Question

chantel graphs △s and △t. the corresponding angles are congruent. the side lengths of △t are 5 times as long as the corresponding side lengths of △s. can you give a sequence of transformations that will map △s onto △t? explain.

Explanation:

Step1: Identify the transformation type

Since the corresponding angles are congruent and side - lengths of $\triangle T$ are 5 times as long as $\triangle S$, we need a dilation.

Step2: Determine the center of dilation

We can choose any point as the center of dilation. Let's assume the origin for simplicity. The scale factor of the dilation is 5.

Step3: Check orientation

If the orientation of the two triangles is the same, no rotation or reflection is needed. If the orientation is different, we may need a rotation or a reflection. But since no information about orientation is given, we assume no rotation or reflection is required. So the main transformation is a dilation with a scale factor of 5.

Answer:

A dilation with a scale factor of 5 centered at a chosen point (e.g., the origin) will map $\triangle S$ onto $\triangle T$.