M1 T2 Review

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).

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).

Figure B is a dilation of Figure A.

Which is the scale factor in the dilation?

• 2

• 1/2

• 1/4

• 4

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)

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

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?

• dilation

• translation

• reflection

• rotation

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.

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

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

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.