Geometry
Chapter 4 Test Review
Name ______________________
Period _____
#1 – 7: Know what it takes for a triangle to be the following [use your 4-1 notes]
1. acute triangle: _______________________________________________________________
2. equiangular triangle:___________________________________________________________
3. right triangle:________________________________________________________________
4. obtuse triangle:_______________________________________________________________
5. equilateral triangle:____________________________________________________________
6. isosceles triangle:_____________________________________________________________
7. scalene triangle:______________________________________________________________
#8 - 10: Classify the triangle by angle measures. [choices: acute, equiangular, right, obtuse]
8. ∆EHG _____________________
9. ∆FGH _____________________
10. ∆EFH _____________________
#11 - 13: Classify the triangle by side lengths. [choices: equilateral, isosceles, scalene]
11. ______________
12. ______________
13. ______________
(∆EHG)
14. Using the measurements in the picture, find y and find all 3 side lengths of this equilateral triangle.
Show work for credit.
y = _______
FG = _______
GH = _______
FH = _______
work:
15. I’m planning to put together gift baskets for my aunts and uncles. I bought 145 packages of coffee
and I want to put 10 packages in each gift basket. How many gift baskets can I make? [I want
the answer as a whole number since I don’t want to give some people more coffee in their baskets
than others.] Show work for credit.
16. The three angle measures in a triangle add to _______°.
17. True or False
The three angles in any triangle add to 180°.
18. In a right triangle, the other two angles add to _______°.
19. In an equiangular triangle, each angle is _______°.
_______ 20. Which pair of angle measures CANNOT be the acute angles of a right triangle?
A. 29° and 61°
B. 30° and 60°
C. 38° and 53°
D. 45° and 45°
#21 – 24: Write the part labeled in the picture. [choices: interior, exterior, exterior angle,
remote interior angles]
21. _(A)_____________________________
22. _(B)_____________________________
23. _(1 & 2)__________________________
B
A
24. _(4)_____________________________
25. Fill-in-the-blanks:
[this is the Exterior Angles Theorem]
m _____ = m _____ + m _____
________ 26. What is the m RST?
Show work for credit.
work:
27.
Fill-in-the-blanks:
If
L
____ and
28. List all congruent corresponding sides.
M
____, then
____
List all congruent corresponding angles.
_______
_______
_______
_______
_______
_______
_______
_______
_______
_______
_______
_______
29. Given: ∆DEF
____.
∆LMN. Find the value of x. Show work for credit. x = __________
work:
30. Given: ∆KLM
∆RST. Find the value of x. Show work for credit. x = __________
#31 & 32: Know the difference between the included side and the included angle of a polygon.
31. included side:
32. included angle:
The letters in these (and other) triangle congruence theorems are abbreviating what words?
33. ASA:
34. HL:
#35 – 43: Write the reason that can be used to prove the two triangles congruent. If
there is more than one way possible, list all possibilities. If congruence
cannot be determined, write none.
[possible reasons: SSS, SAS, ASA, AAS, HL]
35. _________
36. _________
37. _________
38. _________
39. _________
40. _________
41. _________
42. _________
43. _________
44. What is AC? ___________
(be sure to include the units in your answer)
45. Solve for x. Show work for credit.
x = __________
work:
46. Know the following 2 theorems:
Isosceles Triangle Theorem:
Converse of the Isosceles Triangle Theorem:
#47 – 50: Know the definitions for the parts of an isosceles triangle.
47. leg:
48. vertex angle:
49. base:
50. base angle:
51. Fill in the blank: Two triangles are congruent if and only if their ____________________ sides
and angles are congruent.
52. Solve for t. Find the measures of all three angles. Show work for credit.
t = ________
work:
m D = ________
m E = ________
m F = ________
53. If a triangle is __________________, then it is _____________________.
hints 
(3 equal sides)
(3 equal angles)
If a triangle is __________________, then it is _____________________.
54. Find x. Show work for credit.
x = ______
B
A
C
work: