Find Missing Parts of Parallelograms

The figure is a parallelogram. Solve for x.

• 7

• 2

• 0

• 4

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CCSS.HSG.CO.C.11

For parallelogram STUV, find TE.

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CCSS.HSG.CO.C.11

The figure is a parallelogram. Solve for x.

• 1

• 11

• 7

• 6

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CCSS.HSG.CO.C.11

A parallelogram ABCD is shown. Anna is asked to prove that AB≅DC and AD≅BC. Help her complete her proof by using the given statements and reasons under the figure. Fill in the missing steps and reasons in the proof provided.

• △ABC≅△CDA

• 
• Congruent Parts of Congruent Triangles

• 
• Definition of Parallelogram

• 
• AC is a transversal of AD and BC

• 
• Reflexive Property of Congruence

• 

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CCSS.HSG.CO.C.11

The diagonals of parallelograms bisect each other.

1) Name the two diagonals of the parallelogram at right.

​ (a)  

2) Complete the statement below to show that the diagonals bisect each other. AE≅​ ​ (b)   and DE≅​ (c)  

• AC and BD

• EC

• EB

Tags

CCSS.HSG.CO.C.11

Use the parallelogram to determine which of the following values are correct. Select three that apply.

• x=4.5

• y=120

• <A=60

• <B=120

• <c=60

Tags

CCSS.HSG.CO.C.11

​ Part of a roof is shaped like a parallelogram, as shown below. 

What is the measure of ∠A?

• 60 degrees

• 45 degrees

• 90 degrees

• 315 degrees

Tags

CCSS.HSG.CO.C.11

​ Part of a roof is shaped like a parallelogram, as shown below. 

b) What is the measure of ∠B?

• 270 degrees

• 45 degrees

• 90 degrees

• 135 degrees

Tags

CCSS.HSG.CO.C.11

​ Part of a roof is shaped like a parallelogram, as shown below. 

c) What is the length  of side AD?

• 28 ft

• 45 ft

• 15ft

• 90 ft

Tags

CCSS.HSG.CO.C.11