 Similarity Measurement Practice Terms of Use    Contact Person: Donna Roberts  1.
Area ΔABC = 144 square units.
Find the area of ΔDBE in square units.

Choose:
 9 16 36 48 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.

Choose:
 6.75 4 3.5 3 3.
Express the ratio of the area of ΔABC to the area of ΔEDC.

Choose:     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?

Choose:     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?

Choose:
 6" 8" 10" 12" 6.
The triangles shown at the right are similar triangles. Find x.

Choose:
 12 13 15 16 7.
Find the ratio of the area of ΔDBE to the area of ΔABC.

Choose:     8.
Given the graph at the right.
a) What is the ratio of similitude between
Choose: 2 4

b)
What is the ratio of the areas of ΔABC to ΔADE ?

Choose:     c)
What is the area of ΔABC ?
Choose:
 2 sq. units 4 sq. units 8 sq. units 16 sq.units

d)
If the triangles are revolved about the y-axis, what will be the ratio of the volumes of the cones formed?
Choose:    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?
Choose:
 4.2 cu. units 8.4 cu. units 12.6 cu. units 25.1 cu. units

9.
ΔCAT and ΔDOG are shown at the right.
Find the length of the altitude to the hypotenuse in ΔDOG.

Choose:
 4.8 7.2 8.4 8.6 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 ?
Choose:
 9 sq.units 18 sq.units 21 sq.units 27 sq.units  