## 1-7 Answers

To translate ABC [A (-5, 1), B (-2.5, 7), & C (0,1) using the rule (x

(x

Since the first number is a positive six, each point of the figure is moved six spaces right.

Since the second number is negative two, each point of the figure is moved two spots down.

When triangle ABC is translated using the rule (x

To find this using a graph, simply move the direction and plot the points.

To find this without using a graph, you can

**+**6, y-2), first understand how the rule works.(x

**+**6, y-2) corresponds to (x, y) and (right/left, up/down).Since the first number is a positive six, each point of the figure is moved six spaces right.

Since the second number is negative two, each point of the figure is moved two spots down.

When triangle ABC is translated using the rule (x

**+**6, y-2), the coordinates of the image will be (1, -1), (4.5, 5), & (6, -1).To find this using a graph, simply move the direction and plot the points.

To find this without using a graph, you can

**add six to all of the x-values**and**subtract two from all of the y-values**.To find the translation rule, pick one vertex and its image. We will use E & E'.

Vertex E is (1, 4) and its image is (-2, -2).

Vertex E moved left three spaces and then moved down 6 spaces. Using these numbers the rule is

It is x minus three because we moved left. If the image moved right, the 'x' rule will have addition.

It is y minus six because we moved down. If the image moved up, the 'y' rule will have addition.

Vertex E is (1, 4) and its image is (-2, -2).

Vertex E moved left three spaces and then moved down 6 spaces. Using these numbers the rule is

**(x-3, y-6).**It is x minus three because we moved left. If the image moved right, the 'x' rule will have addition.

It is y minus six because we moved down. If the image moved up, the 'y' rule will have addition.