1.14 Quiz: Dilations

Graph the image of the given triangle under a dilation with a scale factor of 12 and center of dilation ​ (0, 0) ​ . To graph the triangle, select the "Polygon" tool and draw the triangle by plotting each vertex in order until it lands back on the first vertex. Do not retrace any sides. You may use the "Move" tool to move your image if needed.

(0,0) (4,0) (0,-3)

Graph the image of the given triangle under a dilation with a scale factor of 14 and center of dilation ​ (0, 0) ​ . To graph the triangle, select the "Polygon" tool and draw the triangle by plotting each vertex in order until it lands back on the first vertex. Do not retrace any sides. You may use the "Move" tool to move your image if needed.

(0,0) (2,0) (0,1)

Graph the image of the given triangle under a dilation with a scale factor of −2 and center of dilation (0, 0) . To graph the triangle, select the "Polygon" tool and draw the triangle by plotting each vertex in order until it lands back on the first vertex. Do not retrace any sides. You may use the "Move" tool to move your image if needed.

(4,4) (8,-2) (6,8)

Graph the image of the given triangle under a dilation with a scale factor of ​ −4 ​ and center of dilation ​ (0, 0) ​. To graph the triangle, select the "Polygon" tool and draw the triangle by plotting each vertex in order until it lands back on the first vertex. Do not retrace any sides. You may use the "Move" tool to move your image if needed.

(8,8) (-4,8) (-4,-8)

Graph the image of the given triangle under a dilation with a scale factor of ​ −3 ​ and center of dilation ​ (0, 0) ​. To graph the triangle, select the "Polygon" tool and draw the triangle by plotting each vertex in order until it lands back on the first vertex. Do not retrace any sides. You may use the "Move" tool to move your image if needed.

(9,9) , (0,-6) , (6,-9)

△Q′R′S′ is the image of △QRS under a dilation through point C. What scale factor was used in the dilation?

-4

△M′N′P′ is the image of △MNP under a dilation through point C. MP=10 and M′P′=4. What scale factor was used in the dilation?

0.4

△X′Y′Z′ is the image of △XYZ under a dilation through point C. XZ=4 and X′Z′=5. What scale factor was used in the dilation?

1.25

△R′S′T′ is the image of △RST under a dilation through point C. RS=5 and R′S′=8. What scale factor was used in the dilation?

1.6

Graph the image of the given triangle under a dilation with a scale factor of 1313 and center of dilation (0, 0)(0, 0) . To graph the triangle, select the "Polygon" tool and draw the triangle by plotting each vertex in order until it lands back on the first vertex. Do not retrace any sides. You may use the "Move" tool to move your image if needed.

A: (0,0) B: (0,3) C: (-2,0)

Classify each scale factor as a contraction or an expansion. Drag and drop the choices into the boxes to complete the table.

Contraction: 0.9 3/8 Expansion: 5 -6 8/5

Classify each scale factor as a contraction or an expansion. Drag and drop the choices into the boxes to complete the table.

Contraction: 1/3 0.8 Expansion: -3, 4, 3/2

Classify each scale factor as a contraction or an expansion. Drag and drop the choices into the boxes to complete the table.

Contraction: 1/5 3/4 Expansion: 1.25, 3, -2,

△J′K′L′ is the image of △JKL under a dilation through point C. What scale factor was used in the dilation?

−0.2

△E′F′G′ is the image of △EFG under a dilation through point C. What scale factor was used in the dilation?

−1/2