Question

rotate figure t degrees counterclockwise around. then reflect the resulting image across segment (practice) describe a sequence of transformations that take isosceles trapezoid t to its image t.

Explanation:

Step1: Determine the rotation angle

Since \( \angle ADC = 90^{\circ}\), rotating figure \(T\) (quadrilateral \(ABCD\)) counter - clockwise around \(D\) by \(90^{\circ}\) will map \(AD\) to \(GD\) (because \(AD = GD\) as shown by the tick - marks).

Step2: Determine the reflection line

After a \(90^{\circ}\) counter - clockwise rotation around \(D\), the resulting figure (the rotated image of \(ABCD\)) needs to be reflected across \(DE\). Because when we rotate \(ABCD\) \(90^{\circ}\) counter - clockwise around \(D\), and then reflect across \(DE\), the side lengths ( \(AB = BC=EF = FG\), \(AD = DG\), \(CD = DE\)) and angle relationships (right - angle at \(D\)) will map \(ABCD\) to \(GFED\).

Answer:

Rotate Figure \(T\) \(90\) degrees counter - clockwise around \(D\). Then reflect the resulting image across segment \(DE\).