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Laabri

Geometry - Unit 5 - Lesson 5 & 6

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11 Nsɛmmisa
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Parallelogram AB'C'D' was obtained by dilating parallelogram

ABCD using A as the center of dilation.

a) What was the scale factor of the dilation?

k=

b) How many congruent copies of ABCD fit inside A'B'C'D'?

c) How does the area of parallelogram AB'C'D' compare to parallelogram ABCD?

It is times as big.

d) If parallelogram ABCD has area 12 square units, what is the area of parallelogram AB'C'D'?

Area= square units

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

A circle with an area of 8\pi square centimeters is dilated so that its image has an area of 32\pi square centimeters. What is the scale factor of the dilation?

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

A rectangle with area 12 square units is dilated by a scale factor of k. Find the area of the image for each given value of k.

a) k=2 square units

b) k=5 square units

c) k=1 square units

d) k=\frac{1}{4} square units

e) k=1.2 square units

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

A trapezoid has an area of 100 square units. What scale factor would be required to dilate the trapezoid to have each area?

a) 6400 square units k=

b) 900 square units k=

c) 100 square units k=

d) 25 square units k=

e) 4 square units k=

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

A polygon with area 10 square units is dilated by a scale factor of k. Find the area of the image for each value of k.

a) k=4 Area= square units

b) k=1.5 Area= square units

c) k=1 Area= square units

d) k=\frac{1}{3} Area= square units (Enter area as a fraction.)

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

It takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box which holds 15 cups of sugar. Double the dimensions of the box.

Approximately how much paint would the new box need? oz. of paint.

How much sugar would it hold? cups of sugar.

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

A solid with volume 12 cubic units is dilated by a scale factor of k. Find the volume of hte image for each given value of k.

a) k=\frac{1}{4} Dilated volume = cubic units (Leave answer as a fraction)

b) k=.4 Dilated volume = cubic units

c) k=1 Dilated volume = cubic units

d) k=1.2 Dilated volume = cubic units

e) k=\frac{5}{3} Dilated volume = cubic units (Leave answer as a fraction)

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Select all expressions which give the measure of angle A.

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9.

A solid's volume is 10 cubic inches. The solid is dilated by a scale factor of 3.5. Use exact values if possible.

How many times bigger is the scaled solid compared to the original?

What is the volume of the image?

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

A parallelogram has an area of 10 square feet.

Complete the table that shows the relationship between the dilated area (x) and the scale factor (y).

Dilated area

0 \rightarrow SF=

40 \rightarrow SF=

160 \rightarrow SF=

360 \rightarrow SF=

640 \rightarrow SF=

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11.

A regular hexagon is inscribed in a circle of radius 1 inch. What is the area of the blue shaded region?

Round your answer to the nearest hundredth.