Pentagon TRUCK is similar to pentagon PLANE. Determine which sequence of transformations maps pentagon TRUCK onto pentagon PLANE.

Answer 1

To determine the sequence of transformations that maps pentagon TRUCK onto pentagon PLANE, we usually need specific information about the positions, orientations, and sizes of the two pentagons. Generally, the possible transformations include translations (shifting), rotations (turning), reflections (flipping), and dilations (resizing).

1. Translation: If the shapes are congruent (same size and shape) and just positioned differently, a translation can be used to move TRUCK to the position of PLANE.

2. Rotation: If TRUCK is oriented differently but is the same size and shape as PLANE, you would rotate TRUCK around a point until it aligns with PLANE.

3. Reflection: If TRUCK can be flipped over a line in order to align with PLANE, then a reflection can be the required transformation.

4. Dilation: If TRUCK is a different size but can be made to resemble PLANE through resizing, which alters the size but keeps the shape and proportions.

Without specific coordinates or a diagram of either pentagon, it is impossible to determine the exact sequence. However, you would follow these steps:

• Compare the angles and lengths of corresponding sides of the two pentagons.
• Check if the shapes are congruent.
• If they are the same shape and size, identify if one pentagon can be translated, rotated, or reflected to overlay the other.
• If the shapes are similar (but not congruent), see if a dilation is needed.

If you provide additional details or a visual representation of the pentagons, I could assist you further in identifying the exact transformations needed.