semester exam

#1. ST

UV

Which of the following

best describes what

SVT and TVU have in common?

[D] V, T

[A] VT [B] VT

[C] VT

A

#2. ABC

DE

FO

Which of the following is a

pair of supplementary

angles?

[A] BOF and BOA

[B] COD and DOE

[C] COF and AOF

[D] DOE and DOB

D

#3.

I

B FN J G

D M K

E Q S T U

A

C

H

Which two angles

are adjacent?

[A] BMD and KMS [B] MKT and NJ T

[C] FJ G and NJ F [D] DEQ and TIG

C

#4. Plane P contains points A, B, and C. A different

plane, plane Q, contains points B, C, and D. Which of the following

represents the intersection of P and Q?

[D] points B, C, A, and D

[B] BC

[C] BC

[A] AD B

#7.

E(3, 4, - 5)

F(- 6, 10, 0)

What are the coordinates of the midpoint of

EF?

[A] (4.5, 7, 2.5) [B] (- 1.5, 7, - 2.5)

[C] (4.5, 3, - 2.5) [D] (- 1.5, 3, - 2.5)

B

#8. What is the approximate distance between the points (-

13, 8) and(206, 196) in the xy-

plane?[A] 219 units [B] 269 units

[C] 289 units [D] 299 units

C

#9.

Tomstown (2, 3)

Mt. Lookout (78,71)

Exit 1

Exit 2

Using the map, the highway department

locates two exits between Tomstown and Mount Lookout. From Tomstown, Exit 1 is halfway to Mount Lookout, and Exit 2 is three-fourths of the

way to Mount Lookout. What are the coordinates for

Exit 2?[A] (74, 37) [B] (59, 54)

[C] (40, 37) [D] (68, 54) B

#10.In the xy-plane, (-3, 1) and

(4, 3) are endpoints of a diameter of a circle. What are the coordinates of the

center of the circle?1

[A] ( ,2)2

7[B] ( ,1)

2

[C] (1,4)7

[D] (- ,-1)2

A

#11.

(0,8)

(12, 9)

(12, 3)

(0,2)

The county planning

department designs a new

park in the shape of a

parallelogram. They put in two

diagonal walkways.

What will be the coordinates of the

intersection of the diagonal walkways?

[A] (6, 2.5) [B] (5, 6.5)

[C] (5.5, 6) [D] (6, 5.5)D

#12.

1 2

3

Given: m1 = 4 x, m 2 = (3 x + 10), and

m 3 = (2 x + 17). What is m 2?[A] 61 [B] 47

[C] 31 [D] 17 A

#13.1

A B

CD

If ABCD is a rhombus and m ABC = 80,

what is the measure of

1?

[A] 40 [B] 50

[C] 80 [D] 90

A

#14.

ABCD is a parallelogram. If

m BCD = (6 x – 20) andm DAB = (2 x + 80),

what is the value of x?[A] 8.3 [B] 12.5

[C] 15 [D] 25D

#15. M

N

O

12 in. 25

in.

28 in.

Which of the following

statements about the picture is

true?

[A] m O > m M [B] m M > m N

[C] m M < m N [D] m N < m O

B

#16.Write the following statement in “If-then” form.

“Two angles that form a linear pair are supplementary.”

[A] If two angles are supplementary, then they form a linear pair.

[B] If two angles form a linear pair, then they are supplementary.

[C] If two angles are not supplementary, then they form a linear pair.

[D] If two angles do not form a linear pair, then they are supplementary.

B

#17.What is the inverse of the statement below?

If a triangle is scalene, then no two angles are congruent.

[A] If the triangle is not scalene, then there are two congruent angles.

[B] If two angles of a triangle are congruent, then the triangle is

scalene.[C] If there are two congruent angles in a triangle, then the triangle is not

scalene.[D] If the triangle is not scalene, then there are no congruent angles. A

#18. What is the contrapositive ofthe statement below?

If a triangle is isosceles, then it has two congruent sides.

[A] If the triangle does not have two congruent sides, then it is not

isosceles.[B] If a triangle has two congruent sides,

then it is isosceles.

[C] If a triangle is isosceles, then it has two congruent sides.

[D] A triangle has two congruent sides if and only if it is isosceles.

A

#19. The conditional statement “All 45° angles are acute angles” is true.

Based on the conditional statement, which of the following

can be concluded from the additional statement “The measure

of A is 45°”?[A] A is an acute

angle.

[B] A is not an acute angle.

[C] The complement of A is not an acute angle.

[D] The supplement of A is not an acute angle.

A

#20.

If k | | m | | n,Which of the statements justifies the conclusion

that 1 2 3?

m

n

k1

2

3

t

[A] then alternate interior angles are congruent.

[B] then vertical angles are congruent.

then corresponding angles are congruent.

[D]

[C] then alternate exterior angles are congruent.

D

#21.

C

A

B D

It is given that AC AD andCAB DAB. By the reflexive property of congruent

segments, AB AB.Which reason could be used to prove

Δ ABC Δ ABD?[A] side-angle-side [B] hypotenuse-leg

[C] side-side-side [D] angle-side-angleA

#22. A BM

CDGiven: ABCD is an

isosceles trapezoid. M is the midpoint of AB.

Prove: DM CM

#22.M is the

midpoint of AB.

given

ABCD is an isosceles trap.

given

? ΔADM Δ BCM

AM MB

Def of midpoint

AD BC

Def isos.trap.

DM CM

CPCTC

#22. What is the missing statement and reason that

completes the proof?

[B] MAD MBC; the base angles of an isos. trap. are

congruent

[D] ABC DAB; if lines are parallel, s-s int.angles are

supp.

[A] AD BC; the legs of an isosceles trapezoid are

congruent.

[C] AM BM; corresponding parts of congruent triangles

are congruent

B

#23.

A

B

C

X Y

Given: Δ ABC

Prove: m BAC + m ABC + m BCA = 180

#23.1) Draw XY through B and parallel to AC.

2) XBA and ABY form a linear pair.

3) m XBA + m ABY = 180

4) m ABC + m CBY = m ABY

5) m XBA + m ABC + m CBY = 180

6) CBY BCA and XBA BAC

7) m CBY = m BCA and m XBA = m BAC

8) m BAC + m ABC + m BCA = 180

1) Exactly one parallel line can be drawn to given line from pt. not online.

2) Definition of a linear pair

3) The sum of the measures of the angles of a linear pair is 180.

4) Angle Addition Postulate

5) Substitution

6) ____________________________

7) Definition of congruent angles

8) Substitution

STATEMENTS REASONS

#23. What is the reason for statement 6 in the proof?

[A] Alternate interior angles of parallel lines are congruent.

[B] Alternate exterior angles of parallel lines are congruent.

[C] Vertical angles of parallel lines are congruent.

[D] Corresponding angles of parallel lines are congruent.

A

#24.

40°

60°

x y

What is the measure of angle y?

[A] 40

[B] 60

[C] 80

[D]100

D

#25.

A

B

CD

BD is the angle bisector of ABC. If m A = m C = 50, what is m

ABD?

[A] 30 [B] 40

[C] 45 [D] 50

B

#26. OB bisects AOC. If m AOB = (3 x + 16) and m BOC = (8 x –

14), what is m AOB?

[A] 18 [B] 26

[C] 34 [D] 48C

#27.

a

b

c

1 2

3 4

1 is supplementary to 3 under which of

the following conditions?

[A] Line a is parallel to line b.[B] Line a is parallel to line c.[C] Line a is perpendicular to

line c.[D] Line b is perpendicular to line c.

A

#28.For which type of convex polygon is the sum of the measures of the interior

angles equal to the sum of the measures of the exterior angles, one at each vertex?

[A] triangle

[B] hexagon

[C] pentagon

[D]quadrilateral

D

#29.

P

Q R

S

TU

120°

If m P = 120º, what is

the sum of the measures of

the remaining interior angles?

[A] 240

[B] 360

[C] 600

[D] 720

C

#30.

The measure of each exterior angle of a regular polygon is 45. How many

sides does the polygon have?

[A] 4 [B] 5

[C] 8 [D] 9C

#36.An isosceles triangle has vertices at (1,1) and (3, 3). Which of the following could be the coordinates of

the third vertex?

[A] (2, 1)

[B] (3, 2)

[C] (4, 1)

[D] (5, 1)

D

#37. Triangle MNO has vertices with

coordinates M (0, 2), N (1, 0), and O (5, 1). What type of triangle is

Δ MNO?[B] right

[C] scalene

[A] isosceles

[D] equilateral

C

#38. In triangle XYZ, W is between Y and Z.

The coordinates are X (2, 3),

Y (5, 0), Z (0, 0), and W (2, 0). What is

XW?[A] altitu

de[C] median

[D]perpendicular bisector of the

side

[B] angle bisector

A

#39. What is the most specific name for

quadrilateral ABCD with vertices A (0, 0), B (3, 4), C (6, 0), and

D (3, - 4)?[A]parallelogra

m[C] rhombu

s[D] trapezoi

d

[B] rectangle

C

#40.In rectangle ABCD,

diagonal AC = (3 x – 9) and

diagonal BD = (x + 13). What is

AC?[A] 16

[B]18

[C] 24

[D] 32

C

#41.In parallelogram RSTU,

the diagonals intersect at E.

If RE = 10 and SU = 16, what is RT?

[A] 20

[B] 16

[C] 10

[D] 8A

#42.

A

B C

If points A, B, C, and D form a trapezoid, how many

ordered pairs could

represent D?[A] 1 [B]2

[C]3 [D] an infinite number

D

#43. A B

CD

E F

x - 5

2x - 1

12

13

15

ABCD is a trapezoid with median EF. What is the

length of AB?

[A] 5 units

[B] 7 units

[C] 9 units

[D] 10 units

A

#45.If the sides of a triangle are 3, 7, and x, which

of the following best describes x?

[A] 4 < x < 10

[B] 4 ≤ x ≤ 10

[C] x < 10

[D] x > 4

A

#46.

A B

C

X Y

In Δ ABC, X is the midpoint of AC and Y is the midpoint of BC. If m

C = 67 and m A = 72, what is m

CYX?

[A] 36[B] 41[C] 67[D] 72

B

#48.

A triangle has interior angles that measure 3 x,(2 x + 15), and (x + 45). What is the measure of

the largest exterior angle?

[A] 160 [B] 125

[C] 120 [D] 115B

#49.

A

B

C

Y

Z

In Δ ABC, Z is the midpoint of AC and Y is

the midpoint of BC. If YZ =

21 and AB = (2 x – 4),

what is x?[A] 7.25 [B] 12.5

[C] 23 [D] 46 C

#69. Given points P (7, 5), Q (8, 3), R (0, - 1), and

(- 1, 1), which of the following is true?

[A] PQ is parallel to RS.[B] PQ is perpendicular to RS.

[C] PR is perpendicular to QS.[D] PR is parallel to QS.

A

#70.Which is an equation of a line parallel to:

2 1- x+ y=43 5

[A] -10x + 3y = 6

[B] -3x + 10y = 6

[C] 3x - 10y = -6

[D] 10x + 3y = -6

A

#71. What is the slope of the line that is

perpendicular to the line whose equation

is:3 x- 2 y = - 83

[A] 2

2[B]

3

2[C] -

3

3[D] -

2

C

#72. ABCD is a rhombus. The slope of AB is

3/8. What is the slope of DC?

8[A]

33

[B] 8

3[C] -

8

8[D] -

3

B

#73.Which of the following is an equation of the line

perpendicular to:

3x+6y=12 at (4,0)?1

[A] y = - x+22

1[B] y = x-2

2

[C] y = -2x+8 [D] y = 2x-8

D

#74.

P

k

Line k contains point P and the origin. Which is an

equation of the line that is

perpendicular to line k and

passes through point P?1

[A] y = - x3

1[B] y = x+2

3

[C] y = -3x-8 [D] y = 3x+10

D