Question

write a rule to describe each transformation.
5)
6)
7)
8)

Explanation:

Step1: Analyze transformation in 5

Observe the position change of vertices. The pre - image is translated 3 units up and 2 units left. The rule for translation is $(x,y)\to(x - 2,y + 3)$.

Step2: Analyze transformation in 6

The figure is rotated 180° about the origin. The rule for a 180° rotation about the origin is $(x,y)\to(-x,-y)$.

Step3: Analyze transformation in 7

The figure is reflected over the x - axis. The rule for reflection over the x - axis is $(x,y)\to(x,-y)$.

Step4: Analyze transformation in 8

The figure is translated 4 units right and 2 units down. The rule for translation is $(x,y)\to(x + 4,y - 2)$.

Answer:

1. $(x,y)\to(x - 2,y + 3)$
2. $(x,y)\to(-x,-y)$
3. $(x,y)\to(x,-y)$
4. $(x,y)\to(x + 4,y - 2)$