Name:_______________________
Geometry
Chapter 6 Test B
per:_____________
Date:____________________
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. The isosceles trapezoid is part of an isosceles triangle with a 56° vertex angle. What is the measure of an
acute base angle of the trapezoid? Of an obtuse base angle? The diagram is not to scale.
a. 56°; 124°
____
____
b. 56°; 118°
2. In quadrilateral MNOP,
MNOP be? (Draw a picture)
a. parallelogram or rhombus
b. parallelogram only
53°
Which of a parallelogram, trapezoid, or rhombus could quadrilateral
c. trapezoid only
d. any of the three
106°
b°
a.
b.
4.
a. 141
____
d. 62°; 118°
3. Find the values of a and b.The diagram is not to scale.
a°
____
c. 62°; 124°
c.
d.
are base angles of isosceles trapezoid JKLM. If
(Draw a picture)
b. 70.5
c. 39
5. Which statement is true?
a. All rectangles are parallelograms.
b. All quadrilaterals are squares.
c. All quadrilaterals are rectangles.
d. All parallelograms are rectangles.
and
d. 2
____
6. Which description does NOT guarantee that a trapezoid is isosceles?
a. congruent bases
b. congruent diagonals
c. both pairs of base angles congruent
d. congruent legs
____
7. Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
A
B
2x – 0
y + 32
6y – 8
x+ 2
D
C
a. x = 2, y = 40
____
b. x = 2, y = 4
c. x = 2, y = 8
8. If
and
be a parallelogram. The diagram is not to scale.
O
M
c.
1
3
b. x = 4, y = 3
____
find the values of x and y for which LMNO must
N
L
a.
d. x = 8, y = 2
1
3
d. x = 11, y = 3
x = 4, y =
x = 11, y =
9. DEFG is a rectangle. DF = 2x – 6 and EG = x + –4. Find the value of x and the length of each diagonal.
a. x = 2, DF = –2, EG = –2
c. x = 1, DF = –3, EG = –3
b. x = 2, DF = –3, EG = –3
d. x = 2, DF = –2, EG = 2
____ 10. For the parallelogram, if
3
2
a. 16
and
find
The diagram is not to scale.
4
1
b. 162
c. 172
d. 18
Short Answer
11. In the rhombus,
not to scale.
Find the value of each variable. The diagram is
|
|
11. y = ________________
3
x = ________________
1
z = _________________
|
|
2
12. ABCD is a parallelogram. If
A
then
B
D
The diagram is not to scale.
12. mBCD  ___________
C
13. Find the coordinates of the midpoint of the segment with the given endpoints. P( 2, -1) and Q( 5, 3)
13. __________________
14. Find
in the kite. The diagram is not to scale.
|
A
3
|
1
m3  ______________
2
B
||
||
D
32°
14. m1  ______________
C
15. ABCD is a parallelogram. If
A
then
The diagram is not to scale.
B
15. mCDA  ___________
D
C
16. Isosceles trapezoid ABCD has legs
find the value of y. (Draw a picture)
and
and base
If AB = 6y – 4, BC = 2y – 5, and CD = 7y – 13,
16. y = _______________
17. Find AM in the parallelogram if PN =15 and AO = 5. The diagram is not to scale.
M
N
17. AM  _______________
A
P
O
18. Complete this statement: For parallelogram ABCD,
Then state a definition or theorem that justifies your answer.
D
C
18. BO  _______________
_______________________
O
A
B
19. Find the values of the variables in the parallelogram. The diagram is not to scale.
29
19. x = ________________
100
y =_________________
z =_________________
y°
z°
x°
20.Find the values of the variables and the lengths of the sides of this rectangle. The diagram is not to scale.
10x
20. y = _______________
x = _______________
x + 17
3y
length short side_________
length long side__________
y + 62
21. One side of a kite is 6 cm less than four times the length of another side. The perimeter of the kite is 68 cm.
Find the lengths of the sides of the kite. (Draw a Picture)
21.
length short sides ______________
length long sides _______________
22. Find the values of the variables and the lengths of the sides of this kite.
y–5
|
x+ 2
22. y = ________________
|
x = ________________
||
||
length long side__________
3x + 5
x+ 7
length short side_________
23. Give the name that best describes the parallelogram and find the measures of the numbered angles. The
diagram is not to scale.
23. ___________________
|
m1  __________
4
|
|
3
1
2
 
|
m2  __________
m3  __________
m4  __________
24.
and
Find
The diagram is not to scale.
24.
R
=______________
|
|
S
||
||
U
T
25.
Find the length of the segment to the nearest 10th.
27. TR = _____________5
EXTRA CREDIT
26. Use the given endpoint R and midpoint M of RS to find the coordinates of the other endpoint S. (1 point)
26. _______________________
R( -3, 7), M( 2, -4)
27. Write a proof (3 points)
Given:
Prove: VX = XT
V
Statements
U
X
S
T
Reasons