Question

Describe the transformation in the figure below

reflection
translation
rotation
glide

Answer 1

A) Reflection.

Explanation:

From the figure shown, we can see that the blue triangle is flipped about the x-axis to form the red triangle.

When an object is flipped about a line, then this transformation is called reflection about that line.

Thus, we can say that reflection is taking place in the figure shown in which the x-axis is acting like a mirror. The blue triangle is the pre-image and the red triangle is the image after reflection.

The reflection about x-axis is given by:

`Pre-image(x,y)\rightarrow Image(x,-y)`

We can check the co-ordinates of the triangles and confirm the the transformation occurring

Points of pre-image triangle:

`(0,2),(4,5),(6,2)`

Points of image triangle

`(0,-2),(4,-5),(6,-2)`

Thus, the transformation is reflection.