Free Printable Test Review-Triangle Inequalities, Proofs, and POC

1.

Compare QT and ST

a)

$QT\ <\ ST$

b)

$QT\ >\ ST$

c)

$QT\ =\ ST$

d)

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

2.

Find the range of possible values for x.

a)

$2\ <x<6$

b)

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

c)

$6<x<22$

d)

$2<x<22$

3.

∆ABC ≅ ∆LMN. Which statement is NOT true?

a)

LM ≅ AB

b)

∆CAB ≅ ∆NLM

c)

∠C ≅ ∠N

d)

BC ≅ ML

4.

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)

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

5.

Which is NOT a possible measure for ∠DCB?

a)

27º

b)

30º

c)

34º

d)

35º

6.

Which of the following is a possible length for segment AC

a)

10

b)

15

c)

17

d)

9

7.

Select the correct answer

a)

A

b)

B

c)

C

d)

D

8.

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

a)

Greater than

b)

Less than

c)

Equal to

d)

Half of

9.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

10.

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

a)

Less than

b)

Greater than

c)

Equal to

d)

Half of

11.

BC _____ EF

a)

<

b)

>

c)

=

d)

No conclusion can be made.

12.

Which point of concurrency is always inside the triangle?

a)

Centroid and Circumcenter

b)

Orthocenter and Incenter

c)

Incenter and Centroid

d)

Circumcenter and Incenter

13.

∆EHG≅∆KFC
Which is a true statement?

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

14.

What point of Concurrency is pictured?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

15.

Which of these can be the possible 3rd side? 12 & 24

a)

36

b)

12

c)

10

d)

20

16.

What type of point of concurrency is pictured?

a)

Circumcenter

b)

Incenter

c)

Orthocenter

d)

Centroid

17.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

18.

What type of point of concurrency is pictured?

a)

Circumcenter

b)

Centroid

c)

Incenter

d)

Orthocenter

19.

$\Delta PET\cong\Delta DOG$

Which of the following are TRUE

a)

$\angle P\cong\angle D$

b)

$\overline{TE}\cong\overline{GO}$

c)

$\angle T\cong\angle O$

d)

$\overline{TP}\cong\overline{GD}$

e)

$\overline{TE}\cong\overline{OG}$

20.

Which point of concurrency is equidistant from every vertex?

a)

Centroid

b)

Circumcenter

c)

Orthocenter

d)

Incenter

21.

Which point of concurrency is equidistant from every side?

a)

Circumcenter

b)

Centroid

c)

Orthocenter

d)

Incenter

22.

The three medians of a triangle intersect at?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

23.

The three altitudes of a triangle intersect at the?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

24.

The three angle bisectors of a triangle intersect at the?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

25.

Do these sides make a triangle? 6, 5, 9

a)

Yes

b)

No

26.

Do these sides make a triangle? 5,10,15

a)

Yes

b)

No

27.

Write an inequality showing the possible 3rd side of a triangle. 5 & 15

a)

5<x<15

b)

10<x<20

c)

15<x<5

d)

20<x<10

28.

Write an inequality for the possible 3rd side of a triangle. 25 & 35

a)

25<x<35

b)

35<x<25

c)

10<x<60

d)

60<x<10

29.

Name the point of concurrency shown.

a)

Circumcenter

b)

Incenter

c)

Supercenter

d)

Neither

30.

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

a)

4

b)

8

c)

12

d)

Not Enough Information

31.

What type of special segments are being used?

a)

Perpendicular Bisectors

b)

Angle Bisectors

c)

Medians

d)

Altitudes

32.

What is the point of concurrency?

a)

Orthocenter

b)

Circumcenter

c)

Incenter

d)

Centroid

33.

What is the point of concurrency?

a)

Orthocenter

b)

Circumcenter

c)

Incenter

d)

Centroid

34.

Which of these is called the center of gravity.

a)

orthocenter

b)

incenter

c)

circumcenter

d)

centroid

35.

The circumcenter is _________________ in the triangle.

a)

always

b)

sometimes

c)

never

d)

definitely

36.

Solve for the value of w

a)

120

b)

130

c)

115

d)

125

37.

CF, BE, and AD are the medians of the triangle. If BF =10, find AF.

a)

20

b)

10

c)

5

d)

Not Enough Information

38.

If DL = 24, then DG =

a)

16

b)

8

c)

12

d)

36

39.

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

a)

4

b)

8

c)

12

d)

Not Enough Information

40.

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

a)

6

b)

12

c)

18

d)

Not Enough Information

41.

If G is the centroid of triangle ABC and AG= 16. Find the length of GD.

a)

8

b)

16

c)

24

d)

Not Enough Information

42.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

43.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

44.

∆PRQ≅∆SRT

a)

TRUE

b)

FALSE

45.

Solve for x

a)

5

b)

4

c)

3

d)

2

46.

Are the triangles congruent, if yes, why?

a)

SAS

b)

ASA

c)

SSS

d)

Not Congruent

47.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

48.

Are the triangles congruent, if yes, why?

a)

SSS

b)

ASA

c)

AAA

d)

Not Congruent

49.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

50.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

51.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

52.

Which of the following is not a valid reason to prove congruent triangles?

a)

SSA

b)

AAS

c)

SAS

d)

SSS

53.

Which of the following is not a valid reason to prove congruent triangles?

a)

ASA

b)

SAS

c)

SSS

d)

AAA

54.

Name the angles from SMALLEST to LARGEST

a)

Q, R, P

b)

P, Q, R

c)

R, P, Q

d)

R, Q, P

55.

Find the largest angle in Δ PRQ

a)

∠R

b)

∠P

c)

∠Q

d)

∠S

56.

Where would the largest angle of a triangle be located?

a)

Across from the longest side.

b)

Across from the shortest side

c)

I need more information to get an answer.

57.

Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?

a)

12 < x < 17

b)

12 < x < 29

c)

5 < x < 17

d)

5 < x < 29

58.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

59.

Find the value of x.

a)

4

b)

1

c)

-5

d)

-1/2

60.

△BAC ≅ △QPR. If ∠B = 2x and ∠Q = 10, find the value of x.

a)

2

b)

4

c)

5

d)

-5

Test Review-Triangle Inequalities, Proofs, and POC

Total questions: 60

Worksheet time: 1hrs 13mins

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