Geometry 6.2 Kites and Trapezoids

Do now pt. 1

• If one song played every time you walked into a room for the rest of your life, what song would you choose?

Do now pt. 2

• What is the angle measure of each interior angle for the provided shape?

6-1: Kites and Trapezoids

The Kite:

• A kite is a quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent.

• From the provided figure, what sets of line segments are congruent?

• Do we notice anything about the diagonals of the kite?

Multiple Choice

GLOT is a kite.  
$$x=?$$  

• 4

• 2

• 5.5

• 3

Multiple Choice

What is x?

• 35
• 45
• 55
• 90

Multiple Choice

Which of the following statements is false?

• BD and AC are perpendicular
• BD and AC are congruent
• ∠A and ∠C  are congruent
• BD bisects AC

The Trapezoid:

• Definition: A quadrilateral with exactly one pair of parallel sides.

The Isosceles Trapezoid:

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 length of each cross support?

• 4

• 19

• 14

• 20

• Theorem 6-6: In a trapezoid, the segment containing the midpoints of the two legs is parallel to the bases, and its length is half the sum of the lengths of bases.

The Trapezoid Midsegment Theorem

Fill in the Blanks

What is the length of DG?