Geometry Dilation

The corresponding point for a pre- image that has one vertice at ( 2, 3) and a scale factor of 2 would be at (4, 6).

• True in all cases. It doesn't matter where the center of dilation is located. You simply multiply the coordinates by the scale factor. 

• False. You can't use the scale factor to find the coordinates of the corresponding vertice.

• True, assuming that the center of dilation is at the origin.

• False, the corresponding vertice would have coordinates of (4, 5)

Tags

CCSS.8.G.A.3

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

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

• (5,3)

• (20,12)

• (-20,-12)

• (-5,-3)

Tags

CCSS.8.G.A.3

A dilation is which of the following: 

• only an enlargement

• only a reduction

• Either an enlargement or a reduction

• Neither an enlargement or a reduction

Tags

CCSS.8.G.A.3

A dilation produces a similar figure.

• True

• False

Tags

CCSS.8.G.A.3

When a dilation has a scale factor greater than one, the dilation is an enlargement.

• True

• False

Tags

CCSS.8.G.A.3

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

• True

• False

Tags

CCSS.8.G.A.3

What is the value of x?

• x = 4

• x = 6

• x = 3

• x = 2

Tags

CCSS.HSG.SRT.A.2

How do you write the algebraic notation when the scale factor is 1/2?

• (x, y) goes to (2x, 2y)

• (x, y) goes to (1/2x, 1/2y)

• (x, y) goes to (-2x, -2y)

• (x, y) goes to (2x, 1/2y)

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