Question

nolan drew a pre - image of a trapezoid using a dashed line. which shows an isometric transformation of his pre - image?

Explanation:

Step1: Recall Isometric Transformation

Isometric transformations (rigid motions) preserve the shape and size of the figure. So the transformed trapezoid should have the same dimensions (side lengths, angles) as the pre - image (dashed trapezoid).

Step2: Analyze Each Option

• First option: The shaded trapezoid is smaller in size compared to the dashed pre - image. So it is not an isometric transformation.
• Second option: The shaded trapezoid appears to have the same shape and size as the dashed pre - image. We check the side lengths and angles (visually, the proportions and the angle of the non - parallel sides seem to match).
• Third option: The shaded trapezoid has a different shape (the non - parallel sides seem to have a different slope or length) compared to the dashed pre - image.
• Fourth option: The shaded trapezoid is smaller in size compared to the dashed pre - image. So it is not an isometric transformation.

Answer:

The Middle Graph (the second figure from the top)