7. Quadrilateral MNOP is a parallelogram in Figure 8. If MN = 2x – 10 and PO =x+30, how long is MN? A. 50 В. 60 C. 70 D. 80 Figure 3 M

Elementary Geometry For College Students, 7e
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Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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7. Quadrilateral MNOP is a parallelogram in Figure 8. If MN = 2x - 10
and PO = x+ 30, how long is MN?
A. 50
В. 60
C. 70
D. 80
13. In Figure 13, OJUST is a parallelogram. What is the length of JT?
А. З
В. 11
C. 14
D. 24
Figure 13
Figure 8
m-7
10m - 19
M
5K 37
Which of the following statements can be used to prove quadrilateral
JUMP is a parallelogram in Figure 9?
A. JU = UM and MP PI
B. JU = JP and PM = UM
C. Jū PM and JF = UM
D. JM = PU and JPs UM
14. The sum of two angles of a parallelogram is 110e, What is the measure of
cach of its angles?
Figure 9
A. 55°, 55, 125", 125°
B. 75", 75", 165", 165
C. 110", 110", 250, 250
D. 110, 120, 130°, 140
9. Quadrilateral BEST is a parallelogram in Figure 10. If mzB = 3x - 20
and mes = 2(x + 5), what is the value of x2
A. 25
В. 30
С. 35
D. 40
15. Two adjacent angles of a parallelogram are in the ratio 4:5. What is the
measure of cach of its angles?
A. 90", 90°, 90°, 90°
C. 70°, 90", 100°, 100°
B. 80", 80°, 100°, 100
D. 60°, 90°, 105°, 105
Figure 10
10. What is the length of RC if RS = 5x - 6 and SC = 3x -1 in OROCK
below?
区
Congratulations! You are done with this module.
A. 6.5
В. 12
С. 13
D. 13.5
Figure 10
11. In figure 11, quadrilateral HOUR is a parallelogram. If nzRHO = 4(x +
5) and meHOU = 2(3x + 20), what is mzRUO?
A. 50
Figure 11
U
В. 68
С. 100
D. 112
12. What is the length of AT in parallelogram FAST below?
Figure 12
А. 8
В. 31
C. 46
D. 52
3x
2x 7
Transcribed Image Text:7. Quadrilateral MNOP is a parallelogram in Figure 8. If MN = 2x - 10 and PO = x+ 30, how long is MN? A. 50 В. 60 C. 70 D. 80 13. In Figure 13, OJUST is a parallelogram. What is the length of JT? А. З В. 11 C. 14 D. 24 Figure 13 Figure 8 m-7 10m - 19 M 5K 37 Which of the following statements can be used to prove quadrilateral JUMP is a parallelogram in Figure 9? A. JU = UM and MP PI B. JU = JP and PM = UM C. Jū PM and JF = UM D. JM = PU and JPs UM 14. The sum of two angles of a parallelogram is 110e, What is the measure of cach of its angles? Figure 9 A. 55°, 55, 125", 125° B. 75", 75", 165", 165 C. 110", 110", 250, 250 D. 110, 120, 130°, 140 9. Quadrilateral BEST is a parallelogram in Figure 10. If mzB = 3x - 20 and mes = 2(x + 5), what is the value of x2 A. 25 В. 30 С. 35 D. 40 15. Two adjacent angles of a parallelogram are in the ratio 4:5. What is the measure of cach of its angles? A. 90", 90°, 90°, 90° C. 70°, 90", 100°, 100° B. 80", 80°, 100°, 100 D. 60°, 90°, 105°, 105 Figure 10 10. What is the length of RC if RS = 5x - 6 and SC = 3x -1 in OROCK below? 区 Congratulations! You are done with this module. A. 6.5 В. 12 С. 13 D. 13.5 Figure 10 11. In figure 11, quadrilateral HOUR is a parallelogram. If nzRHO = 4(x + 5) and meHOU = 2(3x + 20), what is mzRUO? A. 50 Figure 11 U В. 68 С. 100 D. 112 12. What is the length of AT in parallelogram FAST below? Figure 12 А. 8 В. 31 C. 46 D. 52 3x 2x 7
Gauge
Directions: Read each item carefully. Write the letter of the correct answer
for each question in a separate sheet of paper.
1. Which of the following quadrilaterals is NOT a parallelogram?
A. Rectangle
2. Which of the following statements BEST describes a parallelogram?
A. A quadrilateral with one pair of parallel sides.
B. A quadrilateral with two pairs of parallel sides.
C. A quadrilateral with two pairs of congruent sides.
D. Any four-sided figure with opposite sides congruent.
3. What reason can be used to prove that OLOVE is a parallelogram in
Figure 6?
A. Opposite sides are parallel.
B. Opposite sides are congruent.
C. Opposite angles are congruent.
D. Opposite sides are both parallel and congruent.
B. Rhornbus
C. Square
D. Trapezoid
E
V
Figure 6
2
(2
L
O.
4. Which of the following statements
parallelogram?
A. Diagonals bisect each other.
B. Opposite sides are congruent.
C. Opposite angles are congruent.
D. Opposite sides are not parallel.
is NOT
property of a
5. Based on the markings, what reason can be used to prove that O
GEOM is a parallelogram in Figure 7?
A. Opposite angles are congruent.
B. Opposite angles supplementary.
C. Consecutíve angles are congruent.
D. Consecutive angles are supplementary.
E
Figure 7
M
6. Which of the following statements describes the diagonals of a
parallelogram?
A. Diagonals are congruent.
B. The diagonals bisect each other.
C. A diagonal form four congruent triangles.
D. The diagonals form two congruent triangles.
14
Transcribed Image Text:Gauge Directions: Read each item carefully. Write the letter of the correct answer for each question in a separate sheet of paper. 1. Which of the following quadrilaterals is NOT a parallelogram? A. Rectangle 2. Which of the following statements BEST describes a parallelogram? A. A quadrilateral with one pair of parallel sides. B. A quadrilateral with two pairs of parallel sides. C. A quadrilateral with two pairs of congruent sides. D. Any four-sided figure with opposite sides congruent. 3. What reason can be used to prove that OLOVE is a parallelogram in Figure 6? A. Opposite sides are parallel. B. Opposite sides are congruent. C. Opposite angles are congruent. D. Opposite sides are both parallel and congruent. B. Rhornbus C. Square D. Trapezoid E V Figure 6 2 (2 L O. 4. Which of the following statements parallelogram? A. Diagonals bisect each other. B. Opposite sides are congruent. C. Opposite angles are congruent. D. Opposite sides are not parallel. is NOT property of a 5. Based on the markings, what reason can be used to prove that O GEOM is a parallelogram in Figure 7? A. Opposite angles are congruent. B. Opposite angles supplementary. C. Consecutíve angles are congruent. D. Consecutive angles are supplementary. E Figure 7 M 6. Which of the following statements describes the diagonals of a parallelogram? A. Diagonals are congruent. B. The diagonals bisect each other. C. A diagonal form four congruent triangles. D. The diagonals form two congruent triangles. 14
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