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Geometry 6.6 Properties of Kites and Trapezoids
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Learning Targets Students should be able to… – Use properties of kites to solve problems. – Use properties of trapezoids to solve problems.
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Warm-up
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Warm-up Day 2
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Homework Check
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Vocabulary for Trapezoids and Kites
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Vocabulary Term NameDiagramAdditional Notes KiteKite ABCD-A quadrilateral with exactly 2 pairs of congruent consecutive sides A B C D
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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
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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
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Vocabulary TermNameDiagramAdditional Notes Leg of a trapezoidThe non parallel sides A B C D
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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
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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
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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
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TRAPEZOIDS
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6.6 Notes
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Isosceles Trapezoid
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What do we know about Trapezoids?
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Practice Problems
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Midsegment Trapezoid
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Midsegment Practice
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Finding the Side Length Given the Midsegment
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Kites
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6.6 Day 2 Notes Kite – a quadrilateral with exactly two pairs of congruent consecutive sides.
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Properties of Kites Theorem 6-6-1 If a quadrilateral is a kite, then its diagonals are perpendicular.
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Properties of Kites Theorem 6-6-2 If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent.
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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
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Practicing the Pythagorean Theorem
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Applying the Pythagorean Theorem to Kites
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H
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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
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Quadratic Summary Sheet Time Kite 1. Two pairs of consecutive congruent sides 2. Diagonals are perpendicular 3. One pair of opposite angles are congruent
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Venn Diagram Trapezoids and Kites would be outside the box!!
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Tree Diagram Can you fill in the Tree Diagram?? parallelogram rectangle rhombus square trapezoid Isosceles trapezoid kite
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Kite Practice Problems
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Trapezoid Review
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Homework Time This homework will cover all of 6.6 (trapezoids and kites) Page 423 # 4 – 12, 14 – 18
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