Free Printable Unit 4 Review - All about Triangles

1.

What is the

m\angle U

?

(a)

2.

What is the

m\angle T

?

(a)

3.

What is the measure of

EF

?

(a)

4.

Find the value of x

(a)

5.

Find the value of x.

(a)

6.

Find the value of x

(a)

7.

Find x

a)

3

b)

4

c)

2

d)

10

8.

What is the measure of angle B?

a)

52

b)

94

c)

80

d)

77

9.

Find x

a)

10

b)

32

c)

116

d)

16

10.

Match the following

a)

1.

SSS

b)

2.

SAS

c)

3.

AAS

d)

4.

ASA

11.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

12.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

13.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

14.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

15.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

16.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

17.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

18.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

19.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

20.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

21.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

22.

What is the correct postulate to prove these two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

23.

If ΔABC ≅ ΔXYZ, which statement is always true?

a)

AB = YZ

b)

∠C ≅ ∠Z

c)

∠B ≅ ∠C

d)

AC = XY

24.

If ΔABC ≅ ΔXYZ, which statement is always true?

a)

XY = AB

b)

∠A ≅ ∠Z

c)

∠B ≅ ∠A

d)

AC = YZ

25.

If ΔABC ≅ ΔXYZ, which statement is always true?

a)

BC = XZ

b)

∠B ≅ ∠Z

c)

∠A ≅ ∠X

d)

AB = YZ

26.

Which would be the best classification for the triangle shown?

a)

right isosceles

b)

obtuse scalene

c)

obtuse isosceles

d)

acute scalene

27.

Which would be the best classification for the triangle shown?

a)

acute isosceles

b)

right scalene

c)

acute scalene

d)

obtuse scalene

28.

a)

Equilateral Triangle

b)

Scalene Triangle

c)

Isosceles Triangle

d)

Right Triangle

29.

What type of triangle is this?

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Obtuse

30.

Solve for x THEN find the degrees for angle A.

a)

44^o

b)

96^o

c)

-14^o

d)

63^o

31.

Find the value of x.

a)

A

b)

B

c)

C

d)

D

32.

What is the measure of angle A in the triangle?

a)

116*

b)

25*

c)

62*

d)

54*

33.

Use the Triangle Sum Theorem to find the measure of angle A in degrees.

a)

91°

b)

120°

c)

30°

d)

35°

34.

If one angle is 43^o and another is 63.5^o, what is the missing angle?

a)

52^o

b)

74.5^o

c)

73.5^o

d)

100.5⁰

35.

Find the measure of the indicated angle.

a)

145 degrees

b)

24 degrees

c)

20 degrees

d)

21 degrees

36.

If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...

a)

80

b)

100

c)

60

d)

90

37.

Triangle KLM is equilateral with KM = x + 2, LM = 12 – x, and KL = 4x – 13.

Find the value of x.

(Hint: draw a picture)

a)

2

b)

3

c)

4

d)

5

38.

Is the segment shown a median, perpendicular bisector, or an altitude?

a)

Median

b)

perpendicular bisector

c)

Altitude

d)

None of the above

39.

$Given:\ \overline{WX}\cong\overline{JK},\ \overline{YX}\cong\overline{IK},\ \angle X\cong\angle K$
Which of the following lists the correct triangle congruence?

a)

$\Delta WXY\cong\Delta KIJ$

b)

$\Delta WXY\cong\Delta IKJ$

c)

$\Delta WXY\cong\Delta JKL$

d)

$\Delta WXY\cong\Delta IJK$

40.

Are the triangles congruent, if yes, why?

a)

SAS

b)

ASA

c)

AAS

d)

Not congruent

41.

Are the triangles congruent, if yes, why?

a)

HL

b)

ASA

c)

AAS

d)

Not Congruent

42.

What is reason #3?

a)

SAS

b)

ASA

c)

SSS

d)

AAS

43.

What is statement #4?

a)

∆HFG≅∆IHF

b)

∆FHG≅∆IHF

c)

∆GFH≅∆IFH

d)

∆HFG≅∆IFH

44.

What is statement #6?

a)

BC≅BC

b)

BC≅DA

c)

∠BCD≅BAC

d)

AB≅CD

45.

What is reason #4?

a)

Reflexive Property

b)

Definition of Midpoint

c)

Vertical angles are congruent.

d)

Given

46.

Which option does not work to prove triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

HL

e)

SSA

47.

What does CPCTC stand for?

a)

Congruent parts of congruent triangles are congruent

b)

Corresponding parts of congruent triangles are congruent

c)

Corresponding parts of corresponding triangles are corresponding

d)

Corresponding parts of congruent triangles are Canadian.

48.

If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____

a)

∠K

b)

∠M

c)

∠L

d)

∠Z

49.

Identify the missing statement or reason

a)

Given

b)

Vertical Angles are congruent

c)

Definition of Angle Bisector

d)

Reflexive property

50.

Find the value of x

a)

6

b)

12

c)

2

d)

72

51.

1) Determine whether AB is a perpendicular bisector, angle bisector, altitude, or median.

a)

angle bisector

b)

median

c)

altitude

d)

perpendicular bisector

52.

2) Determine whether AB is a perpendicular bisector, angle bisector, altitude, or median.

a)

angle bisector

b)

median

c)

altitude

d)

perpendicular bisector

53.

3) Determine whether AB is a perpendicular bisector, angle bisector, altitude, or median.

a)

angle bisector

b)

median

c)

altitude

d)

perpendicular bisector

54.

4) List the sides in order from smallest to largest.

a)

RS, TS, TR

b)

TS, RS, TR

c)

TR, TS, RS

d)

TS, TR, RS

55.

5) List the angles from smallest to largest.

a)

<G, <O, <F

b)

<O, <G, <F

c)

<G, <F, <O

d)

<F, <O, <G

56.

Is it possible to have triangle with given lengths?

10m, 12m, 20m.

a)

yes

b)

no

c)

cannot be determined

57.

Two side lengths for a triangle are given. Write an inequality to show the range of values, x, for the third side.

4in, 7in.

a)

1<x<9

b)

2<x<10

c)

3<x<11

d)

4<x<12

58.

Is it possible to have a triangle with the given lengths?

5in, 8in, 15in

a)

yes

b)

no

c)

cannot be determined

59.

Can these sides form a triangle? 2, 9, 5

a)

Yes

b)

No

60.

Which of the following could be the third side of a triangle with sides 5.2 and 7.2? Check all that apply.

a)

21

b)

2

c)

9

d)

12.4

e)

11

61.

Which of the following could NOT be the third side of a triangle with sides 35 and 14? Check all that apply.

a)

21

b)

48

c)

26

d)

35

e)

14

62.

What is the LONGEST side in this figure? Be careful...this is tricky!

a)

AB

b)

BC

c)

CD

d)

DA

e)

DB

63.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$10,6$

a)

$4<x<16$

b)

$5<x<15$

c)

$6<x<15$

d)

$4<x<14$

64.

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

a)

3 < x < 11

b)

4 < x < 7

c)

7 < x < 4

d)

11 < x < 3

65.

The figure is an example of a(n) ...

a)

angle bisector

b)

midsegment

c)

altitude

d)

median

66.

The centroid cuts each median into two segments. The shorter segment is ___________ the length of the entire segment.

a)

one third

b)

two thirds

c)

three fourths

d)

one half

67.

The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?

a)

Midsegment

b)

Incenter

c)

Circumcenter

d)

Centriod

68.

When you draw the medians of a triangle it creates the point of concurrency called the _____________.

a)

Centroid

b)

Incenter

c)

Perpendicular Bisectors

d)

Altitude

69.

The altitudes of a triangle intersect at the _________________________.

a)

Centriod

b)

Circumcenter

c)

Incenter

d)

Orthocenter

70.

A point where 3 more lines intersect.

a)

concurrent

b)

point of concurency

c)

equidistant

d)

midpoint

Unit 4 Review - All about Triangles

Total questions: 70

Worksheet time: 1hrs 10mins

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