Dilations, Translations, and Reflections on a Coordinate Plane

When a figure is translated to the right, what happens?

• The y-coordinate gets smaller (subtract from y)

• The y-coordinate gets larger (add to y)

• The x-coordinate gets smaller (subtract from x)

• The x-coordinate gets larger (add to x)

Level 2: What is true about the image and pre-image in a translation?

• The image is larger than the pre-image

• The image is smaller than the pre-image

• The image and pre-image are congruent (or the same size)

Level 3: Point K (4, 2) is translated using this rule:

(x, y)----> (x + 3, y - 1)

What are the coordinates of K'?

• (6, 3)

• (7, 3)

• (7, 1)

• (5, 3)

Level 3: Write the rule for this translation:

Slide 3 up and 2 right

• (x, y)---->(x + 3, y + 2)

• (x, y)-----> (x+2, y + 3)

• (x, y)----> (x - 2, y + 3)

A dilation can produce a smaller figure or a(n)______

• reduction

• enlargement

• scale factor

• center of dilation

Which of the following are Dilations?

• (x, y) → (x, 3y)

• (x, y) → (3x, 3y)

• (x, y) → (x, y - 3)

• (x, y) → (.5x, .4y)

Does the image show a dilation?

• Yes

• No

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)

What is the scale factor if the triangle on the left is the original?

• 2

• 3/2

• 2/3

• 1/2

What is the scale factor if the smaller rectangle is the original rectangle?

• 4

• 25

• 5

• 6