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

Vocabulary for Trapezoids and Kites

Vocabulary Term NameDiagramAdditional Notes KiteKite ABCD-A quadrilateral with exactly 2 pairs of congruent consecutive sides A B C D

Vocabulary Term NameDiagramAdditional Notes KiteKite ABCD-A quadrilateral with exactly 2 pairs of congruent consecutive sides Trapezoid- A quadrilateral with exactly one pair of parallel sides A B C D A B C D

Vocabulary Term NameDiagramAdditional Notes KiteKite ABCD-A quadrilateral with exactly 2 pairs of congruent consecutive sides Trapezoid- A quadrilateral with exactly one pair of parallel sides Base of a TrapezoidAbove pictureEach of the parallel sides are the bases A B C D A B C D

Vocabulary TermNameDiagramAdditional Notes Leg of a trapezoidThe non parallel sides A B C D

Vocabulary TermNameDiagramAdditional Notes Leg of a trapezoidThe non parallel sides Base angle of a trapezoid Above pictureTwo consecutive angles whose common side is a base A B C D

Vocabulary TermNameDiagramAdditional Notes Leg of a trapezoidThe non parallel sides Base angle of a trapezoid Above pictureTwo consecutive angles whose common side is a base Isosceles trapezoidA trapezoids whose legs are congruent A B C D A B C D

Vocabulary TermNameDiagramAdditional Notes Leg of a trapezoidThe non parallel sides Base angle of a trapezoid Above pictureTwo consecutive angles whose common side is a base Isosceles trapezoidA trapezoids whose legs are congruent Midsegment of a trapezoid The segment whose endpoints are the midpoints of the legs. A B C D A B C D A B C D X Y

TRAPEZOIDS

6.6 Notes

Isosceles Trapezoid

What do we know about Trapezoids?

Practice Problems

Midsegment Trapezoid

Midsegment Practice

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 If a quadrilateral is a kite, then its diagonals are perpendicular.

Properties of Kites Theorem 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

Applying the Pythagorean Theorem to Kites

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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

Trapezoid Review

Homework Time This homework will cover all of 6.6 (trapezoids and kites) Page 423 # 4 – 12, 14 – 18