Perform Similarity Transformations

Name the transformation

• Reflection

• Rotation

• Translation

• Dilation

Which of the statements is true about the graphed triangles?

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, 5)

• (-5, 3)

• (-3, 3)

What is the rule for the dilation pictured below?

• (x, y) → (½x, ½y)

• (x, y) → (x + 2, y + 2)

• (x, y) → (2x, 2y)

• (x, y) → (2x, 3y)

Which series of transformations were performed in the figure?

• Translation 5 units down, reflection over the y-axis

• Reflection over the x-axis, translation 6 units right

• Rotation 90^o clockwise, reflection over the x-axis

• Rotation 180^o clockwise, reflection over the y-axis

Determine how to translate triangle ABC to triangle A'B'C'.

• (x-2, y+5)

• (x+2, y-9)

• (x-2, y+9)

• (x-9, y+2)

What is the sequence of transformations for the image given?

• Reflect over the x-axis, translate (x+8,y)

• Reflect over the x-axis then translate (x+6, y)

• Reflect over the y-axis then (x+1, y+1)

• Translate down 4 (y-4) and to the right 5 (x+5)

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)

What are the coordinates of C(-6, 2) and B(-1, -1) if rotated 90 degrees counterclockwise?

• C' (-6, 2), B' (-1, -1)

• C' (6, 2), B' (1, -1)

• C' (2, -6), B' (-1, -1)

• C' (-2, -6), B' (1, -1)

One side of a triangle on the coordinate plane is 4 units long. If it undergoes a dilation about the origin with a scale factor of 2, what will the length be?

• 2

• 4

• 8

• 16