# Transformations Activity

Transformation #1: Translate 5 units to the RIGHT and 7 units DOWN.

## 1a.

Notate the new coordinates of  T’ R’ A’ P’

## 1b.

What segments on the image are parallel to the pre-image? Why?

## 1c.

Draw in the following mapping line segments (in RED) TT', RR', AA', PP' b. What do you notice about these segments?

Transformation #2: Reflect TRAP across the line x=2.

## 2a.

Notate the new coordinates of  T’ R’ A’ P’

## 2b.

What can you conclude about the points on the pre-image and the image (in relation to the line of reflection?

## 2c.

Draw in the following mapping line segments (in RED) TT', RR', AA', PP' b. What do you notice about these segments?

Transformation #3: Reflect TRAP across the line .

## 3a.

Notate the new coordinates of  T’ R’ A’ P’

## 3b.

Which segments on the image are parallel to the pre-image? How do you know?

## 3c.

Draw in the following line segments (in RED) TT', RR', AA', PP' Segments: TT', RR', AA', PP' should be Perpendicular to the Line of Reflection. How can you be sure (or prove) these red lines are perpendicular to the Line of Reflection?

Transformation #4: Rotate TRAP 180 degrees (clockwise) around point of rotation: B (0,0).

## Be sure to label your new Image T' R' A' P'

Draw in these line segments (in the following colors): RED TT', BLUE RR', GREEN AA', PURPLE PP'

## 4a.

Notate the new coordinates of  T’ R’ A’ P’

## 4b.

What can you conclude about between pre-image TRAP, image T’ R’ A’ P’ and the point of rotation?

TRANSFORMATION #5: Rotate TRAP 90 (clockwise) around point of rotation B (0,0).

## Be sure to label your new Image T' R' A' P'

Draw in the following line segments (in the listed Colors) RED: TB, and BT' BLUE: RB, and BR' PURPLE: AB, and BA' GREEN: PB and BP'

## 5a.

Notate the new coordinates of  T’ R’ A’ P’.

## 5b.

Make an observation about the SLOPES of the corresponding segments you just color coded.

Transformation #6: Rotate TRAP 270 (clockwise) around point of rotation B (1,2).

## Be sure to label your new Image T' R' A' P'

Draw in the following line segments (in the listed Colors) RED: TB, and BT' BLUE: RB, and BR' PURPLE: AB, and BA' GREEN: PB and BP'

## 6a.

Notate the new coordinates of  T’ R’ A’ P’.

## 6b.

Make an observation about the SLOPES of the corresponding segments you just color coded.