Free Printable Section 5 Review

1.

Determine the postulate or theorem you would use to prove each pair of triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Enough Info

2.

Determine the postulate or theorem you would use to prove each pair of triangles congruent.

a)

SSS

b)

SAS

c)

HL

d)

Not Enough Information

3.

Determine the postulate or theorem you would use to prove each pair of triangles congruent.

a)

ASA

b)

AAA

c)

SAS

d)

Not Enough Information

4.

Determine the postulate or theorem you would use to prove each pair of triangles congruent.

a)

SAS

b)

AAS

c)

ASA

d)

Not Enough Information

5.

Determine the postulate or theorem you would use to prove each pair of triangles congruent.

a)

ASA

b)

SSS

c)

AAS

d)

Not Enough Information

6.

∠JKN≅∠LKM by which property/theorem?

a)

CPCTC

b)

Corresponding Angles Theorem

c)

Alternate Interior Angles

d)

Vertical Angles Theorem

7.

Consider the figure below. Which of the following represents the value of y?

a)

5.0

b)

7.0

c)

8.5

d)

6.5

8.

What information is needed to prove ∆MLK≅∆PQR by SAS?

a)

KL=9.5

b)

KM=9.5

c)

KL=10

d)

KM=10

9.

Given: ΔABC ≅ ΔXYZ. Is the following statement true of false?
Segment AC ≅ Segment XY.

a)

True

b)

False

10.

Given: ΔABC ≅ ΔXYZ. Is the following statement true of false?
Segment BC ≅ segment ZY.

a)

True

b)

False

11.

Given: ΔABC ≅ ΔXYZ. Is the following statement true of false?
∠B≅∠Y

a)

True

b)

False

12.

Which of these is a valid congruency statement for these 2 triangles?

a)

∆PTW ≅ ∆HGD

b)

∆PWT ≅ ∆GDH

c)

∠G ≅ ∠P

d)

∠D ≅ ∠H

13.

What is the value of x?

a)

7

b)

11

c)

12

d)

23

14.

Solve for x.

a)

x = 5

b)

x = 20

c)

x = 3

d)

x = 9

15.

Is Angle-Angle-Angle (AAA), a valid rule for proving triangles congruent?

a)

No

b)

Sometimes

c)

Yes

d)

N/A

16.

Are the triangles congruent, if yes, why?

a)

SAS

b)

ASA

c)

SSS

d)

Not Congruent

17.

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)

18.

What is reason #3?

a)

SAS

b)

ASA

c)

SSS

d)

AAS

19.

What is reason #2?

a)

Vertical angles are congruent.

b)

Consecutive angles are congruent.

c)

Alternate interior angles are congruent.

d)

Definition of Bisect

20.

What is statement #4?

a)

∆HFG≅∆IHF

b)

∆FHG≅∆IHF

c)

∆GFH≅∆IFH

d)

∆HFG≅∆IFH

21.

What is reason #4?

a)

Reflexive Property

b)

Definition of Midpoint

c)

Vertical angles are congruent.

d)

Given

22.

What is reason #5?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

23.

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

a)

Angle Bisector Theorem

b)

Reflexive property

c)

CPCTC Theorem

d)

Proof

24.

Is the triangle with vertices (7, 3) and (-7, 11) and (5, 19) equilateral, isosceles or scalene?

a)

equilateral

b)

isosceles

c)

scalene

25.

How is the distance formula correctly written:

a)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}$

c)

$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

d)

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

26.

A(3,1) B(-2,-1) written correctly is:

a)

$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

b)

$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

c)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

d)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

27.

Classify the triangle by angles and sides.

a)

Right Scalene

b)

Acute Isosceles

c)

Obtuse Isosceles

d)

Equiangular Equilateral

28.

How many acute angles must an acute triangle have?

a)

2

b)

1

c)

4

d)

3

29.

What is the value of x?

a)

16

b)

17

c)

51

d)

78

30.

What is the length of DF?

a)

8

b)

4

c)

25

d)

71

31.

Find m<A.

a)

12

b)

24

c)

132

d)

36

32.

Given that P(-4, -2), Q(-2, 2) and R(5, 1) are vertices of a triangle, calculate the perimeter and classify the triangle.

a)

21.1, Isosceles

b)

21.1, Scalene

c)

24.3, Scalene

d)

24.3, Equilateral

33.

What is the area of the triangle?

a)

60 square units

b)

90 square units

c)

45 square units

d)

30 square units

34.

What is the reason these triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

35.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

36.

∆ABC≅∆XYZ

which is true?

a)

AB≅XY

b)

AB≅YZ

c)

AB≅XZ

d)

BC≅AB

37.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

38.

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

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

39.

If L is the midpoint of TJ, what must be true?

a)

TL=JT

b)

JL=TJ

c)

TL=LJ

d)

T is also the midpoint of JL

Section 5 Review

Total questions: 39

Worksheet time: 10hrs 45mins

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