unit 7 review

If the pentagon is dilated by a scale factor of 1/2 from the origin, what will be the new location of point T.

• (2x, 2y)

• (x+2, y+2)

• (1/2x, 1/2y)

• (x+1/2, y+1/2)

Triangle ABC is dilated from the origin with a scale factor of 3.

Which of the following is the new coordinate for point A?

• (3x, 3y)

• (x+3, y+3)

• (x-3, y-3)

• (1/3x, 1/3y)

The origin was used as the center of dilation to dilate quadrilateral ABCD as shown below.

Which algebraic representation best describes the dilation that was applied to quadrilateral ABCD to create quadrilateral A’B’C’D’?

• (x, y) → (x + 3, y + 3)

• x, y) → (1.5x, 1.5y)

• (x, y) → (2x, 2y)

• (x, y) → (​2/3x, 2/​3y)

On the coordinate grid below, the dashed figure is the image of a dilation applied to the larger solid figure.

Which of the following represents this dilation?

• (x, y) → (x − 3/8, y − 3/8)

• (x, y) → (x −3/8 , y − 3)

• (x, y) → (5/8x, 5/8y)

• (x, y) → (2x, 2y)

Which of the following represents this dilation?

• (x, y) → (3/10x, 3/10y)

• (x, y) → (10/3x, 3y)

• (x, y) → (x −3/10 , y − 7)

• (x, y) → (−2/1x, −2/1y)

Figure S, the small arrow, was dilated with the origin as the center of dilation to create Figure T, the large arrow.

Which rule best represents the dilation that was applied to Figure S to create Figure T?

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Which of the following represents a function?

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Which relationship is an example of a proportional relationship?

• A rental car cost $59 per day plus $0.08 per mile driven.

• A gym membership has a $45 registration fee and $25 per month.

• The cell phone bill is $30 plus $0.10 for each call over 100 minutes.

• Samuel earns $20 for each lawn he mows.

Which of these rules BEST describes this translation?

• (x, y - 1)

• (x + 4, y + 2)

• (x - 4, y - 2)

• (x + 4, y - 2)

If rectangle ABCD is transformed to create rectangle A’B’C’D’, and the coordinates of rectangle A’B’C’D’ are A’(x, –y), B’(x, –y), C’(x, –y), and D’(x, –y), which transformation has occurred?

• Translation

• Reflection across the y-axis

• Rotation of 90° around the origin

• Reflection across the x-axis