Question

for items 2 and 3, use the coordinate plane to answer each question. 2. which triangle on the coordinate plane is similar to △a? 3. use △a and the similar triangle selected in item 2. describe the sequence of transformations that maps △a to its similar triangle.

Explanation:

Step1: Identify similar - triangles

By observing the orientation and shape of the triangles on the coordinate - plane, we can see that triangle B is similar to triangle A.

Step2: Analyze transformation

To map triangle A to triangle B, first, we need a rotation. Rotate triangle A 180° about the origin. The rule for a 180° rotation about the origin is \((x,y)\to(-x,-y)\). After rotation, we may need a translation. Translate the rotated triangle to match the position of triangle B.

Answer:

1. Triangle B is similar to triangle A.
2. First, rotate triangle A 180° about the origin, then translate the rotated triangle to get triangle B.