Answers

Geometry Test Review Quadrilaterals Name_______
Moody Answers Date________
Part 1: Given Quadrilateral ABCD is a Parallelogram with m ADC = 134 ,
m BAC = 22 , and m
CBD= 52 . Find…
__46___ = m BCD ___82___ = m
ABD
___82___ = m BDC ___22___ = m
ACD
D
M
A
___104__ = m BMC ___76___ = m
CMD
C
B
Part 2: Given Quadrilateral ABCD is a Rhombus with m ADC = 116 and
AB = 10 ; BD= k . Find…
_64____ = m BCD __32____ = m
CAD
D
A
_58___ = m DBA __90____ = m
BMC
M
_10____ = AD
__k/2____ = MB
C
B
Part 3: Given Quadrilateral ABCD is a Rectangle with m ABD = 58 ; AC = 20 ;
Find…
D
___90__ = m BCD __32___ = m
CBD
A
___58___ = m BDC ___58___ = m
ACD
M
__32____ = m CAD ___32___ = m
BDA
_116___ = m BMC ___64___ = m
CMD
C
B
___20___ = BD
__10____ = CM
Part 4: Given Quadrilateral ABCD is a Square with AC = 12 2 .
___90__ = m BCD ___45___ = m
ABD
A
B
__45____ = m CAD ___90___ = m
BMC
___12___= AD
__ 6 2 ____= MB
M
D
C

Part 5: Given Quadrilateral ABCD is a Kite with m BCA= 45 , m BDA= 30 .
AC = 10, Find…
__90____ = m BMC __30____ = m
BDC
B
__60____ = m CAD __45____ = m
BAC
A
M
C
__105___ = m BCD ___45___ = m
ABD
___10___= AD
__5 2____= AB
D
Part 6: Given Quadrilateral ABCD is an Isosceles Trapezoid with bases
AB = 4.4 and DC = 9.6 and midsegment EF ; AD = 6 m ABC = 115 . Find…
__65____ = m BCD __115___ = m
BAD
__65___ = m ADC ___65___ = m
BFE
A
B
_115____ = m DEF ___3____ = AE
E
F
__3___= FC ____7___= EF
___26___= Perimeter ABCD
Part 7: Algebra
D
C
1. Given Rectangle ABCD and m ABC = 12x
− 6 , find x. x=8
2. Given Rhombus ABCD and m ABC = 80 . If m BCA= 7x+
1, find x. x=7
3. Given Parallelogram ABCD and m ABC = 12x
− 6 and m BCD= 8x−14,
find x. x=10
4. Given trapezoid ABCD with median EF and bases AB and CD . Find
AB if EF = 5x
− 1, AB = x + 5 , and CD = 6x
+ 2 x=3. AB = 8
Part 8: What kind of quadrilateral is it if…(use midpoint, slope, distance formulas)
1. A( - 2,3) B( 3, 0 ) C ( 0,- 5) D ( - 5,- 2) Square
90°
90° 90°
Rectangle Rgombus Isos. Trapezoid Square Kite