Properties on Trapezoid and Kites

It is a quadrilateral with exactly one pair of parallel sides.

What is the value of x?

Answer explanation

Midline = 1/2 (Bases)

x = 1/2 (9+16)

x=1/2 (25)

x= 12.5 or 25/2

Find the area of kite ABCD.

Answer explanation

Area of kite = 1/2 (diagonals)

Area = 1/2 (d₁)(d₂)

Area = 1/2 (12)(7)

Area = 1/2 (84)

Area = 42

What is the area of kite MPON?

What do you called the parallel sides of the trapezoid?

• Base

• Legs

• Base Angle

• Diagonals

Which of the following is true about the base angles of an isosceles trapezoid?

• Congruent

• Parallel

• Perpendicular

• Similar

Given isosceles trapezoid ABCD.

If m∠A=70°, what is m∠B?

• 30°

• 70°

• 90°

• 120°

What is the value of y?

• y = 32

• y = 54

• y = 92

• y= 94

Answer explanation

Base angle of isosceles trapezoid are congruent.

∠D≅∠C

116 = 2(y+4)

116= 2y+8

116-8=2y

108=2y

y=54

What is the value of ∠1 ?

Answer explanation

Diagonals of kite are perpendicular.