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Copy of #11 Parallelogram Properties Practice (Due 2-24-22) (7/21/2024)

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Unit 6 Review

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Essential Question: What can you conclude about the sides, angles, and diagonals of a parallelogram?

Learning Target: Students will be able to determine the angles, side lengths, and diagonal lengths of parallelograms.

Usse complete sentences when answering questions.

Complete the entire document and show all work for full credit.

Essential Question: What can you conclude about the sides, angles, and diagonals of a parallelogram?

Learning Target: Students will be able to determine the angles, side lengths, and diagonal lengths of parallelograms.

Usse complete sentences when answering questions.

Complete the entire document and show all work for full credit.

Pitanje 1
1.

Create a visual representation of this theorem:

If a quadrilateral is a parallelogram then its opposite angles are congruent.

Pitanje 2
2.

Use the properties of parallelograms to solve for the unknown values.

y=

∠B=

∠C=

Pitanje 3
3.

Create a visual representation of this theorem:

If a quadrilateral is a parallelogram then its opposite sides are congruent.

Pitanje 4
4.

Use the properties of parallelograms to solve for the unknown values.

x=

B̅C̅=

Pitanje 5
5.

Create a visual representation of this theorem:

If a quadrilateral is a parallelogram then its adjacent angles are supplementary.

Pitanje 6
6.

Use the properties of parallelograms to solve for the unknown values.

n=

∠P=

∠Q=

Pitanje 7
7.

Create a visual representation of this theorem:

If a quadrilateral is a parallelogram then its diagonals bisect each other.

Pitanje 8
8.

Use the properties of parallelograms to solve for the unknown values.

x=

y=

T̅S̅=

TP=

Pitanje 9
9.

Match the definition of the angle relationship with the angle relationships it describes...

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

Any two angles whose sum is 90°

arrow_right_alt

Vertical angles

Two angles that are

adjacent and supplementary.

They form astraight line!

arrow_right_alt

Supplementary angles

Two angles that are

next to each other and

share a common side.

arrow_right_alt

Complementary angles

Two angles across from each other on

intersecting lines. They are always congruent!

arrow_right_alt

Linear pairs

Any two angles whose sum is 180°

arrow_right_alt

Adjacent Angles

Pitanje 10
10.

Draw an example of supplimentary angles.

Pitanje 11
11.

Draw an example of complimentary angles.

Pitanje 12
12.

Select all the adjacent angles to ∠5

Pitanje 13
13.

Select all the congruent angles to ∠1

Pitanje 14
14.

Select all the supplement angles to ∠4

Pitanje 15
15.

Select the alternate interior angle to ∠4

Pitanje 16
16.

Select the c angle to ∠5

Pitanje 17
17.

If m∠PQT = (12x - 40)° and m∠SQR = (7x + 25)°, find the value of x.

x=

m∠SQR =

m∠TQP =

Pitanje 18
18.

Label the remote interior angles of the triangle.

Pitanje 19
19.

Solve for x. Then find the measure of each angle.

x= °

∠4= °

Pitanje 20
20.

Solve for z.

z=

Find the measures.

m∠ACB= °

m∠CAB= °

m∠ABC= °

Pitanje 21
21.

For each triangle, write the side lengths in order from least to greatest.

< <

Pitanje 22
22.

Find the range of possible values for x using the Triangle Sum Theorem from your page 5 notes.

<x<

Drugi mogući odgovor:
5
11
Pitanje 23
23.

Solve for x.

Find the measure of the indicated angle.

x=

m∠T=

m∠R=

Pitanje 24
24.

Solve for x.

Find the length of the indicated side.

x=

DE=

m∠E=

Pitanje 25
25.

Solve for x.

Find the length of the indicated side.

x=

OM=

m∠G=