Describing effects of transformations

What is the image of ( -2,3) after
r_y=x  ∘ D₂

• (-6,4)
• (6,-4)

Triangle EFG is drawn on the coordinate plane. The triangle is dilated by a scale factor of 1/3, with the center of dilation at the origin, to form triangle E'F'G'. Then, triangle E'F'G' is translated 3 units to the right to form triangle E''F''G''. What is the coordinate of E'' ?

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)

Describe the sequence of transformations that maps Figure G onto Figure H.

(Hint!: Figure G is the pre-image)

• Translate 3 units down

• Translate 6 units left

• Reflect across the y-axis

• Rotate 180^o around the origin

The point (-3,-9) is reflected over the y-axis, then over the x-axis. What is the ordered pair of the new point?

If you reflect point A(2,3) over the y-axis and then translated it 2 units up, would it give you the same result as translating up 2 units and then reflecting over the y-axis?

• Yes

• No

If QR is rotated 270 degrees counterclockwise about the origin and then translated 2 units down and 3 units to the left, what are the endpoints of the resulting image?

• Q' (-2, -3) R'(-4, 0)

• Q' (-1, -4) R'(-3, -1)

• Q' (1, 1) R'(-2, 1)

• Q' (1, -1) R'(-1, 2)

Triangle XYZ has vertices X(-2, 2) Y(3, 2) and Z(-5, -6). Rotate the figure 180 degrees, translate it 2 units up and 4 units right, then dilate by a scale factor of 2. What are the new coordinates?

• X'''(8,4) Y'''(-2,4) Z'''(14,20)
• X'''(12,0) Y'''(2,0) Z'''(18,16)
• X'''(12,0) Y'''(2,0) Z'''(3, 4)
• X'''(8,4) Y'''(2,0) Z'''(14,20)

What is the rule for the following reflection? 

• Reflection across       y = −2
• Reflection across        y = 2
• Reflection across            x = 2
• Reflection across          x =  −2

Reflect (6, -3) over the line y = -x and then over the x-axis.

• (6, 3)

• (-6, -3)

• (-3, 6)

• (3, 6)