Transformations

What mathematical definition is correct for the vocabulary word 'reflection'?

• When a geometric figure is rotated around a fixed point.

• When a geometric figure expands or shrinks; creates a scale factor.

• When a geometric figure is flipped across a line, creating a mirror image.

• Every point of a geometric figure moves in the same distance and same direction.

What transformation is used to go from Quadrant II (upper left) to Quadrant I (upper right)?

• Reflection

• Dilation

• Translation

• Rotation

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

Tags

CCSS.HSG.CO.A.2

Which rule would result in a translation of 2 units left and 3 units up?

• (x, y) → (2x, 3y)
• (x, y) → (x - 2, y + 3)
• (x, y) → (-x, -y)
• (x, y) → (x + 2, y - 3)

Tags

CCSS.HSG.CO.A.2

The rule for reflection over the y-axis is  
(x, y) --> _

• (-x, y)
• (x, -y)
• (y, x)
• (-y, x)

How many degrees was the figure rotated?

• 90 degrees counterclockwise 
• 180 degrees
• 90 degrees clockwise

Identify the transformation from B to D.

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

State the line of reflection.

• Reflection across y-axis
• Reflection across x-axis
• Reflection across x = 1
• Reflection across y = 1

After a reflection over the y-axis, the coordinates of the triangle will be:

• (-5, -2), (-2, -3), (-6, -5)
• (5, 2), (2, 3), (6, 5)
• (5, -2), (2, -3), (6, -5)
• (-5, 2), (-2, 3), (-6, 5)

The triangle is reflected over the x-axis. The new coordinates would be

• (-3, 2), (4, 2), (-1, 5)
• (3, 2), (-4, 2), (1, 5)
• (3, -2), (-4, -2), (1, -5)
• (-3, -2), (-4, -2), (-1, -5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5