Download Part 1: Free Response 1. Classify each triangle by its side and its

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Date__________________
Period_________________
Chapter 4 Test Practice
Part 1: Free Response
1. Classify each triangle by its side and its angles.
a.
b.
c.
80
60
50
60
50
60
________________
________________
__________________
___________________
2. Solve for x:
3. Solve for x:
x
52
_______________
________________
40
35
4. Solve for x:
x
25
5. Solve for x:
x
80
42
100
(3x -22)
7. If  ABC   DEF then AB  _____________
6. Solve for x:
2x
x
x
(x +20)
8. If  ABC   DEF then C  _____________
9. Which postulate or theorem can be used to prove the following triangles are congruent?
10. Which postulate or theorem can be used to prove the following triangles are congruent?
11. Which postulate or theorem can be used to prove the following triangles are congruent?
G
K
57

H
33

J
12. Which postulate or theorem can be used to prove the following triangles are congruent?
13. Determine what information you would need to know in order to use the SSS Congruence
Postulate to show that the triangles are congruent.
14. Determine what information you would need to know in order to use the SAS Congruence
Postulate to show that the triangles are congruent.
15. Can ΔRSV ≅ ΔTSV by HL? If so, find the missing information you would need in order to show
congruence.
16. Given that ∆ABC is isosceles with AC  BC , solve for x.
4 x+ 4
A
B
7 x +8
8 x+ 3
C
Part 2: Multiple Choice
17. Two sides of an equilateral triangle measure
units and
units. If the perimeter of the triangle
is 33 units, what is the value of y?
a. y = 11
b. y = 15
c. y = 4
d. y = 7
18. One of the acute angles in a right triangle has a measure of 34.6 . What is the measure of the other acute
angle?
a. 145.4°
b. 34.6°
c. 55.4°
19. What additional information do you need to prove
d. 90°
by the SAS Postulate?
C
B
D
A
a.
b.
c.
d.
20. Find mQ.
P
R
a. m
|
|
xº
(2x + 15)º
= 30 º
Q
b. m
= 60 º
c. m
= 70 º
d. m
= 75 º
Part 3: Review
21. Find the complement and supplement of 38°.
22. Find the midpoint H (7,2) and K (-5,10)
23. State the slope and the y-intercept of 3 x  2 y  12
24. Using the figure to the right, name each of the following:
a. a segment parallel to GH _______
b. a segment skew to AD ________
c. a segment perpendicular to GF ______
d. the intersection of plane ABC and plane DHI ______
B
C
A
D
G
F
H
I
25. Using the diagram, identify a pair of corresponding angles, alternate interior angles, alternate
exterior angles, vertical angles and a linear pair
1 8
2 7
3 6
4 5
BONUS
Write the equation of the line that is parallel to y  2 x  5 but passes through (4,-1)
Write the equation of the line that is perpendicular to y  2 x  5 but passes through (4,-1)