Unit 8 - Day 7

Properties of a

Unit 8 - Day 7

KITE

Property 1

Property 1

Exactly two pairs of consecutive congruent sides.

Property 1

(shorter side)
(longer side)

Property 2

One pair of opposite angles are congruent.

Property 3

Diagonals are PERPENDICULAR.
It means that they intersect at exactly 90 degrees.

lET'S WORK ON NUMBER 1 & 2

with the following idea in mind.
Remember that the sum of interior angles of a quadrilateral (any) is 360⁰. It means that the sum of the interior angles is 360⁰.

Applying property 2

no. 1

<A = 85⁰
<B = ?
<C = 43⁰
<D = ?

by property 2,
We can say that <b and <D are congruent

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Multiple Choice

Property 2 states that a kite has one pair of congruent angles, which means which 2 angles are equal?

• <J & <K

• <J & <L

• <J & <M

• <K & <L

Fill in the Blanks

Drag and Drop

How to find <K?



The sum of interior angles of a quadrilateral is

Placeholder

, then the we must first get the ​

Placeholder

of the 3 angles: 82 + 82 + 71

which is equal to

Placeholder

,​

Then, once we have the sum, we must now ​

Placeholder

360 and the sum which is equal to ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

245 degrees

152 degrees

360 degrees

sum

235 degrees

subtract

125 degrees

divide

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Multiple Choice

How to find RX?

Looking at the given, we can solve it through the Pythagorean theorem. Which is the best solution based on the given? Identify carefully what exactly is RX; is it a LEG or a HYPOTENUSE?

• $$\sqrt[2]{14^2-8^2}$$

• $$\sqrt[2]{14^2+8^2}$$

Fill in the Blanks

Multiple Choice

How to find QS?

Again, we can solve it through the Pythagorean theorem. Which is the best solution based on the given? Identify carefully what exactly is QS; is it a LEG or a HYPOTENUSE?

• $$\sqrt[2]{10^2-9^2}$$

• $$\sqrt[2]{10^2+9^2}$$

Fill in the Blanks

Multiple Choice

How to find CD?

Again, we can solve it through the Pythagorean theorem. Which is the best solution based on the given? Identify carefully what exactly is CF; is it a LEG or a HYPOTENUSE?

• $$\sqrt[2]{23^2-15^2}$$

• $$\sqrt[2]{23^2+15^2}$$

Fill in the Blanks

Multiple Choice

How to solve for x?

By Property 2 of a Kite that one pair of angle is congruent. Which angles are congruent?

• <S and <T

• <S and <U

• <S and <V

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Multiple Choice

How to find <STV?

Where should you use the value of x you just computed?

• 9x + 1

• 23x - 7

Fill in the Blanks

Keep that notes, Mr. Martinada will collect it on Monday.

Don't forget the activities due today... I'll put in the grades over the weekend. Check google classroom!