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Transformations Activity

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

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

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.

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

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 .

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

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.

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