Chapter 11.6, Problem 3GP

To determine

The transformations which could be used if the top, red trapezoid is the pre image and the bottom, blue trapezoid is the image.

Answer to Problem 3GP

A rotation of ${180}^{\circ }$ about the center of the logo.

Explanation of Solution

Given information: The Boyd Box Company uses the logo shown below.

  

Top, red trapezoid is the pre image and the bottom, blue trapezoid is the image.

Step 1: Start with the pre image. Determine which transformation will change the orientation of the top, red trapezoid.

Step 2: Rotation or reflection change orientation. Rotate the top, red trapezoid ${180}^{\circ }$ about the center of the logo.

So, The Boyd Box Company could have used a rotation to create the logo. The trapezoid are congruent because images produced by rotation have the same shape and size.

Check: Trace the top, red trapezoid with tracing paper. Rotate the trapezoid ${180}^{\circ }$ about the center of the logo. The trapezoids are the same shape and size. They are congruent.