Lesson 6-2: Kites and Trapezoids

Lesson 6-2: Kites and Trapezoids

March 24th

Multiple Select

Manuel draws a diagram of kite PQRS with 𝘘𝘚

as the line of symmetry over a design of a kite-shaped key fob. He makes a list of conclusions based on the diagram.

Which of Manuel’s conclusions do you agree with?

• PR is perpendicular to QS

• QP is congruent to QR

• PR bisects QS

• Triangle PQR is an equilateral triangle

• Triangle PSR is an isosceles triangle

How are the diagonals of a kite related? (notes)

• A kite has two pairs of congruent adjacent sides.

• Point B is equidistant from the endpoints of 𝘈𝘊, as is D, so they lie on the perpendicular bisector of 𝘈𝘊.

• The diagonals of a kite are perpendicular to each other. Exactly one diagonal bisects the other.

Open Ended

The measure of ∠AXB is_______.

Open Ended

If 𝘈𝘟=𝟥.𝟪, what is AC?

Open Ended

If 𝘉𝘋=𝟣𝟢, does 𝘉𝘟=𝟧?

Explain.

Open Ended

Quadrilateral PQRS is a kite with diagonals 𝙌𝙎 and 𝙋𝙍

What is 𝙢∠𝟮?

Multiple Choice

Quadrilateral WXYZ is a kite.

What is 𝘮∠𝟣?

• 32

• 90

• 58

• 180

Poll

Select your comfort level. [0: do not understand, 5: I can teach this to someone else]

• 1

• 2

• 3

• 4

• 5

Explore Parts of an Isosceles Trapezoid

• Two opposite sides (the bases) are parallel

• the two other sides (the legs) are of equal length

• The diagonals are also of equal length

😊(notes)

Multiple Select

Select all true statements.

• ∠Q= 45

• ∠S= 45

• ∠Q= 135

• ∠P= 45

• ∠P= 135

Multiple Choice

One cross support in the center of the tower measures 𝟰𝙘+𝟯, and the other measures 𝟲𝙘−𝟱.

What is the first step to find the length of each cross support?

• 4c+3=6c-5

• (4c+3) + (6c-5) = 180

• leave it alone

Multiple Choice

One cross support in the center of the tower measures 𝟰𝙘+𝟯, and the other measures 𝟲𝙘−𝟱.

What is the length of each cross support?

• 4

• 19

• 14

• 20

Poll

Select your comfort level. [Red= do not understand, green= I can teach this to someone else]

Open Ended

EXIT TICKET

2 things you learned from this lesson

1 question that you have about this lesson

Multiple Choice

HOMEWORK #1: Which of the following statements is false?

• all four angles are congruent

• the legs are congruent

• the diagonals are congruent

• the base angles are congruent

Multiple Choice

HOMEWORK #2: Find the missing angle.

• 65

• 115

• 180

• None of these

Multiple Choice

HOMEWORK #3: Find the value of x and y in the kite

• x=55 y=35

• x=35 y=55

• x=145 y=35

• x=75 y=35

Multiple Choice

HOMEWORK #4: Solve for Angle 1 and Angle 2.

• 1= 92, 2 = 46 degrees

• 1 = 118, 2 = 118 degrees

• 1 = 92, 2 = 92

• 1 = 136, 2 = 100

Multiple Choice

HOMEWORK #5: Find the value of x.

• 7

• 8

• 85

• None of these