8. In rhombus HOME, what is the measure of mzHMO if mz0EM = 30 А. 30 В. 40 С. 60 D. 120

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.CT: Test
Problem 16CT: Complete the proof of the following theorem: The diagonals of an isosceles trapezoid are congruent....
icon
Related questions
Question
Please answer all of them ?. Thank you.
8. In rhombus HOME, what is the measure of mzHMO if mz0EM = 30
А. 30
В.40
С. 60
D. 120
Figure 2
Use figure 2 for numbers 9-12.
9. What condition will NOT make parallelogram
KAYE a rectangle?
A. KE = AY
B. ZK is a right angle
C. KỸ 1 AE
D. RY and AỂ intersect at point O
10. If the diagonal of a rectangle measures 21 cm, what is the measure of the other
diagonal?
A. Twice as long as 21 cm
B. The have the same measure
C. Half as long as 21 cm
D. They are not congruent
11. KAYE is a rectangle. if diagonal KY = 2x + 4 and diagonal AE = 10, what is x?
А. 1
В. 2
С. 3
D. 4
12. Quadrilateral KAYE is rectangle, m LKAE = 6x+ 2 and m zYEA = 2x + 4. What is
the measure of mzKAE?
А. 2
В. 5
С. 8
D. 14
Use figure 3 for numbers 13 - 15.
Figure 3
13. ABČD is a square with diagonals AC and BD.
If AC = 10x + 10 and BD = x + 73. How long is each diagonal?
А. 7
В. 80
С. 90
D. 100
14. ABCD is a square, If m LABD = 3(x + 8), what is x?
A
B
А. 1
В. 3
С. 5
D. 7
15. If DC = 7m, what is the length of each diagonal?
A. 4V7
В. 5/2
C. 6V2
D. 7V2
Transcribed Image Text:8. In rhombus HOME, what is the measure of mzHMO if mz0EM = 30 А. 30 В.40 С. 60 D. 120 Figure 2 Use figure 2 for numbers 9-12. 9. What condition will NOT make parallelogram KAYE a rectangle? A. KE = AY B. ZK is a right angle C. KỸ 1 AE D. RY and AỂ intersect at point O 10. If the diagonal of a rectangle measures 21 cm, what is the measure of the other diagonal? A. Twice as long as 21 cm B. The have the same measure C. Half as long as 21 cm D. They are not congruent 11. KAYE is a rectangle. if diagonal KY = 2x + 4 and diagonal AE = 10, what is x? А. 1 В. 2 С. 3 D. 4 12. Quadrilateral KAYE is rectangle, m LKAE = 6x+ 2 and m zYEA = 2x + 4. What is the measure of mzKAE? А. 2 В. 5 С. 8 D. 14 Use figure 3 for numbers 13 - 15. Figure 3 13. ABČD is a square with diagonals AC and BD. If AC = 10x + 10 and BD = x + 73. How long is each diagonal? А. 7 В. 80 С. 90 D. 100 14. ABCD is a square, If m LABD = 3(x + 8), what is x? A B А. 1 В. 3 С. 5 D. 7 15. If DC = 7m, what is the length of each diagonal? A. 4V7 В. 5/2 C. 6V2 D. 7V2
1. Which of the following theorems is NOT true?
A. Diagonals of a rhombus are congruent
B. Diagonals of a square are congruent
C. Diagonals of a rhombus form perpendicular
D. Diagonals of a rectangle are congruent
2. The following statements hold about a square,
EXCEPT...
A. it has four right angles
B. diagonals form perpendicular.
C. diagonals are congruent
D. Each diagonal does not bisect opposite angles.
3. Which of the following statements could be FALSE?
A. The diagonals of a rectangle are congruent.
B. The diagonals of a square are perpendicular and bisect each other.
C. The diagonals of a square are congruent
D. The diagonals of a rhombus are congruent and perpendicular to each
other.
4. Which of the following kinds of parallelograms has four right angles and diagonals
are perpendicular when bisect each other?
A. Rectargle
C. Square
5. The following statements hold about a rhombus, EXCEPT...
B. Rhombus
D. Trapezoid
A. opposite sides are congruent
C. diagonals form perpendicular
B. diagonals divide opposite angles equally
D. diagonals are congruent
Figure 1
Use figure 1 for numbers 6- 8.
6. HOME is a rhombus, if a diagonal HM is drawn,
what is the measure of mzMHO when mzH is 110?
M
А. 35
В. 55
С. 70
D. 110
7. HOME is a rhombus, if a diagonal EO is drawn, what is the measure of 2OEM?
А. 35
В. 55
С. 70
D. 110
Transcribed Image Text:1. Which of the following theorems is NOT true? A. Diagonals of a rhombus are congruent B. Diagonals of a square are congruent C. Diagonals of a rhombus form perpendicular D. Diagonals of a rectangle are congruent 2. The following statements hold about a square, EXCEPT... A. it has four right angles B. diagonals form perpendicular. C. diagonals are congruent D. Each diagonal does not bisect opposite angles. 3. Which of the following statements could be FALSE? A. The diagonals of a rectangle are congruent. B. The diagonals of a square are perpendicular and bisect each other. C. The diagonals of a square are congruent D. The diagonals of a rhombus are congruent and perpendicular to each other. 4. Which of the following kinds of parallelograms has four right angles and diagonals are perpendicular when bisect each other? A. Rectargle C. Square 5. The following statements hold about a rhombus, EXCEPT... B. Rhombus D. Trapezoid A. opposite sides are congruent C. diagonals form perpendicular B. diagonals divide opposite angles equally D. diagonals are congruent Figure 1 Use figure 1 for numbers 6- 8. 6. HOME is a rhombus, if a diagonal HM is drawn, what is the measure of mzMHO when mzH is 110? M А. 35 В. 55 С. 70 D. 110 7. HOME is a rhombus, if a diagonal EO is drawn, what is the measure of 2OEM? А. 35 В. 55 С. 70 D. 110
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning