Question

7. The letter

is shown on the graph grid below. Transform the image using the function F shown below.
Did this transformation preserve the size and shape of
the image? Use tracing paper if necessary.

Answer 1

See explanation

Explanation:

Shown letter E has endpoints at (-3,1), (-6,1), (-4,4), (-6,4), (-3,7) and (-6,7). The transformation with the rule

`F(x,y)=(y,x)`

maps these points into points

(1,-3), (1,-6), (4,-4), (-6,4), (7,-3) and (7,-6) (see attached diagram)

This transformation is a reflection across the line y=x. Reflection preserves the figure size and shape.

Answer 2

Yes, this transformation preserve the size and shape of the image.

The figure is reflected across the line y=x.

Explanation:

From the given figure it is clear that the vertices and end points of the figure are (-3,1), (-6,1), (-4,4), (-6,4), (-3,7) and (-6,7).

Rule of transformation is

`F(x,y)=(y,x)`

Using the rule of transformation we get

`F(-3,1)=(1,-3)`

`F(-6,1)=(1,-6)`

`F(-4,4)=(4,-4)`

`F(-6,4)=(4,-6)`

`F(-3,7)=(7,-3)`

`F(-6,7)=(7,-6)`

The vertices and end points of the figure are (1,-3), (1,-6), (4,-4), (4,-6), (7,-3) and (7,-6).

Plot these points of the coordinate plane.

Yes, this transformation preserve the size and shape of the image.

The figure is reflected across the line y=x.