Topic 6 Quadrilaterals

Presentation

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Mathematics

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10th Grade

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Practice Problem

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Easy

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CCSS

6.NS.B.3, HSG.CO.C.11, HSG.C.A.3

Standards-aligned

Monta Jeffley

Used 9+ times

FREE Resource

7 Slides • 6 Questions

Topic 6
Quadrilaterals

6-2 Parallelograms and Rectangles

A quadrilateral is a polygon (shape) that has 4 sides, 4 angles, and 4 vertices.

Quadrilaterals have specific names and properties which you will learn throughout this unit.

Quadrilaterals

Today we will focus on the properties of parallelograms and rectangles.

First, lets take a look at the properties of a parallelogram.

Multiple Choice

What do you notice about the opposite angles?

Angle A and Angle C?

They are congruent (the same)

They are supplementary (the sum equals 180)

They are complementary (the sum equals 90)

Multiple Choice

What do you notice about the consecutive angles (side by side) of a parallelogram?

Angle D and Angle C?

They are congruent (the same)

They are supplementary (the sum equals 180)

They are complementary (the sum equals 90)

Multiple Choice

What do you notice about the opposite sides?

SIDE AD and SIDE BC?

They are congruent (the same)

They are supplementary (the sum equals 180)

They are complementary (the sum equals 90)

Multiple Choice

Complete the sentence:

The diagonals of a parallelogram __________ each other.

Bisect (cut in half)

are perpendicular to (they intersect and make a right angle)

are congruent to (the same)

What you should have just learned is:

Opposite angles are congruent.
Consecutive angles are supplementary.
Opposite sides are congruent.
Diagonals bisect each other.
Opposite sides are parallel.

Properties of a Parallelogram

Finally, lets look at the properties of a rectangle.

Multiple Choice

Look at the picture of rectangle ABCD.

What do you notice about the angles?

All the angles are 90 degrees

All the angles are 180 degrees

All the angles are 45 degrees

Multiple Choice

Look at the picture of rectangle ABCD.

The diagonals are congruent

TRUE

FALSE

The properties of a rectangle are the same as the properties of a parallelogram, with these two added properties:

All angles are right angles (equal 90 degrees) .
Diagonals are congruent.

Properties of a Rectangle

Topic 6
Quadrilaterals

6-2 Parallelograms and Rectangles

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