Geometric Transformations Diagnostic

Name the transformation.

• Translation

• Reflection

• Rotation

• Dilation

When you translate, you ______ a number to x and y.

• Add or subtract

• Multiply or divide

• Add or multiply

• Subtract or divide

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 ABC to A'B'C'.

• 90^o clockwise rotation
• 90^o counter clockwise rotation
• Reflection across the y-axis
• Reflection across the x-axis

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

Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)

• (-5,-6)
• (5,-6)
• (6,5)
• (-6,5)

Identify the transformation from A to D.

• 90^o Clockwise Rotation
• 180^o Rotation
• 270^o Clockwise Rotation
• 360^o Rotation

Which rule would dilate shows a scale factor of 4

• (x, y) → (y, x)
• (x, y) → (x + 4, y + 4)
• (x, y) → (x, -y)
• (x, y) → (4x, 4y)

What is the rule for the dilation pictured below?

• (x, y) → (½x, ½y)

• (x, y) → (x + 2, y + 2)

• (x, y) → (2x, 2y)

• (x, y) → (2x, 3y)

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)