Free Printable Geometry A Final B

1.

Find the distance between P (2, 8), and Q (5,3).

a)

9 units

b)

$\sqrt{18}$ units

c)

$\sqrt{34}$ units

d)

$\sqrt{170}$ units

2.

What is the length of

\overline{RS}

?

a)

$1\ \frac{5}{16\ }$ inches

b)

$1\ \frac{3}{8}$ inches

c)

$1\ \frac{7}{16}$ inches

d)

$1\ \frac{5}{8}$ inches

3.

What is the length of

\overline{PQ}

?

a)

50.9 cm

b)

46.3 cm

c)

25.7 cm

d)

21.3 cm

4.

What is the distance between P and Q?

a)

5

b)

7

c)

9

d)

25

5.

Find the coordinates of the midpoint between L (8,5) and B (-6, 2).

a)

(1, 3.5)

b)

(2, 1.5)

c)

(7, 3.5)

d)

(7, 1.5)

6.

Given S is between M and U. MS = 4x+12, SU = 12 and MU = 48. Which is the correct value of x?

a)

x = 0

b)

x = 6

c)

x =18

d)

x = 2

7.

Which 3 points are collinear in this figure?

a)

A,B,D

b)

E, C, A

c)

A, B, C

d)

F, E, G

8.

Name the intersection between plane

P

and the plane

BCD

.

a)

point B

b)

$Line\ BC$

c)

$Line\ BD$

d)

$\Delta BCD$

9.

Given that A is between Y and Z. YA is 5.5, AZ = 2x and YZ = 41.5, find AZ.

a)

18

b)

72

c)

9

d)

36

10.

What is the measure of angle 1?

a)

40^o

b)

50^o

c)

70^o

d)

90^o

11.

What is the measure of angle 3?

a)

40^o

b)

70^o

c)

110^o

d)

90^o

12.

What type of angle is $\angle ABC$ ?

a)

Acute

b)

Obtuse

c)

Right

d)

Straight

13.

What is the angle relationship between $\angle1\ and\ \angle8$ ?

a)

Alternate Exterior

b)

Consecutive Interior

c)

Alternate Interior

d)

Corresponding

14.

What is the angle relationship between $\angle3\ and\ \angle7$ ?

a)

Alternate Exterior

b)

Consecutive Interior

c)

Alternate Interior

d)

Corresponding

15.

Given that $a\parallel b$ and $m\angle2=65$ , find $m\angle6$ ?

a)

25

b)

65

c)

115

d)

140

16.

Given that $a\parallel b$ and $m\angle3=5x+10$ and $m\angle5=3x+10$ find x?

a)

x = 110

b)

x = 70

c)

x = 20

d)

x = 2.5

17.

Find the slope of the line between the points P(-6, 3) and Q (12, 9)

a)

m = -3

b)

$m\ =-\ \frac{1}{3}$

c)

$m\ =\frac{1}{3}$

d)

m = 3

18.

Which is the equation of a line with x-intercept 2 and y-intercept of 12?

a)

y = -6x +12

b)

y = 2x+12

c)

y = 6x + 12

d)

y = 12x + 2

19.

Which is the equation of a line parallel to the line containing the points (1, -3) and (7, 15)?

a)

y = -3x + 8

b)

$y\ =\ \frac{1}{3}x$

c)

$y\ =\ \frac{1}{3}x-6$

d)

y = 3x - 10

20.

Which of the following is a line with a slope of $\frac{1}{2}$ and contains the point (-4, 7)?

a)

$y\ =\ \frac{1}{2}x+9$

b)

$y\ =\ \frac{1}{2}x+5$

c)

$y\ =\ \frac{1}{2}x-5$

d)

$y\ =\ -4x+7.5$

21.

Mr. Karich charges $125 for any hockey player who wants private lessons, he also charges $25 per lesson for the cost of ice time. Which equation represents the total cost, C, for a hockey player taking, L, lessons?

a)

C + 125 = 25L

b)

C = 25L +125

c)

C = 25(L + 125)

d)

C = 175L

22.

Identify the plane parallel to plane ACE.

a)

Plane ABG

b)

plane BCH

c)

plane EFK

d)

plane GJF

23.

Which segment is skew to $\overline{JK}$ ?

a)

$\overline{AB}$

b)

$\overline{CD}$

c)

$\overline{JH}$

d)

$\overline{GF}$

24.

Find $m\angle FBD$ if $\angle FBD$ and $\angle DBE$ are complementary and $\angle FBD$ is twice $\angle DBE$

a)

30 degrees

b)

45 degrees

c)

60 degrees

d)

90 degrees

25.

Which angles are SUPPLEMENTARY?

a)

$\angle ABE\ and\ \angle CBD$

b)

$\angle ABC\ and\ \angle ABD$

c)

$\angle ABC\ and\ \angle CBD$

d)

$\angle ABC\ and\ \angle EBD$

26.

Which angle is vertical to $\angle ABC$ ?

a)

$\angle DBE\$

b)

$\angle ABD$

c)

$\angle FBE$

d)

$\angle EBA$

27.

Find $m\angle ABC$ if $m\angle ABC=4x+9$ and $m\angle EBD=7x-9$ ?

a)

6

b)

33

c)

45

d)

73

28.

If $m\angle CBF=6x+18$ , find the value of x such that $\overline{CB}\ \perp\ \overline{BF}$ ?

a)

x = 90

b)

x= 45

c)

x =18

d)

x = 12

29.

If $\Delta DJL\ \cong\Delta EGS$ , which segment in $\Delta EGS$ corresponds to segment $\overline{DL}$ ?

a)

$\overline{EG}$

b)

$\overline{ES}$

c)

$\overline{GS}$

d)

$\overline{GE}$

30.

For the isosceles trapezoid MNOP, find $m\angle OPM$

a)

44

b)

65

c)

80

d)

116

31.

Which value of x makes this quadrilateral a parallelogram?

a)

x = 12

b)

x = 36

c)

x = 24

d)

x = 132

32.

Which of the following is a property of a parallelogram?

a)

Each pair of opposite sides are congruent.

b)

Only one pair of opposite sides are congruent

c)

Each pair of opposite angles are supplementary

d)

There are 4 right angles.

33.

Which triangles are congruent based on the information given?

a)

$\Delta KLJ\cong\Delta MNL$

b)

$\Delta JLK\cong\ \Delta NLM$

c)

$\Delta JKL\ \cong\ \Delta LMN$

d)

$\Delta JKL\ \cong\ \Delta MNL$

34.

The rhombus QRST is made of 2 congruent isosceles triangles. Given

\angle QRS\ =34

, what is the measure of angle S?

a)

56

b)

73

c)

112

d)

146

35.

In a trapezoid, one base is 19 inches and the midsegment is 16 inches, what is the measure of the other base?

a)

35 inches

b)

19 inches

c)

17.5 inches

d)

13 inches

36.

If $\Delta LMN$ is isosceles, with $\overline{LM}\cong\overline{MN}$ and T is the midpoint of $\overline{LN}$ , which postulate can be used to prove $\Delta MLT\cong\Delta MNT$ ?

a)

AAS

b)

ASA

c)

SAS

d)

SSS

37.

Which of the following measurements can be used to make a triangle?

a)

6,6,12

b)

6,7,13

c)

3.8, 1.4, 2.2

d)

2.6, 8.1, 10.2

38.

Find the sum of the measures of interior angles of a 45-gon.

a)

8100^o

b)

7740^o

c)

360^o

d)

172^o

39.

Which values of x and y make this shape a parallelogram?

a)

x = 13, y = 24

b)

x = 13, y = 6

c)

x = 7, y = 24

d)

x = 7, y = 6

40.

Which is the correct value of x?

a)

x = 30

b)

x = 66

c)

x = 102

d)

x = 138

41.

ABCD is a rectangle with diagonals $\overline{AC}$ and $\overline{BD}$ . If AC = 5x+2 and BD = x + 22. Which is the correct value of x?

a)

x = 5

b)

x = 6

c)

x = 11

d)

x = 26

42.

For the kite QRSP, what is the measure of angle S?

a)

248^o

b)

112^o

c)

68^o

d)

124^o

43.

Find the measures of exterior angles of a 45-gon.

a)

8100^o

b)

7740^o

c)

360^o

d)

172^o

44.

For kite JKLM, find the length of JM.

a)

$\sqrt{29}$

b)

$\sqrt{89}$

c)

9

d)

11

45.

The ratio of the measure of the angles of a triangle are 2:3:10. What is the measure of the smallest angle?

a)

12^o

b)

15^o

c)

24^o

d)

36^o

46.

In a rectangle, the ratio of width to length is 4:5. If the length is 40 cm. What is the width?

a)

32 cm

b)

36 cm

c)

44 cm

d)

50 cm

47.

Which postulate that can be used to prove these triangles similar?

a)

AA similarity

b)

SAS similarity

c)

ASA similarity

d)

SSA similarity

48.

A triangular-shaped house has congruent legs, what is the measure of each base angle?

a)

25^o

b)

50^o

c)

100^o

d)

120^o

49.

In a given fall, 126 student played soccer while 54 played volleyball, what is the ratio of soccer players to volleyball players?

a)

$\frac{3}{4}$

b)

$\frac{3}{7}$

c)

$\frac{4}{3}$

d)

$\frac{7}{3}$

50.

Find the value of x such that PR and ST are parallel.

a)

4

b)

6

c)

4.5

d)

6.5

51.

240 students are eating lunch, 96 purchased their lunch while the rest brought it from home. What is the ratio of students purchasing their lunch to those who brought it from home?

a)

3:2

b)

2:3

c)

2:5

d)

5:2

52.

These 2 shapes are similar. Find the value of x.

a)

x = 18.75

b)

x = 22.75

c)

x = 20

d)

x = 28

53.

A 34 foot flagpole casts a 20 ft shadow. At the same time a building casts an 86 foot shadow. How tall is the building?

a)

70.8 ft

b)

89 ft

c)

9.2 ft

d)

146.2 ft

54.

Which statement is true?

a)

$\Delta PQR\sim\Delta RST$

b)

$\Delta PQR\sim\Delta STR$

c)

$\Delta PQR\sim\Delta TSR$

d)

$\Delta PQR\sim\Delta TRS$

55.

Find the value of x

a)

x = 2.5

b)

x = 3

c)

x = 3.5

d)

x = 4

56.

a)

Megan

b)

Both houses are the same height

c)

Marissa

d)

Not enough information

57.

Yoga classes are $5 per class with a fee of $120 per year to join the health club. Which equation represents the yearly cost, C, for yoga classes (y)?

a)

C = 5y

b)

C = 5y-120

c)

C = 5y +120

d)

C = 5(y+120)

58.

$ABCD\sim EFGH$ , if the perimeter of ABCD is 54 cm and the perimeter of EFGH is 36 cm. What is the scale factor of ABCD to EFGH?

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

$\frac{3}{5}$

d)

$\frac{5}{3}$

59.

At the current rate of exchange, $25 is equivalent to 278 pesos. If you are exchanging $200, how many pesos should you expect to collect?

a)

2178

b)

2396

c)

2224

d)

2504

60.

For $\Delta ABC\sim\Delta LMN$ , AB = 18, BC = 12, LN = 9 and LM = 6. What is the scale factor of $\Delta ABC$ to $\Delta LMN$ ?

a)

9:2

b)

3:2

c)

3:1

d)

2:1

61.

Which is the correct length of QT?

a)

15

b)

19

c)

17

d)

21

62.

2 similar trapezoids have a scale factor of 3:2. If the perimeter of the larger one is 21 yards, what is the perimeter of the smaller one?

a)

14 yd

b)

17.5 yd

c)

28 yd

d)

31.5 yd

63.

A small plane must refuel haflway through its flight. If the plane took off from location (9, -2) and its destination is located at (-3, 6), which point is closest to halfway

a)

(3.1, 2)

b)

(2.5, 1.5)

c)

(4, 1.5)

d)

(5, -4.5)

64.

What are the lengths of the sides of the equilateral triangle?

a)

2.5

b)

5

c)

15

d)

20

65.

Which triangles are congruent?

a)

$\Delta HMN\cong\Delta HGN$

b)

$\Delta NMH\cong\Delta NGH$

c)

$\Delta HMN\cong\Delta NGH$

d)

$\Delta MNH\cong\Delta HGN$

Geometry A Final B

Total questions: 65

Worksheet time: 5hrs 25mins

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