Dilations, Translations, Rotations and Reflections

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)

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor k = 2.

• (2,4.5)

• (-8,-18)

• (8,18)

• (9,4)

What Transformation is visible?

• Reflection

• Translation

• Rotation

• Dilation

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)

How was B translated to B' if B' is at (4, -2)?

• Translated 6 units down

• Translated 2 units to the left and 6 units down

• Translated 2 units to the right and 6 units down

• Translated 2 units to the right

Reflect the point (2, -4) over the y-axis.

• (-4, 2)

• (-2, 4)

• (-2, -4)

• (2, 4)

Reflect (6, -3) over the line x-axis.

• (6, 3)

• (-6, -3)

• (-3, 6)

• (3, -6)

• (1, -2)

• (-1, 2)

• (-1, -2)

• (1, 2)

Describe the translations that were applied to quadrilateral ABCD when it was translated to quadrilateral A'B'C'D'

• down 1 unit, left 5 units

• down 4 units, left 9 units

• 5 units right, 1 unit up

• 9 units right, 4 units up

Triangle DEF has vertices D(2,0), E(1,-2), and F(2,1). The triangle is rotated 90˚clockwise about the origin.What are the coordinates of vertex F' ?

• (-2, -1)

• (-1, -2)

• (1, -2)

• (-2, 1)