M1 T2 Dilations Review

M1 T2 Dilations Review

by Gina Salamin

Multiple Choice

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

• a reduction

• an enlargement

• a scale

• not proportional

Multiple Choice

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

• an enlargement

• a reduction

• a scale factor

• bigger

Multiple Choice

If a dilation produces a congruent figure, then the scale factor was equal to _____.

• 1/2

• 2

• 10

• 1

Multiple Choice

A triangle has the vertices of (-4, 8), (4, 12), and (-4,-6).

What would be the vertices of the image if the triangle undergoes a dilation of 1/2?

• (-4, 8), (4, 12), and (-4,-6).

• (-2, 4), (2, 6), and (-2,-3).

• (-8, 16), (8, 24), and (-8,-12).

• (4, -8), (-4, -12), and (4, 6).

Multiple Choice

What figures are always similar?

• all circles

• all rectangles

• all trapezoids

• all triangles

Multiple Choice

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

• ½

• ¼

• 4

• 2

Multiple Choice

A triangle has the vertices of (-4, 8), (4, 12), and (-4,-6).

If the triangle undergoes a dilation with a scale factor of 2, what will be the new vertices of the image?

• (-4, 8), (4, 12), and (-4,-6).

• (-2, 4), (2, 6), and (-2,-3).

• (-8, 16), (8, 24), and (-8,-12).

• (4, -8), (-4, -12), and (4, 6).

Multiple Choice

Figure B is a dilation of Figure A.

Which is the scale factor in the dilation?

• 2

• 1/2

• 1/4

• 4

Multiple Choice

One vertex of a triangle is at point P (3, 1). The triangle is dilated about the origin by a scale factor of 3.

What are the coordinates of point P' ?

• (1, 9)

• (9,3)

• (9,1)

• (3, 9)

Multiple Choice

The figure undergoes a sequence of transformations that results in a figure that is similar but not congruent to the original figure.

Which could be the sequence of transformations?

• a dilation by a scale factor of 2, followed by a rotation of 180°

• a reflection across the x-axis, followed by a rotation of 180°

• a rotation of 90° counterclockwise about the origin, followed by a reflection across the y-axis

• a translation down 5 units, followed by a translation right 8 units

Multiple Select

An image undergoes a transformation that results in the image shown.

If the image is similar to the original, which transformations would map the original onto its image? (Two choices are correct)

• dilation

• translation

• reflection

• rotation

Multiple Choice

Ms. Yanni draws two figures on the board for her math class as shown.

Which statement is correct regarding figures L and L' ?

• Figure L' is congruent to L.

• Figure L' is similar to L.

• Figure L' is both congruent and similar to L.

• Figure L' is neither congruent nor similar to L.

Multiple Select

A triangle undergoes a series of transformations. Which transformation(s) will result in an image that is similar but NOT congruent to the original triangle?

Select ALL that apply.

• rotation

• reflection

• translation

• dilation by a scale factor of equal to 1

• dilation by a scale factor of greater than or less than 1

Multiple Choice

Triangles R and R' are similar.

Which sequence of transformations can obtain triangle R' from triangle R?

• a reflection across the x-axis and a dilation with the origin as the center of dilation by a scale factor of 1/2

• a reflection across the x-axis and a dilation with the origin as the center of dilation by a scale factor of 2

• a reflection across the y-axis and a dilation with the origin as the center of dilation by a scale factor of 1/2

• a reflection across the y-axis and a dilation with the origin as the center of dilation by a scale factor of 2

Multiple Choice

Which statement correctly justifies that Figure L is similar to Figure L'?

• Figure L' can be obtained by rotating Figure L 90 degrees counterclockwise and then dilating it by a scale factor greater than 1 about the origin.

• Figure L' can be obtained by rotating Figure L 90 degrees clockwise and then dilating it by a scale factor greater than 1 about the origin.

• Figure L' can be obtained by rotating Figure L 90 degrees clockwise and then dilating it by a scale factor less than 1 about the origin.

• Figure L' can be obtained by rotating Figure L 90 degrees counterclockwise and then dilating it by a scale factor less than 1 about the origin.

Multiple Choice

The smaller rectangle is a dilation of the larger rectangle. Which choice describes the dilation?

• (x, y) becomes (4x, 4y)

• (x, y) becomes (x+2, y+2)

• (x, y) becomes ( $$\frac{1}{3}$$ x, $$\frac{1}{3}$$ y)

• (x, y) becomes ( $$\frac{1}{2}$$ x, $$\frac{1}{2}$$ y)

Multiple Choice

The two triangles are similar. What is the length of side x?

• 50 inches

• 55 inches

• 60 inches

• 65 inches

Multiple Choice

Which statement is true?

• All three triangles are congruent because they are equilateral?

• All three triangles are congruent because their angle measures are equal

• Triangle Z is similar to Triangle X but not similar to Triangle Y

• Triangle Z is similar to both Triangle X and Triangle Y

Multiple Choice

What scale factor maps triangle T2 onto triangle T1?

• 0.2

• 0.5

• 2

• 5