Question

The first hexagon has all equal side lengths and angles. Sides A, F, and C, D of the second hexagon have been elongated and are congruent to each other. All other sides in hexagon 2 are the same length as the sides in hexagon 1. How can the transformation shown be described? (Check all that apply) a. Dilation b. Isometric transformation c. Nonrigid transformation d. Reflection e. Rotation f. Stretch

Answer 1

The transformation shown can be described as a dilation, a nonrigid transformation, and a stretch.

Step-by-step explanation:

The transformation shown can be described as a dilation, a nonrigid transformation, and a stretch.

A dilation is a transformation that changes the size of a shape, but not its shape or orientation. In this case, the sides A, F, and C, D of the second hexagon have been elongated, making them larger than the corresponding sides in the first hexagon. This change in size makes it a dilation.

A nonrigid transformation is a transformation that changes the shape of a shape. In this case, the elongated sides of the second hexagon create a new shape, which is different from the first hexagon. Therefore, it is a nonrigid transformation.

A stretch is a type of dilation where the shape is stretched or compressed along a certain direction. In this case, the elongated sides of the second hexagon are stretched in comparison to the sides of the first hexagon, making it a stretch.

Answer 2

The transformation of elongating specific sides of the second hexagon is a nonrigid transformation known as a stretch, since the shape's dimensions are altered but not all distances and angles are preserved.

Step-by-step explanation:

The transformation described where sides A, F, and C, D of the second hexagon have been elongated and are congruent to each other, with all other sides being the same length as in the first hexagon could be referred to as a stretch. This transformation alters the dimensions of the object without preserving all distances and angles, hence it cannot be a isometric transformation, which preserves these qualities. Therefore, it is considered a nonrigid transformation. This does not fit the descriptions for dilation (uniform scaling), reflection (flipping over a line), rotation (turning around a center point without altering the shape or size), or isometric transformation (preserve distances and angles).