geometry 6.6 properties of kites and trapezoids. learning targets students should be able to… –...
TRANSCRIPT
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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