Dilations on the Coordinate Plane

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1) A triangle has sides 3, 4, and 5. After dilation, the new triangle has sides 9, 12, and 15. What is the scale factor?
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Dilations On The Coordinate Plane - Quiz

Get ready to use coordinates to resize shapes with confidence! In this quiz, you’ll dilate points and polygons by a scale factor about the origin, find new coordinates, and compare perimeters and areas after a change in size. Step by step, you’ll see that dilations preserve angles and proportions,... see moremaking bigger (or smaller) shapes that are still the same shape. see less

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2) The vertices of a trapezoid are (1, 2), (3, 2), (2, 4), and (4, 4). If the trapezoid is dilated by a factor of 2 about the origin, one new vertex is:
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3) Which transformation could change a triangle into a larger similar triangle?
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4) A dilation centered at the origin maps (–2, 5) to (–6, 15). What is the scale factor?
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5) A rectangle 5 by 7 is dilated to become 20 by 28. The scale factor is:
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6) The vertices of a triangle are (0, 0), (2, 4), and (4, 2). A dilation with scale factor 0.5 produces:
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7) Which of the following is not preserved in a dilation?
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8) A line segment from (1, 2) to (3, 4) is dilated by scale factor 2 about the origin. The image endpoints are:
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9) A triangle has sides 5, 7, and 9. After a dilation, the new triangle has sides 2.5, 3.5, and 4.5. Which scale factor was used?
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10) A hexagon with perimeter 30 is dilated with scale factor 5. What is the new perimeter?
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11) A dilation is performed on a triangle with base 10 and height 6. The new base is 15. What is the new height?
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12) A rectangle with sides 6 and 10 is dilated to form a new rectangle with sides 9 and 15. The ratio 9 ÷ 6 = 15 ÷ 10 represents the:
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13) Which center of dilation leaves all points unchanged?
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14) A figure has a side length of 12. After dilation, the side length is 18. The scale factor is:
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15) A point at (–2, 5) is dilated about the origin with a scale factor of 4. What are the new coordinates?
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16) A triangle has an area of 25. After dilation with scale factor 4, the new area is:
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17) Which transformation preserves shape and size without turning or flipping (i.e., a slide)?
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18) A dilation centered at the origin maps (3, –2) to (1.5, –1). The scale factor is:
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19) Which of the following is always true of dilations?
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20)  A triangle with perimeter 12 is dilated by a scale factor of 2. What is the new perimeter?
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A triangle has sides 3, 4, and 5. After dilation, the new triangle has...
The vertices of a trapezoid are (1, 2), (3, 2), (2, 4), and (4, 4). If...
Which transformation could change a triangle into a larger similar...
A dilation centered at the origin maps (–2, 5) to (–6,...
A rectangle 5 by 7 is dilated to become 20 by 28. The scale factor is:
The vertices of a triangle are (0, 0), (2, 4), and (4, 2). A dilation...
Which of the following is not preserved in a dilation?
A line segment from (1, 2) to (3, 4) is dilated by scale factor 2...
A triangle has sides 5, 7, and 9. After a dilation, the new triangle...
A hexagon with perimeter 30 is dilated with scale factor 5. What is...
A dilation is performed on a triangle with base 10 and height 6. The...
A rectangle with sides 6 and 10 is dilated to form a new rectangle...
Which center of dilation leaves all points unchanged?
A figure has a side length of 12. After dilation, the side length is...
A point at (–2, 5) is dilated about the origin with a scale...
A triangle has an area of 25. After dilation with scale factor 4, the...
Which transformation preserves shape and size without turning or...
A dilation centered at the origin maps (3, –2) to (1.5,...
Which of the following is always true of dilations?
 A triangle with perimeter 12 is dilated by a scale factor of 2....
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