WXYZ is a trapezoid with WX ≅ YZ. Isosceles trapezoid W X Y Z is shown. Sides X Y and W Z are parallel. The length of X Y is 3 a minus 4 and the length of W Z is 3 a. Sides W X and Y Z are congruent. The length of W X is 2 a minus 2 and the length of Y Z is a + 1. What is the length of XY? 3 units 4 units 5 units 6 units

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Answer: 5 units

Step-by-step explanation:

Based on the definition of an isosceles trapezoid, the length of XY is: 5 units.

What is an Isosceles Trapezoid?

An isosceles trapezoid is a trapezoid that has two legs that are congruent.

Therefore:

2a - 2 = a + 1

Add like terms

2a - a = 2 + 1

a = 3

XY = 3a - 4

Plug in the value of x

XY = 3(3) - 4

XY = 5 units

Therefore, based on the definition of an isosceles trapezoid, the length of XY is: 5 units.

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