#11 Parallelogram Properties Practice (Due 2-24-22)

Last updated 12 months ago

25 questions

Note from the author:

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.

Instructions

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.

Required

Create a visual representation of this theorem:

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

Required

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

y=_______ 
∠B=_______ 
∠C=_______ 

Required

Create a visual representation of this theorem:

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

Required

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

x=_______ 
B̅C̅=_______ 

Required

Create a visual representation of this theorem:

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

Required

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

n=_______ 
∠P=_______ 
∠Q=_______ 

Required

Create a visual representation of this theorem:

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

Required

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

x=_______ 
y=_______ 
T̅S̅=_______ 
TP=_______ 

Unit 6 Review

Required

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

Draggable item		Corresponding Item
Two angles across from each other on intersecting lines. They are always congruent!		Vertical angles
Any two angles whose sum is 180°		Supplementary angles
Two angles that are adjacent and supplementary. They form astraight line!		Complementary angles
Two angles that are next to each other and share a common side.		Linear pairs
Any two angles whose sum is 90°		Adjacent Angles

Required

Draw an example of supplimentary angles.

Required

Draw an example of complimentary angles.

Required

Select all the adjacent angles to ∠5

Select all the congruent angles to ∠1

Select all the supplement angles to ∠4

Select the alternate interior angle to ∠4

Select the c angle to ∠5

Required

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

x=_______ 
m∠SQR =_______ 
m∠TQP =_______ 

Required

Label the remote interior angles of the triangle.

Required

Solve for x. Then find the measure of each angle.
x= _______ °
∠4= _______ °

Solve for z.

z=_______ 

Find the measures.

m∠ACB=_______ °

m∠CAB=_______ °

m∠ABC=_______ °

Required

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

_______ < _______ < _______

Required

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

#11 Parallelogram Properties Practice (Due 2-24-22)

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.

Create a visual representation of this theorem:If a quadrilateral is a parallelogram then its opposite angles are congruent.

Create a visual representation of this theorem:If a quadrilateral is a parallelogram then its opposite sides are congruent.

Create a visual representation of this theorem:If a quadrilateral is a parallelogram then its adjacent angles are supplementary.

Create a visual representation of this theorem:If a quadrilateral is a parallelogram then its diagonals bisect each other.

Unit 6 Review

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

Draw an example of supplimentary angles.

Draw an example of complimentary angles.

Select all the adjacent angles to ∠5

Select all the congruent angles to ∠1

Select all the supplement angles to ∠4

Select the alternate interior angle to ∠4

Select the c angle to ∠5

Label the remote interior angles of the triangle.

_______ < _______ < _______

Create a visual representation of this theorem:

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

Create a visual representation of this theorem:

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

Create a visual representation of this theorem:

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

Create a visual representation of this theorem:

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

___ < _ < _____