Question

A translation is shown on the grid below.

Which are true statements about the translation?
1 The sides of the image and preimage are congruent.
2 The image is turned 90 degrees.
3 The angles in the image are different from the angles in the pre-image
4 The image is a slide of the preimage.
5 The image has a different shape than the pre-image
6 Each point has moved in a different direction.
7 Each point has moved the same number of units.

Answer 1

Statements 1, 4,and 7 are true

Answer 2

The correct options are 1, 4 and 7.

Explanation:

From the given figure it is clear that the vertices of preimage are A(-4,2), B(-4,-2) and C(-1,-2).

The vertices of image are A'(1,5), B'(1,1) and C'(4,1).

The relation between vertices of preimage and image is defined by the rule

`(x,y)\rightarrow (x+5,y+3)`

It means the figure ABC translated 5 units right and 3 units up.

Translations a rigid transformation. It means the size and shape of image and preimage are same.

We can say that,

(a) The sides of the image and preimage are congruent.

(b) The angles in the image and angles in the pre-image are same.

(c) The image is a slide of the preimage.

(d) The image and pre-image have same shape.

(e) Each point has moved in same direction.

(f) Each point has moved the same number of units.

Therefore the correct options are 1, 4 and 7.