Translations and Dilations

Point J begins at (0,1). Where would point J' be if you translated point 5 units to the left and 2 units up?

(-5,3)

Point B is at (0,4). Dilate Point B by a scale factor of 3

(0,12)

Dilate the figure by a scale factor of 3. What is the new coordinate for C'? A(3,3) B(6,6) C(9,3)

(27, 9)

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

(6,0), (9,-3), (-6,-15)

What is the algebraic rule for a dilation with a scale factor of 1/2?

(x, y) ---> (1/2x, 1/2y)

What is the algebraic rule for a dilation with a scale factor of 6?

(x, y) ---> (6x, 6y)

What is the algebraic rule for a dilation?

(x, y) ---> (kx, ky)

What is the algebraic rule for a translation right 12 and down 7?

(x, y) ---> (x+12, y-7)

What is the algebraic rule for a translation up 1.5?

(x, y) ---> (x, y+1.5)

What is the algebraic rule for a translation up 5 and left 3?

(x, y) ---> (x-3, y+5)

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

1/4

What is the scale factor?

2

A side length of a square is 18 units long. What is the side length of the new square that has been dilated by a scale factor of 2.5?

45

Dilate the figure by a scale factor of 3. 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)

Coordinate C (2,3) ends up at C' (5,7.5). Is this a dilation or a translation? What is the scale factor?

Dilation; scale factor of 2.5

Point A begins at (-6,1). Point A' ends up at (-2,-8). What kind of translation is this?

Down 9 Right 4

A dilation is

Either an enlargement or a reduction

The scale factor of 1.5 would be an enlargement or reduction?

Enlargement

The scale factor of 7/6 would be an enlargement or reduction?

Enlargement

The result of a transformation.

Image

In a dilation what mathematical operation is used with the scale factor?

Multiplication

The original figure prior to a transformation

Pre-Image

The scale factor of 3/4 would be an enlargement or reduction?

Reduction

Similar figures have the same ______ but different ______.

Shape; Size

Coordinate A (6,12) ends up at A' (9,15). Is this a dilation or a translation?

Translation