2x + 15 x+15 80 5. To find the length of LE and OV in the given figure, which of the following properties of parallelogram should be considered? A. Opposite sides are congruent. B. Opposite angles are congruent. C. Consecutive angles are supplementary. D. Diagonals bisect each other. 6. To find the measure of 20VE of parallelogram LOVE, which of the following properties must be applied? A. Opposite sides are congruent. B. Opposite angles are congruent. C. Consecutive angles are supplementary D. Diagonals bisect each other. 7. Which description does NOT guarantee that a quadrilateral is a square? A. is both a rectangle and a rhombus. B. is a parallelogram with perpendicular diagonals. C. has all sides congruent and all angles congruent. D. has all right angles and has all sides congruent.

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
2x + 15
/x+ 15
80°
E
5. To find the length of LE and OV in the given figure, which of the following
properties of
parallelogram should be considered?
A. Opposite sides are congruent.
B. Opposite angles are congruent.
C. Consecutive angles are supplementary.
D. Diagonals bisect each other.
6. To find the measure of 2OVE of parallelogram LOVE, which of the following properties must be
applied?
A. Opposite sides are congruent.
B. Opposite angles are congruent.
C. Consecutive angles are supplementary
D. Diagonals bisect each other.
7. Which description does NOT guarantee that a quadrilateral is a square?
A. is both a rectangle and a rhombus.
B. is a parallelogram with perpendicular diagonals.
C. has all sides congruent and all angles congruent.
D. has all right angles and has all sides congruent.
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
589
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
Transcribed Image Text:2x + 15 /x+ 15 80° E 5. To find the length of LE and OV in the given figure, which of the following properties of parallelogram should be considered? A. Opposite sides are congruent. B. Opposite angles are congruent. C. Consecutive angles are supplementary. D. Diagonals bisect each other. 6. To find the measure of 2OVE of parallelogram LOVE, which of the following properties must be applied? A. Opposite sides are congruent. B. Opposite angles are congruent. C. Consecutive angles are supplementary D. Diagonals bisect each other. 7. Which description does NOT guarantee that a quadrilateral is a square? A. is both a rectangle and a rhombus. B. is a parallelogram with perpendicular diagonals. C. has all sides congruent and all angles congruent. D. has all right angles and has all sides congruent. 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° 58 589 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
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
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