8. Parallelogram FATE has the angle measures as shown. Can you condude that it is a rhombus, a rectangle, or a square? Explain. A. Parallelogram FATE is a rhombus, because the diagonal bisects opposite angles. B. Parallelogram FATE is a square, because all four angles have the same measure. C. Parallelogram FATE is a rectangle, because the diagonal creates congruent triangles. 58 58 587 58

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
8. Parallelogram FATE has the angle measures as shown. Can you conclude that it is a rhombus, a
rectangle, or a square? Explain.
A. Parallelogram FATE is a rhombus, because
the diagonal bisects opposite angles.
B. Parallelogram FATE is a square, because
all four angles have the same measure.
C. Parallelogram FATE is a rectangle, because
the diagonal creates congruent triangles.
D. There is not enough information.
58°
58°
58
58
9. ABCD is a rectangle. If AC = 2x + 6 and diagonal BD = 10, what is x?
A. 1
В. 2
С. 3. D. 4
E
10. AE = 2x + 4 while CE = x + 20, how long is CE?
A. 24 cm
C. 36 cm
В. 30 ст
D. 42 cm
11. If AB = (2x + 5 ) cm, CD = (x + 25 ) cm, AD = ( 2y – 1) cm , and BC = ( y + 14 ) cm, what is the perimeter of
parallelogram ABCD?
A. 29 cm
В. В. 45 сm
C. 119 cm
D. 148 cm
Transcribed Image Text:8. Parallelogram FATE has the angle measures as shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain. A. Parallelogram FATE is a rhombus, because the diagonal bisects opposite angles. B. Parallelogram FATE is a square, because all four angles have the same measure. C. Parallelogram FATE is a rectangle, because the diagonal creates congruent triangles. D. There is not enough information. 58° 58° 58 58 9. ABCD is a rectangle. If AC = 2x + 6 and diagonal BD = 10, what is x? A. 1 В. 2 С. 3. D. 4 E 10. AE = 2x + 4 while CE = x + 20, how long is CE? A. 24 cm C. 36 cm В. 30 ст D. 42 cm 11. If AB = (2x + 5 ) cm, CD = (x + 25 ) cm, AD = ( 2y – 1) cm , and BC = ( y + 14 ) cm, what is the perimeter of parallelogram ABCD? A. 29 cm В. В. 45 сm C. 119 cm D. 148 cm
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education