Log in
Sign up for FREE
arrow_back
Library

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

star
star
star
star
star
Last updated 10 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.

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
10
Required
30
Required
10
Required
20
Required
10
Required
30
Required
10
Required
30
Required
10
Required
10
Required
10
Required
15
20
15
5
5
Required
30
Required
10
Required
10
20
Required
9
Required
10
Required
10
Required
10
Required
10
Question 1
1.

Create a visual representation of this theorem:

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

Question 2
2.
Use the properties of parallelograms to solve for the unknown values.

y=_______
∠B=_______
∠C=_______
Question 3
3.

Create a visual representation of this theorem:

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

Question 4
4.
Use the properties of parallelograms to solve for the unknown values.

x=_______
B̅C̅=_______
Question 5
5.

Create a visual representation of this theorem:

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

Question 6
6.
Use the properties of parallelograms to solve for the unknown values.

n=_______
∠P=_______
∠Q=_______
Question 7
7.

Create a visual representation of this theorem:

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

Question 8
8.
Use the properties of parallelograms to solve for the unknown values.

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

Unit 6 Review

Question 9
9.

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

Draggable itemarrow_right_altCorresponding Item
Two angles that are
next to each other and
share a common side.
arrow_right_alt
Vertical angles
Two angles that are
adjacent and supplementary.
They form astraight line!
arrow_right_alt
Supplementary angles
Any two angles whose sum is 180°
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 90°
arrow_right_alt
Adjacent Angles
Question 10
10.

Draw an example of supplimentary angles.

Question 11
11.

Draw an example of complimentary angles.

Question 12
12.

Select all the adjacent angles to ∠5

Question 13
13.

Select all the congruent angles to ∠1

Question 14
14.

Select all the supplement angles to ∠4

Question 15
15.

Select the alternate interior angle to ∠4

Question 16
16.

Select the c angle to ∠5

Question 17
17.
If m∠PQT = (12x - 40)° and m∠SQR = (7x + 25)°, find the value of x.

x=_______
m∠SQR =_______
m∠TQP =_______
Question 18
18.

Label the remote interior angles of the triangle.

Question 19
19.
Solve for x. Then find the measure of each angle.
x= _______ °
∠4= _______ °
Question 20
20.
Solve for z.

z=_______

Find the measures.

m∠ACB=_______ °

m∠CAB=_______ °

m∠ABC=_______ °
Question 21
21.
For each triangle, write the side lengths in order from least to greatest.


_______ < _______ < _______

Question 22
22.
Find the range of possible values for x using the Triangle Sum Theorem from your page 5 notes.
______ <x<_______
Other Answer Choices:
5
11
Question 23
23.
Solve for x.

Find the measure of the indicated angle.

x=_______
m∠T=_______
m∠R=_______
Question 24
24.
Solve for x.

Find the length of the indicated side.

x=_______
DE=_______
m∠E=_______
Question 25
25.
Solve for x.

Find the length of the indicated side.

x=_______
OM=_______
m∠G=_______