Perform the following transformations in the pictures below.

QUESTION A

ΔALT has coordinates .

If we translate by the rule

Then;

.

.

.

A reflection over the y-axis has the mapping

If we reflect the resulting points over the y-axis, we obtain,

.

.

.

QUESTION B

ΔTAB has vertices .

A reflection over the x-axis has the mapping

A reflection over the y-axis also has the mapping;

If we reflect ΔTAB over the x-axis and reflect the resulting image over the y-axis, we obtain;

QUESTION C

ΔALT has vertices .

A clockwise rotation about the origin has the mapping;

A reflection in the line y=x also has the mapping;

When we rotate the given triangle clockwise about the origin, and then reflect the image over the line y=x, we obtain;

QUESTION D

ΔTAB has vertices .

A reflection over the y-axis has the mapping;

The rule for the given translation is

If reflect the given triangle over the y-axis and translate using the rule , we obtain;

step-by-step explanation: