Kite Properties

Presentation

•

Mathematics

•

9th - 10th Grade

•

Hard

Joseph Anderson

FREE Resource

9 Slides • 9 Questions

Properties of Kites

December 10, 2020

Multiple Choice

Do Now:

Use the distance and slope formulas to prove that the following parallelogram is a square.

A(2,6) B(7,6) C(7,1) D(2,1)

What’s the distance? What are the slopes?

Distance: $\sqrt{50}$
Slopes: $1$ and $-1$

Distance: $25$
Slopes: $-\frac{1}{2}$ and $2$

Distance: $\sqrt{10}$
Slopes: $\frac{4}{5}$ and $-\frac{5}{4}$

Objective: I can use properties of kites to solve mathematical problems.
Essential Question: How can I show that a quadrilateral is a kite? What classifies a kite?

Agenda

Do Now
Recap
Exploration
Notes + Practice
Asynchronous

Exploration

In today’s folder, use the applet in order to construct a kite.

What do you notice about the kite’s side and angles? (You can use the sample images).

Let us know in the chat.

Properties of Kites

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

AC $\perp$ BD

Notice*

Kites have exactly two pairs of consecutive congruent sides.

AB $\cong$ AD

\cong

Properties of Kites

If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent.

$\angle$ B $\cong$ $\angle$ D

Multiple Choice

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

Diagonals

Consecutive Sides

Angles

Multiple Choice

If a quadrilateral is a kite, then it has exactly one pair of congruent opposite __________

Diagonals

Sides

Angles

Multiple Choice

A kite is a quadrilateral with exactly two pairs of consecutive congruent _________.

Diagonals

Sides

Angles

Fill in the Blanks

Type answer...

Fill in the Blanks

Type answer...

Fill in the Blanks

Type answer...

Whiteboard Example

Desmos Practice: 10-15 minutes

Class Codes:

M8UDQJ (A3)

N57C9G (A4)

Open Ended

Closure:

What are some differences or similarities between a kite and rhombus?

Type response here

Poll

After exploring kites, working on examples, and working independently, I feel confident using properties of kites to find missing angle and side measurements.

Properties of Kites

December 10, 2020

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