Question

1. the boyd box company uses the logo shown. what transformations could be used if the red trapezoid is the pre - image and the blue trapezoid is the image? are the two figures congruent? explain. (example 3)

Explanation:

Step1: Analyze transformation type

A reflection over a vertical line (mid - way between the red and blue trapezoids) can be used to map the red trapezoid (pre - image) to the blue trapezoid (image).

Step2: Determine congruence

Two figures are congruent if they have the same shape and size. Since a reflection is a rigid transformation (it preserves shape and size), the red and blue trapezoids are congruent.

Answer:

A reflection can be used. The two figures are congruent because a reflection is a rigid transformation that preserves shape and size.