Unit 8 - Day 3

Parallelogram

Unit 8 - Lesson 2

Definition of parallelogram

A quadrilateral in which both pairs of opposite sides are parallel.

Properties of parallelogram

• Opposite sides are congruent.

• Opposite angles are congruent.

• Consecutive (next to each other) angles are supplementary (180⁰).

• Diagonals bisect each other.

Multiple Choice

Which property can help us easily find AD if we know that BC is 8?

• Opposite sides are congruent.

• Opposite angles are congruent

• Consecutive (next to each other) angles are supplementary (180⁰).

• Diagonals bisect each other.

Multiple Choice

Which property can help us find DC if we know that AB is 15?

• Opposite sides are congruent.

• Opposite angles are congruent

• Consecutive (next to each other) angles are supplementary (180⁰).

• Diagonals bisect each other.

Multiple Choice

Which property can help us find m<A if we know that m<D is 68 degrees?

• Opposite sides are congruent.

• Opposite angles are congruent

• Consecutive (next to each other) angles are supplementary (180⁰).

• Diagonals bisect each other.

Multiple Choice

Which property can help us find m<B if we know that m<D is 68 degrees?

• Opposite sides are congruent.

• Opposite angles are congruent

• Consecutive (next to each other) angles are supplementary (180⁰).

• Diagonals bisect each other.

Multiple Choice

Which property can help us easily find m<C if we know that already measures of <A, <B and <D?

• Opposite sides are congruent.

• Opposite angles are congruent

• Consecutive (next to each other) angles are supplementary (180⁰).

• Diagonals bisect each other.

Drag and Drop

JK =​

Placeholder

KL = ​

Placeholder

m<J = ​

Placeholder

m<K = ​

Placeholder

m<M = ​ ​

Placeholder

Drag these tiles and drop them in the correct blank above

21

29

127

53

measure of angle K

Multiple Choice

How long is UT?

• 18

• 27

Multiple Choice

How long is ST?

• 18

• 27

Multiple Choice

How long is VS?

• 7

• 14

Multiple Choice

How long is VT if RT is 30?

• 30

• 15

• 10

• 5

Multiple Choice

Which property can help us find solve for x from the given?

• Opposite sides are congruent.

• Opposite angles are congruent

• Consecutive (next to each other) angles are supplementary (180⁰).

• Diagonals bisect each other.

Fill in the Blanks

If they are congruent, what equation should you put on Desmos?

Fill in the Blanks

What is the value of x?
Type your numerical answer only.

Multiple Choice

Which property can help us find solve for x from the given?

• Opposite sides are congruent.

• Opposite angles are congruent

• Consecutive (next to each other) angles are supplementary (180⁰).

• Diagonals bisect each other.

Fill in the Blanks

What is the value of x?
Type your numerical answer only.

Multiple Choice

Which property can help us find solve for x from the given?

• Opposite sides are congruent.

• Opposite angles are congruent

• Consecutive (next to each other) angles are supplementary (180⁰).

• Diagonals bisect each other.

Multiple Choice

Which equation would help us solve for x that describes the property?

• 4x+1 = 74

• 2(4x+1)=74

Fill in the Blanks

What is the value of x?
Type your numerical answer only.

Multiple Choice

Which property can help us find solve for x from the given?

• Opposite sides are congruent.

• Opposite angles are congruent

• Consecutive (next to each other) angles are supplementary (180⁰).

• Diagonals bisect each other.

Fill in the Blanks

What is the value of x?
Type your numerical answer only.

Your Turn

Do the remaining numbers 5, 6, 10, 12, & 14.

For 5 & 6

Just simply recall and apply the properties of parallelogram

For 10

First, identify what property apply between NS and SQ. Are they equal? Then use Desmos to find the value of x. After that, use x to find the measure of NQ.

For 12

First, identify what property apply between the given <Q and <R. Are they equal or supplementary? Then use Desmos to find the value of x. Then, identify which between <P and <Q is equal to <R. After that, use x to find the measure of <R.

For 14

First, identify what property apply between the given 6x+11 and 4x+6. Are they equal or supplementary or equal to m<115? Then use Desmos to find the value of x. After that, use x to find the measure of <ADB.

Don't forget to accomplish all Exit Pass from Day 1 - Day 3.
Submit your paper when done to Mr. Martinada for grading!