2015-16 Geometry Final Review Part 2 (Demo Version) Read each … · 2016-05-22 · 10 11.5 12 12.25 If a 5-meter flagpole casts a 10-meter shadow, how tall is a nearby house which

2015-16 Geometry Final Review Part 2 (Demo Version)

Read each question carefully.

A 20-foot flagpole is 80 feet away from the school building. A student stands 25 feet away from the building. What is the height of the student?

A)

C)

B)

D)

1)

5.5 feet

6.25 feet

7.25 feet

8.75 feet

1


A flagpole is 55 feet away from the school building. A 5-foot tall student stands 20 feet away from the building. What is the height of the flagpole?

A)

C)

B)

D)

2)

11.5 feet

12.25 feet

13 feet

13.75 feet

2


Given the diagram below, what is the value of x?

A)

C)

B)

D)

3)

10

11.5

12

12.25

If a 5-meter flagpole casts a 10-meter shadow, how tall is a nearby house which is casting a 20-meter shadow?

A)

C)

B)

D)

4)

5 meters

10 meters

15 meters

20 meters

3


A movie projector positioned 42 feet from a wall creates an image that is 8 feet wide on the wall. If a screen is placed 5 feet in front of the projector, what will be the width of the image on the screen?

A)

C)

B)

D)

5)

less than 1 foot

between 1 and 2 feet

between 2 and 3 feet

greater than 3 feet

What is the value of y?

A)

C)

B)

D)

6)

18

20

22

24

4



A)

C)

B)

D)

7)

10

12

14

16


A)

C)

B)

D)

8)

12

15

20

40

5



A)

C)

B)

D)

9)

12.8

20

24

26


A)

C)

B)

D)

10)

7.5

10

10.5

12

6


In the figure below, which value of x ensures that there are two similar triangles?

A)

C)

B)

D)

11)

5

7

8

There is no such value of x.


A)

C)

B)

D)

12)

25

15

5

2

7


Which statement is true about the triangle below?

A)

C)

B)

D)

13)

x < 45

x > 45

x = 45

Not enough information to determine the value of x.


A)

C)

B)

D)

14)

x < 45

x > 45

x = 45


8



A)

C)

B)

D)

15)

x < 45

x > 45

x = 45


A ladder leaning against a building forms a 32-degree angle with the building. Which is closest to the height of the top of the ladder?

A)

C)

B)

D)

16)

5 feet

9.4 feet

12.9 feet

15.1 feet

9


An airplane is 977 feet from the top of an air traffic control tower. Which is closest to the height of the air traffic control tower?

A)

C)

B)

D)

17)

254 feet

263.8 feet

723 feet

947.7 feet

10


Which triangle was constructed congruent to the given triangle?

A)

C)

B)

D)

18)

11



A)

C)

B)

D)

19)

12



A)

C)

B)

D)

20)

13


Which must be true?

A)

C)

B)

D)

21)

A)

C)

B)

D)

22)

14


What are the sine, cosine, and tangent ratios of / P in the given triangle?

A)

C)

B)

D)

23)

15


A)

C)

B)

D)

24)

16


A)

C)

B)

D)

25)

17


A)

C)

B)

D)

26)

18


A)

C)

B)

D)

27)

19


A)

C)

B)

D)

28)

20


A)

C)

B)

D)

29)

A right triangle's hypotenuse has length 14. If one leg has length 8, what is the length of the other leg?

A)

C)

B)

D)

30)

21


A)

C)

B)

D)

31)

A square has a perimeter of 40 units. If the square is transformed so that its new perimeter is 20 units, what is true?

A)

C)

B)

D)

32)

The new area will be 25% smaller than the original.



The new area will be the same as the original.

22


A right triangle has a perimeter of 24 units. If the triangle is transformed so that its new height is halved, what is true?

A)

C)

B)

D)

33)




The new area will be the same as the original.


A)

C)

B)

D)

34)

28.6

37

40

43

23


What reason can be used to prove that the triangles are congruent?

A)

C)

B)

D)

35)

AAS

ASA

SAS

SSS

Two cars start at the same point on a straight road and travel 3 miles in opposite directions. Both cars then turn left on a perpendicular road and travel 4 miles.What is the distance between the two cars?

A)

C)

B)

D)

36)

5 miles

10 miles

14 miles

25 miles

24


Which is true about P1 if it is the image of point P subject to a dilation with the center O and a scale factor k?

A)

C)

B)

D)

37)

For all values of k, P1 is on m.

For k = 1, P1 is on m; for k > 1, P1 is in the shaded half-plane; for 0 < k < 1, P1 is in the non-shaded half-plane.

For k = 1, P1 is on m; for k > 1, P1 is in the non-shaded half-plane; for 0 < k < 1, P1 is in the shaded half-plane.

For all values of k, P1 is on a line parallel to m and removed from m by k units.

The diagram shows triangle MOP. Which statement would prove segment NQ is parallel to segment OP?

A)

C)

B)

D)

38)

distance from N to O is equal to the distance from Q to P

distance from M to N is equal to the distance from M to Q

slope of angle MOP is congruent to slope of angle QMN

length of segment NO is equal to the length of segment MN

25


The diagram shows quadrilateral WXYZ. Which statement would prove WXYZ is a parallelogram?

A)

C)

B)

D)

39)

Which of the following equations represents a line that is perpendicular to the line x + 4y = 12 and passes through the point (0, -9)?

A)

C)

B)

D)

40)

y = -4x - 9

y = 4x - 9

y = -0.25x - 9

y = -0.25x + 3

26


What is true about the lines represented by this system of linear equations?

y = -2x + 5 2y = x + 15

A)

C)

B)

D)

41)

The lines are perpendicular.

The lines are parallel.

The lines coincide.

The lines intersect, but are not perpendicular.

Which of the following equations represents a line that is parallel to the line 8x + 4y = -36 and passes through the point (0, 9)?

A)

C)

B)

D)

42)

y = -2x - 9

y = -2x + 9

y = -0.5x - 9

y = 0.5x + 9

27



y = 6x - 9 y = 6x + 3

A)

C)

B)

D)

43)




The lines coincide.


4y = 2x + 12 4y = -2x - 24

A)

C)

B)

D)

44)



The lines coincide.


28


How are the graphs of the following functions different?

A)

C)

B)

D)

45)

The second graph will be perpendicular to the original graph.

The second graph will intersect, but will not be perpendicular to the original graph.

The second graph will be parallel to the original graph.

The second graph will coincide with the original graph.


3y = -2x + 6

-6y = 4x - 12

A)

C)

B)

D)

46)



The lines coincide.


29



y = 2x - 4 9y = 18x - 36

A)

C)

B)

D)

47)



The lines coincide.



4y = 2x + 12 2y = 4x - 24

A)

C)

B)

D)

48)



The lines coincide.


30


Which of the following equations represents a line that is perpendicular to the line x - y = 22 and passes through the point (0, -11)?

A)

C)

B)

D)

49)

y = -x - 11

y = x - 11

y = -x + 2

y = x + 2


y = -x - 16 y = x - 16

A)

C)

B)

D)

50)



The lines coincide.


31

Documents

2015-16 Geometry Final Review Part 2 (Demo Version) Read each … · 2016-05-22 · 10 11.5 12 12.25 If a 5-meter flagpole casts a 10-meter shadow, how tall is a nearby house which