Question

for problems 1 - 3, identify the rigid motion that maps △abc onto its image.
1.
2.
3.

Explanation:

Step1: Analyze the first figure

In the first figure, the triangle \(ABC\) and \(A'B'C'\) have the same shape and size, and the position is just shifted. This is a translation.

Step2: Analyze the second figure

In the second figure, the triangle \(ABC\) is rotated around point \(B\) to get \(A'B'C'\). This is a rotation.

Step3: Analyze the third figure

In the third figure, the triangle \(ABC\) is reflected over a line (passing through \(B\) and \(B'\)) to get \(A'B'C'\). This is a reflection.

Answer:

1. Translation
2. Rotation
3. Reflection