Category 5: Similarity & Geometry of Shape

On the map above, Main Street, 10th Street, and Highway 1 intersect to form a right triangle.

The distance between 10th Street and Main Street along Highway 1 is 5.6 mi. Which measure is closest to the length of Main Street from Highway 1 to 10th Street?

• 8.7 mi

• 3.6 mi

• 4.7 mi

• 7.3 mi

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

The side length of a smaller square is one-third the side length of a larger square. Which of the following statements describes the area of the smaller square?

• The area of the smaller square is $\frac{1}{27}$ the area of the larger squre.

• The area of the smaller square is $\frac{1}{6}$ the area of the larger square.

• The area of the smaller square is $\frac{1}{9}$ the area of the larger square.

• The area of the smaller square is $\frac{1}{3}$ the area of the larger square.

Tags

CCSS.7.G.A.1

The volume of a rectangular prism is 960 cubic inches. If the dimensions of the base are doubled and the height remains the same to create a new prism, what will be the volume of the new rectangular prism in cubic inches?

Tags

CCSS.7.G.B.6

Which expression can be used to find the length of QR in centimeters?

• 19(cos 20^o)

• 19(tan 20^o)

• 19(sin 70^o)

• 19(tan 70^o)

Tags

CCSS.HSG.SRT.C.6

The top of a bench has a length of 5 ft and a width of 2 ft. A second bench is similar to the first bench. The top of the second bench is 3 ft wide. What is the length of the top of the second bench?

• 6 ft

• 7 ft

• 4.5 ft

• 7.5 ft

Tags

CCSS.7.G.A.1

A triangle is enlarged by multiplying each of its dimensions by 4. Based on this information, which of the following statements is true?

• The perimeter of the new triangle is 12 times the perimeter of the original triangle.

• The perimeter of the new triangle is 16 times the perimeter of the original triangle.

• The perimeter of the new triangle is 18 times the perimeter of the original triangle.

• The perimeter of the new triangle is 4 times the perimeter of the original triangle.

Tags

CCSS.7.G.A.1

In ΔDAC shown above, EB ∥ DC.

If AC = 28.5 cm, what is the length of AB?

• 22.5 cm

• 14.4 cm

• 36.1 cm

• 23.7 cm

Tags

CCSS.HSG.SRT.B.4