### Geo 2

```Name
Class
Date
Quarter 2 Test
Form K
Chapters 4–6
1. ABC XYZ. What side is congruent to AC?
2. Find the value of x.
8. Give the coordinates of point O without using
any new variables.
N(a,b)
O
2x
M(0,0)
P(c,0)
3x 4
3. For what value of x must ABCD be a
parallelogram?
m
3x26
B
C
4
A
9. Find the value of m in the regular octagon.
4
5x 214
D
4. Find mYXZ.
10. List the angles of ABC from smallest to
largest if AB = 12, BC = 16, and AC = 22.
X
11. What theorem or postulate can you use to
prove the pair of triangles congruent?
Z
62
Y
5. Find the values of x and y.
y
x
12. Find the values of x and y in the trapezoid.
x
85
60
142
y
For Exercises 6 and 7, state the postulate or theorem
you could use to prove each pair of triangles
congruent.
13. Given the coordinates of the vertices of
parallelogram ABCD, how can you use the
coordinates to show that ABCD is a rhombus?
14. Determine the value of x for which the figure is
a rectangle.
6.
2x
3x
7.
5
1
13
5x
7
15. What is the most precise name for a quadrilateral
with four right angles and four congruent sides?
A parallelogram
C rhombus
B rectangle
D square
Prentice Hall Geometry • Progress Monitoring Assessments
69
Name
Class
Quarter 2 Test
Date
Form K
(continued)
Chapters 4–6
16. What is the name of the point of concurrency
of the perpendicular bisectors of a triangle?
24. Find m1
in the kite below.
348
1
17. Find the value of x.
12
x
13
25. What is the most precise A
ABCD?
B
D
C
18. Write an inequality relating QTR and RTS.
Q
26. An isosceles triangle has angles measuring 55°
and 70°. What is the measure of the third angle?
26
R
T
29
27. Give the reason for the final statement to
complete the following proof.
A
D
Given: AE DE
E
EBC ECB
C Prove: AB DC
B
S
19. What theorem or postulate can you use to
prove the pair of triangles congruent?
Statements
1. AE DE
2. EBC ECB
3. BE CE
20. Find the value of x.
4. AEB DEC
5. AEB DEC
6. AB DC
X
3x⫺ 12
Reasons
1. Given
2. Given
3. Converse of Isosceles
Triangle Theorem
4. Vertical angles
5. SAS Postulate
6. 9
x⫹ 8
28. AB y MN. Is AB a midsegment? Explain.
L
Y
Q
Z
A
21. What must be true for AB
to be an angle bisector
of ACD?
A
M
x13
B
2x16
N
29. What is the most precise name for quadrilateral
ABCD with A(4, 0), B(6, 3), C(2, 3), and D(0, 0)?
C
B
D
30. What common angle do XYZ and XBC share?
22. Writing Use indirect reasoning to show that
there can be only one obtuse angle in a triangle.
23. In ABC, mA = 62° and mC = 58°. List
the sides in order from smallest to largest.
Y
C
X
Z
B
Prentice Hall Geometry • Progress Monitoring Assessments