Quiz about EOG Review -- Geometry

Question 1

A rectangular room on a blueprint is 2 inches wide and 5 inches long. If the scale of the blueprint to the actual room is 1 inch = 72 inches, what is the width of the room in feet?

Accepted Answer

12 ft

Answer

18 ft

Answer

30 ft

Answer

36 ft

Question 2

Luanne made a photocopy of a drawing of a rectangle. The original drawing was 4.5 inches wide and 6 inches long. The copy was 6.75 inches wide and 9 inches long. What was the scale factor of original to the copy?

Accepted Answer

2:3

Answer

1:2

Answer

4:9

Answer

1:3

Question 3

Justin made a scale drawing of a rectangular playground. He used the scale 2 centimeters = 3 feet. His drawing is 18 centimeters x 24 centimeters. What is the actual area of the playground?

Accepted Answer

$$972\ ft^2$$

Answer

$$648\ ft^2$$

Answer

$$432\ ft^2$$

Answer

$$288\ ft^2$$

Question 4

Iba constructed $$\Delta ABC$$ in her notebook. $$\overline{AB}$$ was 12 centimeters long. $$\overline{BC}$$ was 10 centimeters long. Which measurement could be the length of $$\overline{AC}$$ ?

Accepted Answer

21 cm

Answer

24 cm

Answer

23 cm

Answer

22 cm

Question 5

Which set of side lengths can form a triangle?

Accepted Answer

6cm, 8cm, and 10cm

Answer

6cm, 8cm, and 16cm

Answer

6cm, 7cm, and 14cm

Answer

6cm, 7cm, and 20cm

Question 6

Dabir bought a map of his city. It uses a scale of 1 inch = 8 miles. Dabir's house and school are 1 1/2 inches apart on the map. How many more inches apart would his house and school have been on the map if the scale were 1 inch = 5 miles?

Accepted Answer

0.9 inches

Answer

2.4 inches

Answer

5.3 inches

Answer

12.0 inches

Question 7

The fountain in the middles of a park is circular, with a diameter of 16 feet. There is a walkway that is 3 feet wide that goes around the fountain. What is the approximate area of the walkway?

Accepted Answer

$$179\ ft^2$$

Answer

$$28\ ft^2$$

Answer

$$82\ ft^2$$

Answer

$$201\ ft^2$$

Question 8

Which angle measures can form a triangle?

Accepted Answer

$$80\degree,\ 70\degree,\ and\ 30\degree$$

Answer

$$60\degree,\ 70\degree,\ and\ 40\degree$$

Answer

$$75\degree,\ 65\degree,\ and\ 50\degree$$

Answer

$$105\degree,\ 70\degree,\ and\ 15\degree$$

Question 9

The two ends of this triangular right prism are equilateral triangles. The measurements are given to the nearest tenth of a cm. What is the surface area of the prism?

Accepted Answer

$$74\ cm^2$$

Answer

$$70\ cm^2$$

Answer

$$140\ cm^2$$

Answer

$$280\ cm^2$$

Question 10

The angles in this diagram are complementary. What is the value of x?

Accepted Answer

14

Answer

3

Answer

29

Answer

43

Question 11

This drawing is a scale drawing of a store. To the nearest 50 square feet, what is the area of the actual store?

Accepted Answer

2500 square feet

Answer

2300 square feet

Answer

2400 square feet

Answer

2450 square feet

Question 12

Martin ordered a pizza with a 16-inch diameter. Ricky ordered a pizza with a 20-inch diameter. What is the approximate difference in area of the two pizzas?

Accepted Answer

$$113\ in^2$$

Answer

$$50\ in^2$$

Answer

$$201\ in^2$$

Answer

$$452\ in^2$$

Question 13

Ra'fah drew a diagram on a piece of paper with the dimensions shown below. He places the paper outside during a light rain. What is the approximate probability that a raindrop lands on the paper will fall outside the shaded region?

Accepted Answer

84%

Answer

16%

Answer

40%

Answer

60%

Question 14

The figure below is a scale drawing of a vacant lot in Phil's neighborhood. The scale of the drawing is 1 centimeter = 15 meters.

Accepted Answer

$$2700\ m^2$$

Answer

$$180\ m^2$$

Answer

$$210\ m^2$$

Answer

$$3600\ m^2$$

Question 15

The arrow on a street sign measures 30 inches from the tip to the end as shown. What is the area of the arrow?

Accepted Answer

$$146\ in^2$$

Answer

$$110\ in^2$$

Answer

$$130\ in^2$$

Answer

$$182\ in^2$$

Question 16

The figure shows several rays that share a common endpoint. What is the measure of $$\angle QOR$$ ?

Accepted Answer

$$31\degree$$

Answer

$$59\degree$$

Answer

$$90\degree$$

Answer

$$101\degree$$

Question 17

The figure shows several rays that share a common endpoint. What is the value of x?

Accepted Answer

26

Answer

2

Answer

56

Answer

116

Question 18

Which set of angle measures could form a triangle?

Accepted Answer

$$36\degree,\ 42\degree,\ and\ 102\degree$$

Answer

$$2\degree,\ 67\degree,\ and\ 33\degree$$

Answer

$$22\degree,\ 66\degree,\ and\ 145\degree$$

Answer

$$55\degree,\ 122\degree,\ and\ 159\degree$$

Question 19

Dennis made a scale drawing of his backyard, using the scale $$\frac{1}{4}$$ inch = 3 feet. The rectangular swimming pool was 2 inches long and 1 inch wide in the drawing. What was the area of the actual swimming pool?

Accepted Answer

$$288\ ft^2$$

Answer

$$12\ ft^2$$

Answer

$$24\ ft^2$$

Answer

$$576\ ft^2$$

EOG Review -- Geometry

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