Question

a single rigid transformation is applied to trapezoid qrst to create trapezoid qrst
complete the statements to des on and the trapezoids.
the transformation applied is a
reflection.
rotation.
translation.
trapezoid qrst congruent to trapezoid qrst.

Explanation:

Step1: Analyze Rigid Transformations

Rigid transformations (reflection, rotation, translation) preserve shape and size, so the image is congruent to the pre - image. For the first blank, we look at the orientation of the trapezoids. A reflection flips the figure over a line, a rotation turns it around a point, and a translation slides it. From the diagram, the transformation that maps QRST to Q'R'S'T' is a reflection (as the orientation is flipped).

Step2: Determine Congruence

Since rigid transformations preserve congruence (they don't change the side lengths or angle measures), trapezoid Q'R'S'T' is congruent to trapezoid QRST. So the second blank should be "is".

Answer:

The transformation applied is a reflection. Trapezoid Q'R'S'T' is congruent to trapezoid QRST.