Free Printable Geo Test 5 Review - Advanced Triangle Theorems

1.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

2.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

3.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

4.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

5.

The three altitudes of a triangle intersect at the_______________.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

6.

The three medians of a triangle intersect at the_______________.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

7.

The three perpendicular bisectors of a triangle intersect at the_______________.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

8.

The three angle bisectors of a triangle intersect at the_______________.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

9.

It is equidistant from the three vertices of the triangle.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

10.

It is equidistant from the three sides of the triangle.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

11.

It divides each median into two sections at a 2:1 ratio.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

12.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

13.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

14.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

15.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

16.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

17.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

18.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

19.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

20.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

21.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

22.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

23.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

24.

X is the centroid of the triangle. If CW = 30, find CX.

a)

20

b)

10

c)

30

d)

15

25.

X is the centroid of the triangle. If BX = 8, find BY.

a)

4

b)

8

c)

12

d)

16

26.

X is the centroid of the triangle. If ZX = 3, find AZ.

a)

3

b)

6

c)

9

d)

12

27.

What type of segment is segment AH?

a)

median

b)

altitude

c)

angle bisector

d)

perpendicular bisector

28.

What type of segment is segment CJ?

a)

median

b)

altitude

c)

angle bisector

d)

perpendicular bisector

29.

X is the centroid of the triangle. If AZ = 24, find AX.

a)

4

b)

8

c)

12

d)

16

30.

BD is a median of the triangle. Given DC=11, what is the length of AD?

a)

11

b)

22

c)

5.5

d)

3.67

31.

In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
If XP = 8, then PC = _______

a)

2.7

b)

12

c)

5

d)

4

32.

In ΔXYZ, YB, XC, and ZA are medians.

If YC= 10, then ZC = _______

a)

15

b)

5

c)

20

d)

10

33.

HK is an altitude in ΔGHI.
What is the measure of ∠HKG?

a)

60°

b)

180°

c)

90°

d)

360°

34.

If DL = 24, then DG =

a)

16

b)

8

c)

12

d)

36

35.

Match the following

a)

1.

Construction of Perpendicular Bisector

b)

2.

Construction of Angle Bisector

c)

3.

Construction of Median

d)

4.

Copy an Angle

e)

5.

Construction of Altitude

36.

Given the diagram, complete the statement.

$\overline{CD}$ is the altitude from C to ___.

a)

$\overline{CD}$

b)

$\overline{AB}$

c)

$\overline{AC}$

d)

$\overline{KB}$

37.

What point of concurrency is constructed here?

a)

Incenter

b)

Orthocenter

c)

Circumcenter

d)

Centroid

38.

What point of concurrency is constructed here?

a)

Incenter

b)

Orthocenter

c)

Circumcenter

d)

Centroid

39.

What point of concurrency is constructed here?

a)

Incenter

b)

Orthocenter

c)

Circumcenter

d)

Centroid

40.

What point of concurrency is constructed here?

a)

Incenter

b)

Orthocenter

c)

Circumcenter

d)

Centroid

41.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

42.

These lines are...

y = 3x +2

y = 3x - 3

a)

Parallel

b)

Perpendicular

c)

Neither

43.

These lines are...

$y=-\frac{2}{3}x+2$

$y=\frac{3}{2}x+9$

a)

Parallel

b)

Perpendicular

c)

Neither

44.

Choose ALL the lines that are PARALLEL to:

$y=\frac{2}{9}x-7$

a)

$y=\frac{2}{9}x+8$

b)

$y=\frac{9}{2}x-12$

c)

$-2y=9x+8$

d)

$9y=2x-18$

45.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

46.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

47.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

a)

$y=-\frac{1}{3}x-5$

b)

y = 3x-29

c)

$y=\frac{1}{3}x-5$

d)

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

48.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5(x - 2)

d)

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

49.

Arrange the angles of the triangle in ascending order.

a)

∠W, ∠U, ∠V

b)

∠V, ∠U, ∠W

c)

∠U, ∠W, ∠V

d)

∠U, ∠V, ∠W

50.

Arrange the angles of the triangle in descending order.

a)

∠C, ∠A, ∠T

b)

∠A, ∠T, ∠C

c)

∠A, ∠C, ∠T

d)

∠C, ∠T, ∠A

51.

Given: ∆CAT, CA=7cm, CT=24cm and AT=25cm

Arrange the angles of the triangle in ascending order.

a)

∠T, ∠A, ∠C

b)

∠T, ∠C, ∠A

c)

∠C, ∠T, ∠A

d)

∠C, ∠A, ∠T

52.

Given: ∆MEN, ME=0.15m, MN=0.11m and EN=0.10m

Arrange the angles of the triangle in descending order.

a)

∠N, ∠M, ∠E

b)

∠N, ∠E, ∠M

c)

∠M, ∠E, ∠N

d)

∠M, ∠N, ∠E

53.

Given: ∆LOG, LO=0.55cm, LG=0.35cm and OG=0.4cm

Arrange the angles of the triangle in ascending order.

a)

∠G, ∠O, ∠L

b)

∠G, ∠L, ∠O

c)

∠O, ∠G, ∠L

d)

∠O, ∠L, ∠G

54.

m∠O _______ m∠K

a)

<

b)

>

c)

=

d)

I don't know.

55.

m∠T _____ m∠U

a)

<

b)

>

c)

=

d)

I don't know.

56.

m∠KAU _____ m∠OAT

a)

<

b)

>

c)

=

d)

I don't know.

57.

m∠KAU _____ m∠O

a)

<

b)

>

c)

=

d)

I don't know.

58.

m∠U _____ m∠T

a)

<

b)

>

c)

=

d)

I don't know.

59.

What is the largest angle?

a)

J

b)

K

c)

L

60.

What is the smallest angle?

a)

∠J

b)

∠K

c)

∠L

61.

What is the largest angle?

a)

∠K

b)

∠L

c)

∠M

62.

What is the biggest side?

a)

EF

b)

FG

c)

EG

63.

What is the smallest side?

a)

EF

b)

FG

c)

EG

64.

What is the smallest side?

a)

LM

b)

MN

c)

LN

65.

A charter plane travels from Barrow, Alaska, to Fairbanks. From Fairbanks, it flies to Nome,
and then back to its starting point in Barrow.
Which of the three legs of the trip is
the longest?

a)

Fairbanks to Nome

b)

Nome to Barrow

c)

Barrow to Fairbanks

d)

Anchorage to Fairbanks

66.

Three cell phone towers are shown at the right. The measure of angle M is 10° less than the measure of angle K. The measure of angle L is 1° greater than the measure of angle K. Which two towers are closest together?

a)

M and L

b)

L and K

c)

K and M

d)

L and J

67.

Does a triangle with these side lengths exist?
15, 12, 9

a)

Yes

b)

No

c)

I don't know.

68.

Can the sides of a triangle have lengths 3, 4, and 9?

a)

Yes

b)

No

69.

Can the sides of a triangle have lengths 4, 11, and 13?

a)

Yes

b)

No

70.

What is a possible third side to a triangle with side lengths of 13 and 4?

a)

9

b)

12

c)

8

d)

5

71.

What is a possible third side to a triangle with side lengths of 5 and 5?

a)

9

b)

10

c)

11

d)

12

72.

Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?

a)

6

b)

7

c)

5

d)

4

73.

Which of the following does not represent the lengths of the sides of a triangle?

a)

2 cm, 6 cm, 7 cm

b)

5 cm, 2 cm, 5 cm

c)

5 cm, 5 cm, 8 cm

d)

3 cm, 10 cm, 15 cm

74.

What is the correct order of angles?

a)

m∡DFE > m∡FED > m∡EDF

b)

m∡EDF > m∡FED > m∡DFE

75.

Smallest angle to largest angle

a)

∠R, ∠P, ∠Q

b)

∠R, ∠Q, ∠P

c)

∠Q, ∠R, ∠P

d)

∠P, ∠R, ∠Q

76.

From longest side to shortest side.

a)

BC, AB, AC

b)

BC, AC, AB

c)

AB, AC, BC

d)

AC, AB, BC

77.

The sum of the lengths of any two sides of a triangle is _____ than the third side

a)

less

b)

greater

c)

equal

78.

Does the sides 8, 9, 10 make a triangle?

a)

yes

b)

no

79.

Does the sides 1, 1, 2 make a triangle?

a)

yes

b)

no

80.

Does the sides 6, 9, 8make a triangle?

a)

yes

b)

no

81.

Does the side 3, 4, 9 make a triangle?

a)

yes

b)

no

82.

Does the sides 12, 4, 17 make a triangle?

a)

yes

b)

no

83.

Does the sides 8, 7, 2 make a triangle?

a)

yes

b)

no

84.

Does the sides 14, 3, 9 make a triangle?

a)

yes

b)

no

85.

Does the sides 12, 18, 2 make a triangle?

a)

yes

b)

no

86.

Does the sides 3, 2, 1 make a triangle?

a)

yes

b)

no

87.

The lengths of two sides are given (8, 5). What are the possible length of the third side? Between what two numbers

a)

Between 5 and 8

b)

Between 3 and 13

c)

Between 3 and 5

d)

Between 5 and 13

88.

The lengths of two sides are given (9, 2). What are the possible length of the third side? Between what two numbers

a)

Between 0 and 2

b)

Between 2 and 9

c)

Between 7 and 11

89.

The lengths of two sides are given (10, 10). What are the possible length of the third side? Between what two numbers

a)

Between 0 and 10

b)

Between 0 and 20

c)

Between 10 and 11

d)

10

90.

The lengths of two sides are given (4, 13). What are the possible length of the third side? Between what two numbers

a)

Between 9 and 17

b)

Between 0 and 13

c)

Between 4 and 13

91.

The lengths of two sides are given (27, 39). What are the possible length of the third side? Between what two numbers

a)

Between 12 and 66

b)

Between 27 and 39

c)

Between 12 and 67

92.

The lengths of two sides are given (6, 15). What are the possible length of the third side? Between what two numbers

a)

Between 6 and 15

b)

Between 9 and 21

c)

Between 6 and 21

93.

If a triangle has the following lengths XZ= 18, XY=4. What is the length of YZ?

a)

12

b)

4

c)

14

d)

21

94.

Mrs. Barto has a pet rabbit and wants to build a pen for it. She has 3 pieces of lumber: 3ft, 7ft, and 8ft. Can she build a closed triangular pen with these three boards? (Will these three sides make a triangle?)

a)

Yes

b)

No

95.

Can the following side measures form a triangle?
3, 5, 8

a)

Yes

b)

No

96.

What is the range of values of x for a triangle's third side given side measures of 8 and 15?

a)

between 8 and 15

b)

between 7 and 23

c)

less than 7, greater than 23

97.

What is the range of values of x for a triangle's third side given side measures of 4 and 12?

a)

between 8 and 16

b)

less than 4, greater than 12

c)

between 4 and 12

98.

Will these three sides form a triangle?

a)

yes

b)

no

99.

Will these line segments form a triangle?

a)

yes

b)

no

100.

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft

a)

more than 6 but less than 20

b)

more than 20 but less than 6

c)

less than 6 but more than 20

101.

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm

a)

more than 3 but less than 11

b)

more than 11 but less than 3

c)

less than 3 but more than 11

102.

In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches. Which of the following could be the length of side AC?

a)

16 inches

b)

5 inches

c)

32 inches

d)

29 inches

103.

Will these side lengths form a triangle?

a)

yes

b)

no

104.

Determine if it is possible to form a triangle with the given side lengths. 15 in., 12 in., 2 in.

a)

yes

b)

no

105.

Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd

a)

yes

b)

no

106.

Does a triangle with these side lengths exist?
15, 12, 9

a)

Yes

b)

No

c)

I don't know.

107.

It is called the HINGE theorem, because...

a)

the vertex of the angle acts like a hinge to open the triangle.

b)

it's named after Joseph Hinge, the man who discovered it.

c)

"hinge" is the Spanish word for angle.

d)

the triangle makes a hinge shape, like a tent.

108.

Compare $m\angle ACD\ and\ m\angle GDE$

a)

$m\angle ACB\ >\ m\angle GDE$

b)

$m\angle ACD\ <\ m\angle GDE$

c)

$m\angle ACB\ =\ m\angle GDE$

d)

$\angle ACB\ \cong\ \angle GDE$

109.

Compare QT and ST

a)

$QT\ <\ ST$

b)

$QT\ >\ ST$

c)

$QT\ =\ ST$

d)

$\overline{QT}\ \cong\ \overline{ST}$

110.

Find the range of possible values for x.

a)

$\frac{7}{2}<x<24$

b)

$x<6$

c)

$24<x$

d)

$\frac{11}{2}<x<6$

111.

Find the range of possible values of x.

a)

$\frac{5}{3}<x<8$

b)

$-\frac{3}{2}<x>8$

c)

$\frac{32}{3}<x<27$

d)

$27<x<37$

112.

Find the range of possible values for x.

a)

$2\ <x<6$

b)

$6<x<15\ \frac{1}{3}$

c)

$6<x<22$

d)

$2<x<22$

113.

Find the range of possible values of x.

a)

$-20<x<21$

b)

$8<x<37$

c)

$34<x<37$

d)

$8<x<24$

114.

Find the range of possible values for x

a)

$x>7$

b)

$-\frac{17}{3}<x>7$

c)

$-\frac{17}{3}<x<7$

d)

$x<7$

115.

Which inequality relates $\angle FBG\ and\ \angle BFA$ ?

a)

$m\angle FBG\ <m\angle BFA$

b)

$m\angle FBG\ >m\angle BFA$

c)

$m\angle FBG\ \ge m\angle BFA$

d)

$m\angle FBG\ \le m\angle BFA$

116.

Which inequality relates $\angle GBC\ and\ \angle FBA$ ?

a)

$m\angle GBC\ <m\angle FBA$

b)

$m\angle GBC\ >\ m\angle FBA$

c)

$m\angle GBC\ \le\ m\angle FBA$

d)

$m\angle GBC\ \ge\ m\angle FBA$

117.

Four students are doing a scavenger hunt starting at the water fountain. They disagree one the directions and split up. Their paths are shown in the diagram. Which pair is closest to the fountain when they stop?

a)

Luther and Stephanie

b)

Mario and Lee

118.

Which is NOT a possible measure for ∠DCB?

a)

27º

b)

30º

c)

34º

d)

35º

119.

Which of the following is a possible length for segment AC

a)

10

b)

15

c)

17

d)

9

120.

Select the correct answer

a)

A

b)

B

c)

C

d)

D

121.

Select the correct answer

a)

A

b)

B

c)

C

d)

D

122.

Using the hinge theorem, we can say that AB _____ DC

a)

Greater than

b)

Less than

c)

Equal to

d)

Half of

123.

Using the hinge theorem, we can say that Angle 1 _____ Angle 2.

a)

Less than

b)

Greater than

c)

Equal to

d)

Half of

124.

Using the hinge theorem, we can say that Angle 1 _____ Angle 2.

a)

Less than

b)

Greater than

c)

Equal to

d)

Half of

125.

BC _____ EF

a)

<

b)

>

c)

=

d)

No conclusion can be made.

126.

What are the possible values for x?

a)

x < 16

b)

4 < x < 16

c)

x < 40

d)

4 < x < 40

127.

It is called the HINGE theorem, because...

a)

the vertex of the angle acts like a hinge to open the triangle.

b)

it's named after Joseph Hinge, the man who discovered it.

c)

"hinge" is the Spanish word for angle.

d)

the triangle makes a hinge shape, like a tent.

128.

Compare $m\angle ACD\ and\ m\angle GDE$

a)

$m\angle ACB\ >\ m\angle GDE$

b)

$m\angle ACD\ <\ m\angle GDE$

c)

$m\angle ACB\ =\ m\angle GDE$

d)

$\angle ACB\ \cong\ \angle GDE$

129.

Compare QT and ST

a)

$QT\ <\ ST$

b)

$QT\ >\ ST$

c)

$QT\ =\ ST$

d)

$\overline{QT}\ \cong\ \overline{ST}$

130.

Find the range of possible values for x.

a)

$\frac{7}{2}<x<24$

b)

$x<6$

c)

$24<x$

d)

$\frac{11}{2}<x<6$

131.

Find the range of possible values of x.

a)

$\frac{5}{3}<x<8$

b)

$-\frac{3}{2}<x>8$

c)

$\frac{32}{3}<x<27$

d)

$27<x<37$

132.

Find the range of possible values for x.

a)

$2\ <x<6$

b)

$6<x<15\ \frac{1}{3}$

c)

$6<x<22$

d)

$2<x<22$

133.

Find the range of possible values of x.

a)

$-20<x<21$

b)

$8<x<37$

c)

$34<x<37$

d)

$8<x<24$

134.

Find the range of possible values for x

a)

$x>7$

b)

$-\frac{17}{3}<x>7$

c)

$-\frac{17}{3}<x<7$

d)

$x<7$

135.

Which inequality relates $\angle FBG\ and\ \angle BFA$ ?

a)

$m\angle FBG\ <m\angle BFA$

b)

$m\angle FBG\ >m\angle BFA$

c)

$m\angle FBG\ \ge m\angle BFA$

d)

$m\angle FBG\ \le m\angle BFA$

136.

Which inequality relates $\angle GBC\ and\ \angle FBA$ ?

a)

$m\angle GBC\ <m\angle FBA$

b)

$m\angle GBC\ >\ m\angle FBA$

c)

$m\angle GBC\ \le\ m\angle FBA$

d)

$m\angle GBC\ \ge\ m\angle FBA$

137.

Four students are doing a scavenger hunt starting at the water fountain. They disagree one the directions and split up. Their paths are shown in the diagram. Which pair is closest to the fountain when they stop?

a)

Luther and Stephanie

b)

Mario and Lee

138.

Which is NOT a possible measure for ∠DCB?

a)

27º

b)

30º

c)

34º

d)

35º

139.

Which of the following is a possible length for segment AC

a)

10

b)

15

c)

17

d)

9

140.

Select the correct answer

a)

A

b)

B

c)

C

d)

D

141.

Select the correct answer

a)

A

b)

B

c)

C

d)

D

142.

Using the hinge theorem, we can say that AB _____ DC

a)

Greater than

b)

Less than

c)

Equal to

d)

Half of

143.

Using the hinge theorem, we can say that Angle 1 _____ Angle 2.

a)

Less than

b)

Greater than

c)

Equal to

d)

Half of

144.

Using the hinge theorem, we can say that Angle 1 _____ Angle 2.

a)

Less than

b)

Greater than

c)

Equal to

d)

Half of

145.

BC _____ EF

a)

<

b)

>

c)

=

d)

No conclusion can be made.

146.

What are the possible values for x?

a)

x < 16

b)

4 < x < 16

c)

x < 40

d)

4 < x < 40

147.

Which one of these represent SAS?

a)

b)

c)

d)

e)

148.

Which one of these represent SSS?

a)

b)

c)

d)

e)

149.

Order the sides of the triangle from shortest to longest.

a)

UV, UT, VT

b)

UV, VT, UT

c)

VT, UT, UV

d)

VT, UV, UT

150.

Order the sides of the triangle from longest to shortest.

a)

KL, ML, KM

b)

KL, KM, ML

c)

KM, ML, KL

d)

KM, KL, ML

151.

Order the angles from smallest to largest.

a)

∠D, ∠E, ∠C

b)

∠D, ∠C, ∠E

c)

∠C, ∠E, ∠D

d)

∠C, ∠D, ∠E

152.

Order the angles from largest to smallest

a)

∠S, ∠R, ∠T

b)

∠S, ∠T, ∠R

c)

∠T, ∠R, ∠S

d)

∠T, ∠S, ∠R

153.

Which of the following is a possible length for segment AC

a)

10

b)

15

c)

17

d)

9

154.

Using the hinge theorem, we can say that AB _____ DC

a)

Greater than

b)

Less than

c)

Equal to

d)

Half of

155.

Using the hinge theorem, we can say that Angle 1 _____ Angle 2.

a)

Less than

b)

Greater than

c)

Equal to

d)

Half of

156.

Can a triangle be formed with line segments that have lengths 2, 8 and 14 units?

a)

No, because these line segments wouldn't satisfy the triangle inequality theorem

b)

No, because there are only two sides to a triangle

c)

Yes, because these line segments satisfy the triangle inequality theorem

d)

Yes, because 8< 14

157.

Can the following lengths be made into a triangle?
4 cm, 7 cm, 2 cm

a)

Yes

b)

No

c)

180º

d)

Complementary

158.

Two sides of a triangle are 14 cm and 19 cm. What is a possible length for the third side?

a)

5 cm

b)

11 cm

c)

33 cm

d)

40 cm

159.

Compare measure of angle Y and measure of angle M.

a)

measure of angle Y = measure of angle M

b)

measure of angle Y > measure of angle M

c)

measure of angle Y < measure of angle M

d)

Not enough information is given.

160.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

161.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Transitive Property, SSS(Side-Side-Side)

d)

Reflexive Property, SSS(Side-Side-Side)

162.

What is the "statement" for step 3 of the proof?

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

163.

What is the "reason" for step 4 of the proof?

a)

proof

b)

AAS
≅ Thrm

c)

ASA
≅ Thrm

d)

SAS
≅ Thrm

164.

What is the "statement" for step 2 of the proof?

a)

∆BAC≅∆DAC

b)

BC=DC

c)

∡B≅∡D

d)

∡BAC≅∡DAC

165.

What is the "reason" for step 5 of the proof?

a)

Vertical Angle Theorem

b)

proof

c)

def. of angle bisector

d)

CPCTC

166.

Identify the missing statement or reason

a)

Given

b)

Vertical Angles Theorem

c)

Definition of Angle Bisector

d)

Alternate Interior Angles Theorem

167.

Identify the missing statement or reason

a)

Definition of Angle Bisector

b)

Alternate Interior Angles Theorem

c)

Reflexive Property

d)

Definition of Midpoint

168.

What would be the correct "given" statements for this diagram?

a)

T is the midpoint of segment BG and
∡B≅∡G

b)

∡B≅∡G and ∡A≅∡W

c)

T is the midpoint of segment BG and ∡A≅∡W

d)

T is the midpoint of segment AW and ∡A≅∡W

169.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

170.

What is the difference between a theorem and a postulate?

a)

A postulate is a statement that is assumed true without proof while a theorem is a true statement that can be proven.

b)

A theorem is a statement that is assumed true without proof while a postulate is a true statement that can be proven.

171.

Why are proofs useful?

a)

They use logical deductions to prove a statement true.

b)

They list given statements.

c)

They show statements.

Geo Test 5 Review - Advanced Triangle Theorems

Total questions: 171

Worksheet time: 7hrs 46mins

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