7. EFGH is an isosceles trapezoid, with legs and . 5 2

Name: _______________________________ Class Period: _______ Date: _________________ Alpha Geometry Chapter 5 Worksheet 5.5c ~ Properties of Trapezoids and Kites Find the measures of ∠1 and ∠2. 1. 2. 1
1
54°
90°
2
2
77 °
3. 4. 1
111 °
1
22°
2
2
6. The perimeter of a kite is 66 cm. The length of one of its sides is 3 cm less than twice the length of another. Find the length of each side of the kite. 7. EFGH is an isosceles trapezoid, with legs HE and GF .
EJ = x + 5
JG = 2 x -1
H
J
HF = 13
Find: EJ, JG, and HJ.
E
I
8. m∠IPT = 5 x − 10
KP = 6 x
Find KT
K
P
E
T
G
F
9. An author wrote a problem involving kite KITE, but forgot to say which pairs of sides were congruent. Work the problem twice to see which pairs of sides are congruent. I
2x+30
20+3x
K
T
6-2x
E
10. ABCD is an isosceles trapezoid with upper base AD.
D
BE = x + 7, CE = y − 3, AE = x + 5, BD = y + 4
Find AC.
Find the value of the variable(s). 11. 12. 6x-3
4x+1
2x+3
A
E
B
C
13. (3x+5)°
y°
(x+6)°
2x°
(2x-4)°
(4x-30)°
(2y-20)°

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