Lecture 6.2 - Parallelograms

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•

Mathematics

•

6th - 12th Grade

•

Easy

Gabe Geering

Used 2+ times

FREE Resource

11 Slides • 30 Questions

6.2 - Parallelograms

like when your grandmothers are standing next to each other

Parallelogram

→ quadrilateral with both pairs of opposite sides parallel

that's all we know... anything else is a theorem (raise the proof)

Parallelogram Properties

Parallelogram Diagonal Properties

Multiple Choice

Find the measure of the angle indicated in the following parallelogram.

Multiple Choice

Find the measure of the angle indicated in the following parallelogram.

105

112

Multiple Choice

Find the measure of the angle indicated in the following parallelogram.

105

Multiple Choice

Find the measure of the angle indicated in the following parallelogram.

150

108

Multiple Choice

Find the measure of the side indicated in the following parallelogram.

Multiple Choice

Find the measure of the side indicated in the following parallelogram.

Multiple Choice

1=30 , 2=82, 3=50

1=32, 2=98 , 3=50

1=30 , 2=98 , 3=50

1=30 , 2=98 , 3=40

Multiple Choice

x = 9, y = 4

x = 6, y = 4

x = 6, y = 2

x = 4, y = 2

Fill in the Blanks

Given the points of parallelogram ABCD, find where the diagonals intersect.

A (2, 1)

B (5, 6)

C (8, 2)

D (11, 7)

Type answer...

Fill in the Blanks

Given 3 points of parallelogram ABCD, find point D.

A (-3, -2)

B (-1, 5)

C (4, 7)

Type answer...

Fill in the Blanks

Given 3 points of parallelogram ABCD, find point D.

A (-3, -2)

B (4, 7)

C (-1, 5)

Type answer...

Fill in the Blanks

Given 3 points of parallelogram ABCD, find point D.

A (4, 7)

B (-3, -2)

C (-1, 5)

Type answer...

6.3 - Tests for Parallelograms

Oh, it's a parallelogram? You think so? PROVE IT 😈

Conditions for Parallelograms

Kind of like when we proved lines parallel

Multiple Choice

Is there enough information to determine that this quadrilateral is a parallelogram?

yes, all opposite sides are congruent

yes, opposite angles are congruent

yes, opposite sides are parallel

yes, consecutive interior angles are supplementary

Multiple Choice

State which method we can use to show that the quadrilateral is a parallelogram.

Both pairs of opposite angles are congruent.

Both pairs of opposite sides are congruent.

Both pairs of diagonals bisect each other.

Both pairs of opposite sides are parallel.

Multiple Choice

Is there enough information to determine that this quadrilateral is a parallelogram?

yes, opposite sides are congruent

yes, opposite sides are parallel

no, not all pairs of opposite sides are congruent

no, it is not a quadrilateral

Multiple Choice

State which method we can use to show that the quadrilateral is a parallelogram.

Both pairs of opposite angles are congruent.

Both pairs of opposite sides are congruent.

The diagonals bisect each other.

Both pairs of opposite sides are parallel.

Multiple Choice

Polygon ABCD is a Quadrilateral which of the following pieces of information would prove that ABCD is a parallelogram?

DB=AC

DA=BC

DA||BC

DA||BC, DA=BC

Multiple Choice

Is the quadrilateral a parallelogram?

Yes; one pair of opposite sides are parallel

Yes; one pair of opposite sides are congruent

Yes; one pair of opposite sides are parallel and congruent

No; only one pair of sides are parallel

No; only one pair of sides are congruent

Multiple Choice

If you can prove that one pair of opposite sides of a parallelogram are the same length and have the same slope, you can prove that it is a parallelogram.

Always

Sometimes

Never

Multiple Choice

Which theorem shows that the quadrilateral is a parallelogram?

Parallelogram Diagonals Converse

Parallelogram Opposite Sides Converse

Parallelogram Opposite Angles Converse

Opposite Sides Parallel and Congruent Theorem

Multiple Choice

Which theorem shows that the quadrilateral is a parallelogram?

Parallelogram Diagonals Converse

Parallelogram Opposite Sides Converse

Parallelogram Opposite Angles Converse

Opposite Sides Parallel and Congruent Theorem

Multiple Choice

Which theorem shows that the quadrilateral is a parallelogram?

Parallelogram Diagonals Converse

Parallelogram Opposite Sides Converse

Parallelogram Opposite Angles Converse

Opposite Sides Parallel and Congruent Theorem

Multiple Choice

Find the values of x and y that make the quadrilateral a parallelogram.

x = 3, y = 2

x = 25, y = 15

x = 15, y = 25

x = 113, y = 67

Multiple Choice

Find the values of x and y that make the quadrilateral a parallelogram.

x = 4, y = 3

x = 3, y = -2

x = 1, y = 4

x = 3, y = 4

Multiple Choice

Find the value of x that makes the quadrilateral a parallelogram.

x = -4

x = 1

x = 8

x = 34

Multiple Choice

Find the value of x that makes the quadrilateral a parallelogram.

x = 26

x = 7

x = 2

x = -2

Multiple Choice

Given the points for quadrilateral ABCD, determine if it is a paralleogram.

A (-2, -4)

B (2, -7)

C (8, 3)

D (4, 6)

yes

not enough information

maybe

Multiple Choice

Given the points for quadrilateral ABCD, determine if it is a paralleogram.

A (6, 7)

B (-2, 5)

C (-7, 8)

D (1, 11)

yes

not enough information

maybe

Fill in the Blanks

Given 2 points from parallelogram ABCD and the intersection point E of the diagonals, find point C.

A (-8, 2)

B (-3, -4)

E (-3, 3)

Type answer...

Fill in the Blanks

Given 2 points from parallelogram ABCD and the intersection point E of the diagonals, find point D.

A (-8, 2)

B (-3, -4)

E (-3, 3)

Type answer...

6.2 - Parallelograms

like when your grandmothers are standing next to each other

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