7-6 Quadrilaterals

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Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Warm UpThe lengths of three sides of a triangle are given. Classify the triangle.

1. 12, 12, 12

2. 18, 10, 14

3. 15, 15, 26

4. 23, 36, 16

equilateral

scalene

isosceles

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7-6 Quadrilaterals

scalene

Problem of the Day

How many different rectangles are in the figure.

10; if the rectangles are marked 1-5 clockwise from upper left, they are 1; 2; 3; 4; 5; 1-2; 3-4; 4-5; 3-5; 1-2-3-4-5.

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7-6 Quadrilaterals

Learn to identify, classify, and compare quadrilaterals.

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7-6 Quadrilaterals

Vocabulary

quadrilateralparallelogramrectanglerhombussquaretrapezoid

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7-6 Quadrilaterals

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7-6 Quadrilaterals

A quadrilateral is a plane figure with four sides and four angles.

Five special types of quadrilaterals and their properties will be shown in this lesson. The same mark on two or more sides of a figure indicates that the sides are congruent.

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7-6 Quadrilaterals

Parallelogram

Opposite sides are parallel and congruent. Opposite angles are congruent.

RectangleParallelogram with four right angles.

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7-6 Quadrilaterals

Rhombus Parallelogram with four congruent sides.

SquareRectangle with four congruent sides.

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7-6 Quadrilaterals

TrapezoidQuadrilateral with exactly two parallel sides. May have two right angles.

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7-6 Quadrilaterals

Additional Example 1A: Naming Quadrilaterals

Give the most descriptive name for each figure.

The figure is a quadrilateral and a trapezoid.

Trapezoid is the most descriptive name.

A.

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7-6 Quadrilaterals

Additional Example 1B: Naming Quadrilaterals

Give the most descriptive name for each figure.

B.

The figure is a quadrilateral, a parallelogram, and a rectangle.

Rectangle is the most descriptive name.

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7-6 Quadrilaterals

Additional Example 1C: Naming Quadrilaterals

Give the most descriptive name for each figure.

C.The figure is a plane figure with three congruent sides.

Equilateral triangle is the most descriptive name.

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7-6 Quadrilaterals

Additional Example 1D: Naming Quadrilaterals

Give the most descriptive name for each figure.

D.The figure is a quadrilateral, parallelogram, and rhombus.

Rhombus is the most descriptive name.

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7-6 Quadrilaterals

Try This: Additional Example 1A

Give the most descriptive name for each figure.

A.The figure is a quadrilateral and a trapezoid.

Trapezoid is the most descriptive name.

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7-6 Quadrilaterals

Try This: Additional Example 1B

Give the most descriptive name for each figure.

B.

The figure is a quadrilateral.

Parallelogram is the most descriptive name.

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7-6 Quadrilaterals

Try This: Additional Example 1C

Give the most descriptive name for each figure.

C.The figure is a plane figure, but it has more than 4 sides.

This figure is not a quadrilateral. It is a hexagon.

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7-6 Quadrilaterals

Try This: Additional Example 1D

Give the most descriptive name for each figure.

D.The figure is a quadrilateral and a parallelogram.

Parallelogram is the most descriptive name.

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7-6 Quadrilaterals

You can draw a diagram to classify quadrilaterals based on their properties.

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7-6 Quadrilaterals

Additional Example 2A & 2B: Classifying Quadrilaterals

Complete each statement.

A. A rectangle can also be called a ________.

B. A parallelogram cannot be a __________.

A rectangle has opposite sides that are parallel; it can be called a parallelogram.

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A parallelogram has opposite sides that are parallel; it cannot be called a trapezoid.

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7-6 Quadrilaterals

Try This: Example 2A & 2B

Complete each statement.

A. A rhombus with four right angles is a ________.

B. A trapezoid has exactly _______ parallel sides, and may have _____ right angles.

A rhombus has four congruent sides, and the opposite sides are parallel. If it has four right angles, then it is a square.

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A trapezoid is a quadrilateral with exactly two parallel sides and it may have two right angles.

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Lesson QuizComplete each statement.

1. A quadrilateral with four right angles is a

_________.

2. A parallelogram with four right angles and four

congruent sides is a _______.

3. A figure with 4 sides and 4 angles is a ______.

4. Give the most descriptive name for this

quadrilateral.

square

square or rectangle

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quadrilateral

trapezoid

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7-6 Quadrilaterals

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