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2023 Geometry DA Study Materials

Total questions: 20

Worksheet time: 39mins

Name
Class
Date
1.

The circle divided into sectors.

∠APE and ∠EPD are congruent.

In the circle, segment PB is a radius.

The length of segment PB is 3 units.

Which of the following expressions represents the arc length of arc AED?

a)

5.65

b)

7.54

c)

2.83

d)

15.08

2.

Find the volume of the cone. (Select all that apply.)

a)

301.6

b)

96 π\pi

c)

288 π\pi

d)

904.8

3.

What is the center of the circle

(x+7)2+(y+4)2=25\left(x+7\right)^2+\left(y+4\right)^2=25

a)

(7, 5)

b)

(7, 4)

c)

(-7, -4)

d)

(7, -4)

4.

What is the radius of the circle modeled by the equation?

(x+4)2+(y+7)2=25\left(x+4\right)^2+\left(y+7\right)^2=25

a)

5

b)

7

c)

4

d)

25

5.

What is the length of the line segment?

a)

5.83

b)

9.27

c)

12.73

d)

9.49

6.

A bag contains 2 orange marbles, 4 purple marbles, 3 green marbles, and 6 black marbles.  What is the probability of selecting a purple marble followed by a black marble?  The first marble is replaced.

a)

26.7%

b)

10.7%

c)

11.4%

d)

20%

7.

You are copying a line segment, you have a line segment AB on your paper, and a point A’.  What’s the next step?

a)

use your compass to measure AB. 

b)

Put your compass point on A’ & makes an arc.

c)

Put point C on line AB.

d)

Opens the compass more than halfway on AB and then draws an arc from point A’.

8.

What is the total volume? Rounded to the nearest whole cubic centimeter.

a)

3136

b)

3985

c)

849

d)

13589

9.

What is the center and radius of the circle modeled by the equation?

x2+y26x+14y=23=0x^2+y^2-6x+14y=23=0

a)

Center (6, -14)

Radius 4.8

b)

Center (-3,7)

Radius 9

c)

Center (3, -7)

Radius 9

d)

Center (3, 7)

Radius 81

10.

The vertices of the triangle shown are A(-3, 2) B (4, 4)  and C (0, -1).

What is the PERIMETER?

a)

10.4 units

b)

12.9 units

c)

15.4 units

d)

17.9 units

11.

Which of the following is an example of DEPENDENT events?

a)

Drawing two aces from a deck of cards without replacing the first.

b)

Drawing two aces from a deck of cards, replacing the first.

c)

Drawing an ace from a deck of cards, then rolling a six on a die.

d)

Spinning “Red” two times in a row on a four-color spinner.  

12.

Find the measure of angle ABC.

a)

140

b)

70

c)

55

d)

65

13.

A cylinder is sliced perpendicularly into two equal parts through its bases. Which of the following figures best describes the cross-section of the cylinder

a)

b)

c)

d)

14.

What is the mass (g) of a 2 ml vial of carbon tetrachloride?  The density of carbon tetrachloride is 1.589 g/ml.

a)

3.178 grams

b)

1.259 grams

c)

0.795 grams

d)

3.589 grams

15.

The vertices of the triangle shown are A (-3,5), B (4,4), and C(-3,-1)

What is the AREA of the triangle?

a)

35 square units

b)

21 square units

c)

18 square units

d)

42 square units

16.

There are ___ people that both watch football and baseball, but do not watch tennis.

a)

9

b)

11

c)

30

d)

40

17.

Organize the steps for angle bisectors

A. Put your compass on one of the intersections of the arc and ray. Draw an arc between the rays.

B. Draw a ray from the vertex of the angle through the intersection of the arcs

C. Repeat putting your compass on the other intersection, creating an intersection with the first arc between the rays.

D. Put your compass on the vertex and draw an arch that intersects both rays

a)

A. B. C. D.

b)

B. A. C. D.

c)

D. A. C. B.

d)

D. C. A. B.

18.

According to Cavalieri's Principle, which shapes have the same volume?

a)

Cylinder and rectangular prism with equal heights

b)

A cone and a pyramid with equal base area and height.

c)

A cylinder and a cone with equal base area and heights.

d)

A cone and a sphere with the same radius.

19.

A building is constructed using bricks that can be modeled as right rectangular prisms with dimensions of 3” thick by 2" high and 7" long.. If the bricks cost $0.03 per cubic inch, find the cost of 60 bricks. Round your answer to the nearest cent.

a)

$ 0.02

b)

$ 75.60

c)

$ 84000.00

d)

$ 840.00

20.

The equations are y +3=58(x2) and 8x+5y =6y\ +3=\frac{5}{8}\left(x-2\right)\ and\ 8x+5y\ =6

a)

The same line

b)

Perpendicular Lines

c)

Parallel Lines

d)

Not parallel, perpendicular, or the same.