Dilations on the Coordinate Plane

State the coordinates of the image of point C after a dilation with a scale factor of 1/2 and center point P.

• (-6, 1)

• (-3, -2)

• (1, -6)

• (-2, -3)

Tags

CCSS.8.G.A.3

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'. Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

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Tags

CCSS.HSG.CO.A.2

The center of dilation is important because

• it's the location from which the dilation occurs.

• All of the corresponding points of the image and pre image are on the lines radiating from the Center of Dilation.

• it's a fixed point on the plane about which all points are expanded or contracted.

• All of the above

Tags

CCSS.8.G.A.3

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)

Tags

CCSS.8.G.A.3

Which of the following is the algebraic representation for a dilation?

• (x, y) → (x, 3y)

• (x, y) → (3x, 3y)

• (x, y) → (x, y - 3)

• (x, y) → (.5x, .4y)

Tags

CCSS.8.G.A.3

If the scale factor is less than one, the new figure will be

• an enlargement

• a reduction

• a scale factor

• bigger

Tags

CCSS.8.G.A.3

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

• 2

• 3/2

• 2/3

• 1/2

Tags

CCSS.7.G.A.1

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

• 4

• 25

• 5

• 6

Tags

CCSS.7.G.A.1

The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.

• reduction

• enlargement

• scale factor

• center of dilation

Tags

CCSS.7.G.A.1

Dilate the figure by a scale factor of 3. What are the coordinates of the image?

• 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)

Tags

CCSS.8.G.A.3