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,...
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Question
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Transcribed Image Text:Module 4: Solving Problems Involving Parallelograms, Trapezoids and Kites
Choose the letter of the correct answer. Wrte your answer on the space provided.
1. Quadrilateral SAFE is a parallelogram, If mzS3(x+15)° and mZF=75°, what is x?
a. x= 40
b. x = 50
C. X = 60
d. x = 70
2. A glass was cut to fit in a window case which is trapezoid in shape. The bases of the trapezoid measure 5 ft and 3
ft, respectively. What is the length of the medi1lan?
a. 3 ft
b. 4 ft
c. 5 ft
d. 6 ft
3. The area of a kite is 30 in. If the longer diagonai is 4 inches more than the shorter diagonal, what are the lengths
of the two diagonals?
a. 12 in and 5 in
b. 15 in and 4 in
c. 6 in and 5 in
d. 10 in and 6 in
4. Quadriiateral FACE is a parallelogram, If FA= 5x+5, EC=9x-11, and EF=15 cm, what is the perimeter of the
parallelogram?4x
60 cm
b. 70 cm
c. 80 cm
d. 90 cm
a.
5. Refer to number 4, what is the measure of FA?
c. 25 cm
a. 15 cm
b. 20 cm
d. 30 cm
6. Refer to number 4, what is the measure of EC?
a. 15 cm
c. 25 cm
b. 20 cm
d. 30 cm
7. Refer to number 4, what is the value of x?
с. 6
a. 2
b. 4
d. 8
8. Quadrilateral MASK is an isosceles trapezoid with MA || KS. If mZK= 4x+50 and mZS=150-x, what is mZA?
a. 20°
b. 30°
C. 40°
d. 50°
9. Refer to number 8, what is mZK?
a. 130°
b. 120°
c.110°
d. 100°
10. Refer to number 8, what is the value of x?
с. 15
a. 5
b. 10
d. 20
11. Cuadrilateral LOVE is a kite in which LO=8 in and VE=20 in. what is the perimeter of the kite?
c. 56 in
a. 36 n
b. 46 in
d. 66 in
12. Quadrilateral POST is an isosceles trapezoid with OS || PT. If m20=10x+20 and mz P=8x-2, what is x?
a. 3
b. 6
с. 9
d. 12
13. Quadrilateral MGCQ is an isosceles trapezoid with MG || QC. If MC=100 cm and GQ=5y+15, what is the value of y?
a. 17
b. 18
с. 19
d. 20
14. Quadrilateral ABCD is an isosceles trapezoid with AB || DC and AD = BC. If AD=4x and BC=3x+5, what is the value
of x?
a. 6
b. 5
с. 4
d. 3
15. Refer to number 14, what is the ength of BC?
c. 25
a. 15
b. 20
d. 30
Transcribed Image Text:2X
N/110
3X+25
Refer to the figure for questions 16- 19
Quadrilateral DYEN is a kite
16. Find the value of x
a. 20
b. 21
c. 22
d. 23
17. Find the mz D?
a. 26
b. 36
C. 46
d. 56
18. Find the mz E?
a. 64
b. 74
C. 84
d. 94
19. Find the mzY?
a. 90
b. 100
C. 110
d. 120
20. What is the total mz DYEN?
Decide whether the statement is TRUE or FALSE. Write your answer on the space provided.
21. The diagonals of a kite are congruent.
22. if a quadrilateral is a kite, then exactly one pair of consecutive angles is congruent.
23. The midsegment of a trapezoid is equivalent to one half the difference of the lengths of the bases
24. The midsegment of a trapezoid is a line segment connecting the midpoints of its legs
25. Base angles of an isosceles trapezoid are congruent.
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