Question

1.The reflection image of figure 1 with respect to line m is

PLEASE HELP!!!

2.For which pair of figures is the second figure a translation image of the first:
Figures 4 and 2
Figures 1 and 3
Figures 1 and 4
Figures 2 and 1

Answer 1

1) The reflection image of figure 1 with respect to line m is figure 2.

2) The pair of figures for which the second figure a translation image of the first is: Figures 1 and 3

How to find the transformation?

There are different types of transformation such as:

Translation

Rotation

Reflection

Dilation

1) The reflection transformation is a mirror image of the original image.

Thus, the reflection image of figure 1 with respect to line m is figure 2.

2) The pair of figures for which the second figure a translation image of the first is:

Figures 1 and 3

Answer 2

1) The reflection image of figure 1 is figure 2

2) Figures 1 and 3

Explanation:

* Lets explain some transformation

- In the reflection the line of reflection will lie directly in the middle

between the original figure and its image

- Corresponding parts of the figures are the same distance from the

line of reflection

- Reflection does not change size or shape

- Translation moves a shape up, down or from left to right or right to

left but it does not change its shape

* Lets solve the problem

1)

- The reflection image of figure 1 with respect to line m is figure 2

because the distance between each point on figure 1 and the line

m is equal the distance between each point on figure 2 and line m

∴ The reflection image of figure 1 is figure 2

2)

- Figure 3 is the image of figure 1 by translation because if figure 1

moves down by some units it will be coincide with figure 3

∴ The answer is ⇒ Figures 1 and 3