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Directions: Read carefully!
1. |
Area ΔABC = 144 square units.
Find the area of ΔDBE in square units.
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2. |
The perimeters of two similar pentagons, ABCDE and FGHJK, are in the ratio of 3 to 2. Two corresponding sides are labeled x and 4.5 in length. Find HJ.
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3. |
Express the ratio of the area of ΔABC to the area of ΔEDC.
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4. |
Cube A has a side length of 8 inches and cube B has a side length of 2 inches. What is the ratio of the volumes of cube B to
cube A?
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5. |
The ratio of the areas of two squares is 4 : 9.
If the area of the larger square is 144 square inches, what is the length of a side of the smaller square?
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6. |
The triangles shown at the right are similar triangles. Find x.
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7. |
Find the ratio of the area of ΔDBE to the area of ΔABC.
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8. |
Given the graph at the right.
a) What is the ratio of similitude between ΔABC and ΔADE ?
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b) What is the ratio of the areas of ΔABC to ΔADE ?
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c) What is the area of ΔABC ?
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d) If the triangles are revolved about the y-axis, what will be the ratio of the volumes of the cones formed?
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e) What is the volume of the cone formed by the revolution of ΔABC about the y-axis, to the nearest tenth of a cubic unit?
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9. |
ΔCAT and ΔDOG are shown at the right.
Find the length of the altitude to the hypotenuse in
ΔDOG.
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10. |
In the diagrams shown below, ΔABC has been dilated by a scale factor of  to produce image ΔDEF. What is the area of the image ΔDEF ?
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