Geometry 6.6

Properties of Kites and Trapezoids

Learning Targets

• Students should be able to…

– Use properties of kites to solve problems.

– Use properties of trapezoids to solve problems.

Warm-up

Warm-up Day 2

Homework Check

Homework Check

Homework Check

Vocabulary for Trapezoids and

Kites

VocabularyTerm Name Diagram Additional Notes

Kite Kite ABCD - A quadrilateral with exactly 2 pairs of congruent consecutive sides

A

B

C

D

VocabularyTerm Name Diagram Additional Notes

Kite Kite ABCD - A quadrilateral with exactly 2 pairs of congruent consecutive sides

Trapezoid Trapezoid ABCD - A quadrilateral with exactly one pair of parallel sides

A

B

C

D

A

B C

D

VocabularyTerm Name Diagram Additional Notes

Kite Kite ABCD - A quadrilateral with exactly 2 pairs of congruent consecutive sides

Trapezoid Trapezoid ABCD - A quadrilateral with exactly one pair of parallel sides

Base of a Trapezoid are the base Above picture Each of the parallel sides are the bases

A

B

C

D

A

B C

D

VocabularyTerm Name Diagram Additional Notes

Leg of a trapezoid are the leg The non parallel sides

A

B C

D

VocabularyTerm Name Diagram Additional Notes

Leg of a trapezoid are the leg The non parallel sides

Base angle of a trapezoid

Above picture Two consecutive angles whose common side is a base

A

B C

D

VocabularyTerm Name Diagram Additional Notes

Leg of a trapezoid are the leg The non parallel sides

Base angle of a trapezoid

Above picture Two consecutive angles whose common side is a base

Isosceles trapezoid then isosceles trapezoid

A trapezoids whose legs are congruent

A

B C

D

A

B C

D

VocabularyTerm Name Diagram Additional Notes

Leg of a trapezoid are the leg The non parallel sides

Base angle of a trapezoid

Above picture Two consecutive angles whose common side is a base

Isosceles trapezoid then isosceles trapezoid

A trapezoids whose legs are congruent

Midsegment of a trapezoid

X is the midpoint of Y is the midpoint of

The segment whose endpoints are the midpoints of the legs.

A

B C

D

A

B C

D

A

B C

DX Y

TRAPEZOIDS

6.6 Notes

Isosceles Trapezoid

What do we know about Trapezoids?

What do we know about Trapezoids?

What do we know about Trapezoids?

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Midsegment Trapezoid

Midsegment Practice

Midsegment Practice

Finding the Side Length Given the Midsegment

Finding the Side Length Given the Midsegment

Finding the Side Length Given the Midsegment

Kites

6.6 Day 2 Notes

• Kite – a quadrilateral with exactly two pairs of congruent consecutive sides.

Properties of Kites

• Theorem 6-6-1• If a quadrilateral is a kite, then its diagonals

are perpendicular.

Properties of Kites

• Theorem 6-6-2• If a quadrilateral is a kite, then exactly one pair

of opposite angles are congruent.

Pythagorean Theorem

a and b are always the sides touching the right angle!

a and b are called the legs

c is always the side opposite the right angle!

c is called the hypotenuse

Practicing the Pythagorean Theorem

Practicing the Pythagorean Theorem

Applying the Pythagorean Theorem to Kites

Applying the Pythagorean Theorem to Kites

H

Quadratic Summary Sheet Time

Trapezoids

1. One pair of parallel sides 2. If isosceles, base angles are congruent 3. If isosceles, diagonals are congruent

Quadratic Summary Sheet Time

Kite

1. Two pairs of consecutive congruent sides 2. Diagonals are perpendicular 3. One pair of opposite angles are congruent

Venn Diagram

Trapezoids and Kites would be outside the box!!

Tree Diagram

• Can you fill in the Tree Diagram??

parallelogram

rectangle rhombus

square

trapezoid

Isosceles trapezoid

kite

Kite Practice Problems

Kite Practice Problems

Trapezoid Review

Trapezoid Review

Trapezoid Review

• Homework Time

• This homework will cover all of 6.6 (trapezoids and kites)

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