Dilations

What is a dilation in geometry?

• A dilation in geometry is a type of angle measurement

• A dilation in geometry is a type of reflection

• A dilation in geometry is a type of translation

• A dilation in geometry is a transformation that changes the size of a figure, but not its shape. It involves stretching or shrinking the figure by a certain scale factor.

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CCSS.HSG.SRT.A.1

What is the scale factor of a dilation?

• The scale factor of a dilation is the sum of the corresponding side lengths of the image and the pre-image.

• The scale factor of a dilation is the product of the corresponding side lengths of the image and the pre-image.

• The scale factor of a dilation is the difference of the corresponding side lengths of the image and the pre-image.

• The scale factor of a dilation is the ratio of the corresponding side lengths of the image and the pre-image.

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CCSS.HSG.SRT.A.1

If the scale factor of a dilation is greater than 1, what happens to the size of the figure?

• The size of the figure increases.

• The size of the figure becomes a square.

• The size of the figure decreases.

• The size of the figure stays the same.

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CCSS.HSG.SRT.A.1

If the scale factor of a dilation is between 0 and 1, what happens to the size of the figure?

• The size of the figure decreases.

• The size of the figure increases.

• The size of the figure stays the same.

• The size of the figure becomes a square.

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CCSS.HSG.SRT.A.1

What is the center of dilation?

• The center of dilation is a fixed point in the plane about which all points are expanded or contracted in a dilation.

• The center of dilation is a circle in the plane

• The center of dilation is a triangle in the plane

• The center of dilation is a line in the plane

Tags

CCSS.HSG.SRT.A.1

If the scale factor of a dilation is 2, what happens to the length of a line segment?

• The length of the line segment becomes half.

• The length of the line segment doubles.

• The length of the line segment triples.

• The length of the line segment stays the same.

Tags

CCSS.HSG.SRT.A.1

If the scale factor of a dilation is 0.5, what happens to the length of a line segment?

• The length of the line segment is doubled.

• The length of the line segment remains the same.

• The length of the line segment is increased by 0.5.

• The length of the line segment is reduced by half.

Tags

CCSS.HSG.SRT.A.1

What is the formula to find the coordinates of the image after a dilation?

• (x', y') = (x+k, y+k)

• The formula to find the coordinates of the image after a dilation is (x', y') = (kx, ky), where (x', y') are the coordinates of the image, (x, y) are the coordinates of the original point, and k is the scale factor of the dilation.

• (x', y') = (x/k, y/k)

• (x', y') = (x-k, y-k)

Tags

CCSS.HSG.SRT.A.1

If the scale factor of a dilation is negative, what happens to the orientation of the figure?

• The orientation of the figure becomes smaller

• The orientation of the figure remains the same

• The orientation of the figure is reversed or flipped.

• The orientation of the figure becomes larger

What is the difference between a reduction and an enlargement in dilations?

• Reduction and enlargement both involve increasing the size of the original figure

• Reduction and enlargement are the same thing and can be used interchangeably

• Reduction makes the figure smaller, while enlargement makes the figure larger

• The main difference is that reduction involves shrinking the size of the original figure, while enlargement involves increasing the size of the original figure.

Tags

CCSS.HSG.SRT.A.1