Lessons for Rotations Reflections Translations

Translations, Rotations, Reflections, Dilations

Multiple Choice

Determine how to translate triangle A'B'C' to triangle ABC.

• (x+2, y-5)
• (x+2, y-9)
• (x-2, y-9)

Multiple Choice

What transformation is happening?
(x, y) ----> (x + 2, y - 3) 

• slide up 2, left 3
• slide right 2, up 3
• slide right 2, down 3
• slide left 3, right 2

90^o Rotation

90^o Rotation

180^o Rotation

270^o Rotation

270^o Rotation

Multiple Choice

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

• (3, 5)

• (-3, -5)

• (-5, 3)

• (5, 3)

Multiple Choice

Triangle A is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D

Multiple Choice

Point A (-3, 5) is rotated 270 counterclockwise degrees about the origin. What the coordinates of its image?

• (5, 3)

• (-5, -3)

• (3, -5)

• (-5, 3)

Dilations

A dilation is when a figure is "enlarged" or "reduced."

The figured will be the same shape but a different size.

If a figure gets bigger, the scale factor is greater than 1.

If a figure gets smaller, the scale factor will be a fraction less than 1 (but not negative).

Multiple Choice

When the scale factor of a dilation is less than one, the dilation is a reduction.

• True
• False

Multiple Choice

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

• B' (2 , 4.5)

• B' (-8 ,-18)

• B' (8 ,18)

• B' (9 ,4)

Multiple Choice

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

• A'(9,9) B'(18,18) C'(27,9)

• A'(6,6) B'(9,9) C'(12,6)

• A'(0,0) B'(3,3) C'(6,0)

• A'(1,1) B'(2,2) C'(3,1)

Multiple Choice

Scale Factor of ½ is __________________ .

• Reduction
• Enlargement

Multiple Choice

Scale Factor of 5 is _________________ .

• Reduction
• Enlargement

Multiple Choice

Did the image enlarge, reduce or none of the above?

• Enlarge
• Reduce
• None of the above

Reflection (Flip)

A reflection flips over the coordinate plane without changing shape or size

The line of Reflection

​The line of reflection is the line over which the image is mirrored

Multiple Choice

Is the picture being reflected in the y-axis or x-axis?

• y-axis
• x-axis

Multiple Choice

Which answer shows a reflection across the x-axis?

• A

• B

• C

• D

Multiple Choice

Which answer shows a reflection across the y-axis?

• A

• B

• C

• D

Reflection over the line y=x​

​Look at the ordered pairs. Compare that of the pre-image to the image. What do you notice?

Rule for reflecting over y = x

​Switch x and y values

Example (3 , 4) will become (4, 3)

Multiple Choice

What would the new coordinates of the BLUE point be if it were reflected over y=x

• (5,-2)

• (2,8)

• (2,5)

• (-5,2)