Question

wxyz is a trapezoid with $overline{wx}congoverline{yz}$. what is the length of $overline{xy}$? 3 units 4 units 5 units 6 units

Explanation:

Step1: Use the property of isosceles trapezoid

Since \(WXYZ\) is an isosceles trapezoid (\(\overline{WX}\cong\overline{YZ}\)), then \(2a - 2=a + 1\).

Step2: Solve the equation for \(a\)

Subtract \(a\) from both sides: \(2a-a-2=a - a+ 1\), which gives \(a-2 = 1\).
Add \(2\) to both sides: \(a-2 + 2=1 + 2\), so \(a = 3\).

Step3: Find the length of \(\overline{XY}\)

Substitute \(a = 3\) into the expression for \(XY\) (\(3a-4\)).
\(XY=3a-4=3\times3 - 4\).
First, calculate \(3\times3=9\), then \(9-4 = 5\).

Answer:

5 units