This document is a homework worksheet focused on trapezoids, part of Unit 8 in a geometry curriculum. Authored by Gina Wilson, it provides a structured approach to understanding trapezoids, including their properties and related calculations. The worksheet includes various problems that require students to find missing angle measures and solve for variables in trapezoidal figures. It features multiple trapezoid diagrams and angle measures, encouraging students to apply their knowledge of polygons and quadrilaterals. The document is designed for educational purposes, suitable for high school geometry classes, and serves as a valuable resource for both students and teachers. It is part of a series of worksheets created by Gina Wilson, known for her comprehensive educational materials.
Directions: If each quadrilateral below is a trapezoid, find the missing measures.
1. 2.
3. 4.
5. Solve for x. 6. Find mB.
7.
8.
Name: ___________________________________ Unit 8: Polygons & Quadrilaterals
Date: ________________________ Per: _______ Homework 7: Trapezoids
mC = _________
mE = _________
Q
R
S
T
91
27
mQ = _________
mS = _________
mJ = _________
mL = _________
mM = _________
W
X
Y
Z
146
mW = _________
mX = _________
mZ = _________
U
V
T
139
(14x – 15)
(6x + 20)
(8x – 16)
M
N
O
P
mM = _________
mN = _________
mO = _________
mP = _________
(8x – 2)
(13x – 7)
W
X
Y
Z
mW = _________
mX = _________
mY = _________
mZ = _________
A
B
C
D
(9x + 2)
(5x – 4)
J
K
L
M
83
C
D
E
F
134
79
** This is a 2-page document! **
© Gina Wilson (All Things Algebra
®
, LLC), 2014-2019
© Gina Wilson (All Things Algebra
®
, LLC)
9.
10. If EFGH is an isosceles trapezoid, EH = 4x – 27, FG = x + 9, EG = 3y + 19, and FH = 11y – 21,
solve for x and y.
11. Find WX. 12. Find AB.
13. Find ML.
14. Find GH.
15. Find RS.
E
F
G
H
(25x – 14)
J
K
L
M
(7x + 2)
mJ = _________
mK = _________
mL = _________
mM = _________
P
Q
R
S
W
X
27
39
A
B
C
D
M
N
22
29
J
K
L
M
N
P
45
10x – 12
3x + 11
5x + 1
B
C
E
F
G
H
19
9x – 3
R
S
W
U
V
T
3x + 5
6x – 37
2x + 15
© Gina Wilson (All Things Algebra
®
, LLC), 2014-2019
© Gina Wilson (All Things Algebra
®
, LLC)
End of Document
67
