Choose all that give the correct coordinates of the vertices after a dilation of the rectangle TUVW by a scale factor of 4, centered at the origin.
Rectangle TUVW vertices: T(0, −1), U(0, 1), V(1, 1), W(1, −1)
Responses
A T(0, −1) → T′(4, −4)T(0, −1) → T′(4, −4)
B U(0, 1) → U′(0, 4)U(0, 1) → U′(0, 4)
C V(1, 1) → V′(1, 4)V(1, 1) → V′(1, 4)
D W(1, −1) → W′(4, −4)
A: T(0, −1) → T′(4, −4)
Choose all that give the correct coordinates of the vertices after a dilation of the rectangle TUVW by a scale factor of 4, centered at the origin.
Rectangle TUVW vertices: T(0, −1), U(0, 1), V(1, 1), W(1, −1)
Responses
A T(0, −1) → T′(4, −4)T(0, −1) → T′(4, −4)
B U(0, 1) → U′(0, 4)U(0, 1) → U′(0, 4)
C V(1, 1) → V′(1, 4)V(1, 1) → V′(1, 4)
D W(1, −1) → W′(4, −4)
A: T(0, −1) → T′(4, −4)
B: U(0, 1) → U′(0, 4)
C: V(1, 1) → V′(4, 4)
D: W(1, −1) → W′(4, −4)
Which rule yields the dilation of the figure RSTU centered at the origin?
Responses
A (x, y) → (4x, 4y)(x, y) → (4x, 4y)
B (x, y) → (0.25x, 0.25y)(x, y) → (0.25x, 0.25y)
C (x, y) → (x + 4, y + 4)(x, y) → (x + 4, y + 4)
D (x, y) → (x + 0.25, y + 0.25)
A: (x, y) → (4x, 4y)
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Question
Circle P is dilated by a scale factor of 1.5 to create circle P'. The area of circle P is x square units.
What is the area in square units of circle P'?
Responses
A 1.5x square units1.5 x square units
B (1.5x)2 square units(1.5 x ) 2 square units
C 1.52x square units1.5 2 x square units
D 2(1.5 + x) square units2(1.5 + x ) square units