Question

Which transformation produces another triangle that has the same area as the one shown?

A clockwise rotation of 180' about the origin, then a
dilation by scale factor 2
3
2
A reflection in the line y = -2, then a translation of
2 units right.
1
Р
-4 -3
-2
11
Z
-10
-1
Q4%
A clockwise rotation of 90 about the origin, then a
dilation by scale factor 4.
-2
R
-3
A dilation by scale factor then a translation of
4 units up.

Answer 1

A reflection in the line y = -2, then a translation 2 units right.

Explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Rigid transformation are transformation that preserves the shape and size of the object. Rotation, reflection, translation are rigid transformation whereas dilation is not a rigid transformation.

Any transformation regarding dilation changes the side length of the object and hence the area.

From the question, only one option is right. The rest options are not right because they involve dilation. The correct option is:

A reflection in the line y = -2, then a translation 2 units right.