Transformation #1: Translate 5 units to the RIGHT and 7 units DOWN.
Notate the new coordinates of T’ R’ A’ P’
What segments on the image are parallel to the pre-image? Why?[br][br]
Draw in the following mapping line segments (in [color=#980000]RED[/color]) TT', RR', AA', PP'[br]b. What do you notice about these segments?
Transformation #2: Reflect TRAP across the line x=2.
Notate the new coordinates of T’ R’ A’ P’
What can you conclude about the points on the pre-image and the image (in relation to the line of reflection?
Draw in the following mapping line segments (in [color=#980000]RED[/color]) TT', RR', AA', PP'[br]b. What do you notice about these segments?
Transformation #3: Reflect TRAP across the line [math]y=\frac{3}{2}x-1[/math].
Notate the new coordinates of T’ R’ A’ P’
Which segments on the image are parallel to the pre-image? How do you know?[br][br][br]
Draw in the following line segments (in [color=#980000]RED[/color]) TT', RR', AA', PP'[br]Segments: TT', RR', AA', PP' should be Perpendicular to the Line of Reflection. [br]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).
Draw in these line segments (in the following colors):[br][color=#ff0000]RED[/color] TT', [br][color=#0000ff]BLUE[/color] RR', [br][color=#00ff00]GREEN[/color] AA', [br][color=#9900ff]PURPLE[/color] PP'
Notate the new coordinates of T’ R’ A’ P’
What can you conclude about between pre-image TRAP, image T’ R’ A’ P’ and the point of rotation?[br][br]
TRANSFORMATION #5: Rotate TRAP 90 (clockwise) around point of rotation B (0,0).
Draw in the following line segments (in the listed Colors)[br][color=#980000]RED[/color]: TB, and BT'[br][color=#0000ff]BLUE[/color]: RB, and BR'[br][color=#9900ff]PURPLE[/color]: AB, and BA'[br][color=#00ff00]GREEN[/color]: PB and BP'
Notate the new coordinates of T’ R’ A’ P’.[br][br][br]
Make an observation about the [b]SLOPES[/b] of the corresponding segments you just color coded.[br]
Transformation #6: Rotate TRAP 270 (clockwise) around point of rotation B (1,2).
Draw in the following line segments (in the listed Colors)[br][color=#980000]RED[/color]: TB, and BT'[br][color=#0000ff]BLUE[/color]: RB, and BR'[br][color=#9900ff]PURPLE[/color]: AB, and BA'[br][color=#00ff00]GREEN[/color]: PB and BP'
Notate the new coordinates of T’ R’ A’ P’.[br][br][br]
Make an observation about the [b]SLOPES[/b] of the corresponding segments you just color coded.[br]