Understanding Isosceles Trapezoids

What is the sum of opposite angles in an isosceles trapezoid?

• 90°

• 180°

• 360°

• 270°

In Example 1, what is the value of x when the angle is represented by 14x + 11 and the opposite angle is 85°?

• 8

• 7

• 6

• 5

What property of diagonals is used in Example 2 to solve for x?

• Diagonals are perpendicular

• Diagonals bisect each other

• Diagonals are parallel

• Diagonals are congruent

In Example 2, if DF = 15 and EG = 3x - 21, what is the value of x?

• 12

• 11

• 13

• 10

In Example 3, if JL = 2x + 4 and KM = 4x - 8, what is the length of JL when x is found?

• 14 units

• 15 units

• 17 units

• 16 units

What is the value of x in Example 3 when JL = 2x + 4 and KM = 4x - 8?

• 5

• 6

• 7

• 8

In Example 4, if UW = 3x + 11 and TV = 8x - 9, what is the value of x?

• 4

• 3

• 6

• 5

What is the length of UW in Example 4 when x is found?

• 21 units

• 22 units

• 24 units

• 23 units

Which property of isosceles trapezoids is used to determine that UW = TV in Example 4?

• Diagonals are parallel

• Diagonals bisect each other

• Diagonals are congruent

• Diagonals are perpendicular

In Example 4, what is the length of TV when x is found?

• 23 units

• 24 units

• 22 units

• 21 units