Compose Transformations

Describe a sequence of transformations that maps 
Triangle ABC onto Triangle A"B"C".

• A 180° rotation about the Origin followed by a reflection across the y-axis
• A reflection across the y-axis followed by a reflection across the x-axis and another reflection across the y-axis
• A translation 8 units right and 6 units down followed by a reflection across the y-axis
• A reflection across the x-axis followed by a translation 2 units to the left

Describe a sequence of transformations that maps 
Triangle ABC onto Triangle A"B"C".

• A translation 9 units to the right and 5 units down followed by a reflection across the y-axis
• A translation 7 units to the right and 5 units down followed by a reflection across the y-axis
• A 180° rotation about the Origin followed by a translation 9 units to the left
• A 180° rotation aout the Origin followed by a translation 6 units to the left

Describe a sequence of transformations that maps 
Triangle ABC onto Triangle A"B"C".

• A translation 9 units to the right and 5 units down followed by a reflection across the y-axis
• A translation 7 units to the right and 5 units down followed by a reflection across the y-axis
• A 180° rotation about the Origin followed by a translation 9 units to the left
• A 180° rotation about the Origin followed by a translation 6 units to the left

Describe a sequence of transformations that maps

Quadrilateral WXYZ onto Quadrilateral W"X"Y"Z".

• A 90° counter-clockwise rotation about the Origin followed by a translation 6 units down

• A reflection across the y-axis followed by a reflection across the x-axis

• A translation 5 units down followed by a reflection across the y-axis

• A translation 7 units left followed by a reflection across the x-axis

What is the sequence of transformations for the image given? 

• Reflect over the x-axis, translate (x+8,y)
• Reflect over the x-axis then translate (x+6, y)
• Reflect over the y-axis then (x+1, y+1)
• Translate down 4 (y-4) and to the right 5 (x+5)

Describe a sequence of transformations that maps 
Triangle QRS onto Triangle TUV'.

• A translation 3 units down and 5 units left followed by a reflection across the y-axis
• A translation 5 units down and 3 units left followed by a reflection across the y-axis
• A translation 3 units up and 5 units right followed by a reflection across the y-axis
• A translation 5 units down and 3 units left followed by a reflection across the y-axis

Describe a sequence of transformations that maps 
Quadrilateral EFGH onto Quadrilateral MNOP.

• A 90° counter-clockwise rotation about the origin followed by a translation 3 units down and 3 units to the right
• A 90° counter-clockwise rotation about the origin followed by a translation 3 units up and 3 units to the left
• A 270° counter-clockwise rotation about the origin followed by a translation 3 units down and 3 units to the right
• A 270° counter-clockwise rotation about the origin followed by a translation 3 units up and 3 units to the left

Describe a sequence of transformations that does NOT map Triangle PQR onto Triangle P'Q'R'.

• A reflection across the x-axis followed by a reflection across the y-axis
• A reflection across the y-axis followed by a reflection across the x-axis
• A 180° rotation about the origin followed by a translation 1 unit down
• A translation 3 units down followed by a reflection across the y-axis

Which pairs of polygon could be created by a series of transformations?

• N & O

• P & Q

• R & S

• None of the pairs could be created by a series of transformations.

Describe a sequence of transformations that maps 
Quadrilateral ABCD onto Quadrilateral A'B'C'D'.
HINT: Remember to keep the vertices in order.

• A translation 3 units down an 3 units to the right followed by a reflection across the y-axis
• A reflection across the y-axis followed by a translation 3 units to the left and  3 units down
• A 180° rotation about the Origin followed by a translation 5 units up and 3 units left
• A 180° rotation about the Origin followed by a translation 3 units up and 5 units left