Rectangle Rhombus Theorems

Given rectangle DEFG, if FD = 3x - 7 and EG = x + 5, find EG.

• 6

• 11

• 7

• 5

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CCSS.HSG.CO.C.11

Find m∠2.

• 62

• 28

• 90

• 78

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CCSS.HSG.CO.C.11

ABCD is a rectangle.  m∠BCA = 58.  Find m∠BAC. 

• 90

• 58

• 64

• 32

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CCSS.HSG.CO.C.11

If BA=5x+5 and AD=10x-20, find BD.

• 60

• 30

• 5

• 10

TECH is a rhombus, find the value of TE = 5x + 4 and EC = 7x - 4. Find the value of CH.

• CH = 8

• CH = 14

• CH = 4

• CH = 24

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CCSS.HSG.CO.C.11

Solve for x in the rectangle.

• 25

• 20

• 30

• 25/3

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CCSS.HSG.CO.C.11

If AC = 10x+6 and BE = 8x-6, find BD.

• 3

• 18

• 12

• 36

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CCSS.HSG.CO.C.11

Each diagonal of this quadrilateral bisects a pair of opposite angles.

• Parallelogram

• Rhombus

• Rectangle

• Isosceles Trapezoid

Find the measure of angle 2

• 54

• 108

• 72

• 36

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CCSS.HSG.CO.C.11

HIJK is a rectangle. Find the value of length of each diagonal.
HJ = 3x + 5  and IK = 5x - 9 

• 7

• 14

• 26

• 7/3

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CCSS.HSG.CO.C.11