
B
____________________
156°
46°
A
C
Find the measure of each numbered angle.
17. ∠1 ______
3
18. ∠2 ______
19. ∠3 ______
1 125°
62°
20. ∠4 ______
2
4
32°
Define:
21. Acute triangle _________________________________________________________________
22. Equiangular triangle ____________________________________________________________
23. Equilateral triangle _____________________________________________________________
24. Exterior angle _________________________________________________________________
25. Isosceles triangle ______________________________________________________________
26. Obtuse triangle ________________________________________________________________
27. Remote interior angles __________________________________________________________
28. Scalene triangle _______________________________________________________________
29. Write a two column proof
A
B
Given: ̅̅̅̅
𝐵𝐴 ≅ ̅̅̅̅
𝐷𝐶 , ∠𝐵𝐴𝐶 ≅ ∠𝐷𝐶𝐴
Prove: Δ𝐴𝐶𝐷 ≅ Δ𝐶𝐴𝐵
D
C
Statements
Reasons