Kite Theorem

Kite LMNO is shown.
Solve for x.

• 90

• 180

• 60

• 75

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

Find the value of x and y on the kite.

• x=12 y=6

• x=6 y=12

• x=24 y=12

• x=12 y=24

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

If BCDE is a kite, CD = 21 and DF = 18, find CE. Round to one decimal place.

Mathematical Equivalence

ON

ABCD is a kite. Find the measures of angles B and C.

a

b

40

120

80

60

If BCDE is a kite, CD = 21 and DF = 18, find CE. Round to one decimal place.

Mathematical Equivalence

ON

Given kite CDEF, find m<D.

Mathematical Equivalence

ON

Answer explanation

A quadrilateral's interior angles add to 360. In a kite, one pair of angles are congruent. In this kite, <D is congruent to <F.

To solve:

add 95+ 115 = 210

subtract 360 - 210 = 150

divide 150 by 2 since angles D and F are the same size.

Find the value of y.

• 65

• 110

• 75

• None of these.

Tags

CCSS.HSG.CO.C.11

What is the Theorem of Kite?

• A quadrilateral with two pairs of adjacent congruent sides is a kite.

• A kite has two diagonals that are perpendicular to each other.

• A kite has two diagonals that bisect each other.

• A kite has two pairs of parallel sides.