Geometric Transformations

which transformation will map the regular octagon onto itself?

• 30 degree rotation about the center

• 45 degree rotation about the center

• 120 degree rotation about the center

• 225 degree rotation about the center

• 270 degree rotation about the center

Which transformation will map the figure onto itself?

• 90 degree rotation about the center

• 180 degree rotation about the center

• 270 degree rotation about the center

• none of the above

Which transformation will map an image onto itself?

• A translation 3 units right and 3 units up

• A rotation 360^o clockwise

• A reflection over the y-axis followed by a translation 3 units down

• A dilation followed by a 90^o clockwise rotation

When performing 2 reflections over parallel lines (as shown in the diagram) what is the resultant transformation?

• 1 Reflection

• 1 Rotation

• 1 Translation

• 1 Dilation

• A
• D
• B
• C

Name the transformation.

• Translation

• Reflection

• Rotation

• Dilation

Write a rule for the translation.

•  (x -1, y  + 2)

•  (x -2, y  + 1)

•  (x +2, y  - 1)

• (x +1, y  -  2)

Identify the transformation from ABCD to A'B'C'D'.

• Translation

• Reflection across the y-axis

• Reflection across the x-axis

• 90^o counter clockwise Rotation

Identify the transformation from A to D.

• 90^o Clockwise Rotation

• 180^o Rotation

• 270^o Clockwise Rotation

• 360^o Rotation

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

• (5,3), (6,2), (1,-2)

• (6,0), (9,-3), (-6,-15)

• (2/3,0), (1,-1/3), (-2/3,-5/3)

• (-1,-3), (0,-4), (-5,-8)