Free Printable What information is given and what can you logically conclude?

1.

What information is given?

a)

$\overline{AB}\cong\overline{WP}$

b)

$\overline{BR}\cong\overline{RP}$

c)

$\overline{AB}\cong\overline{BR}$

d)

$\overline{WP}\cong\overline{PR}$

e)

$\overline{AR}\cong\overline{WR}$

2.

What information can be logically concluded?

(a) because (b)

Choose from the below words

$\angle ARB\cong\angle PRW$

(Vertical Angles)

3.

Now that you know that $\angle ARB\cong\angle PRW$ because of vertical angles, is there enough info to say the triangles are congruent?

(a) because (b)

Choose from the below words

Can't tell

SSA

Yes

No

AAS

SSS

AAA

SAS

ASA

at least one corresponding side is not congruent.

4.

What information is given?

a)

$\overline{RQ}\cong\overline{TS}$

b)

$\overline{QT}\cong\overline{RS}$

c)

$\overline{TR}\cong\overline{RT}$

d)

The two triangles form a square.

5.

What information can you logically conclude?

(a) because (b)

Choose from the below words

$\overline{TR}\cong\overline{RT}$

(Reflexive Property)

6.

Now that you know that $\overline{TR}\cong\overline{RT}$ because of the Reflexive Property, is there enough info to say the triangles are congruent?

(a) because (b)

Choose from the below words

Yes

SSA

No

AAS

SSS

AAA

SAS

ASA

at least one corresponding side is not congruent.

Can't tell

7.

What information can you conclude? (Include reason)

a)

$\overline{AB}\cong\overline{CB}$ , Reflexive Property

b)

$\overline{AD}\cong\overline{CD}$ , Reflexive Property

c)

$\overline{DB}\cong\overline{DB}$ , Reflexive Property

d)

$\angle ADB\cong\angle BDC$ , Third Angle Theorem

e)

$\angle ABD\cong\angle CBD$ , Third Angle Theorem

8.

What information is needed to conclude by AAS?

a)

$\angle ADB\cong\angle CDB$

b)

$\angle ABD\cong\angle CBD$

c)

$\overline{BD}\cong\overline{BD}$

d)

$\overline{AD}\cong\overline{CD}$

9.

What information do you need to conclude by AAS?

a)

$\angle F\cong\angle Y$

b)

$\overline{FR}\cong\overline{GP}$

c)

$\angle F\cong\angle G$

d)

$\overline{FD}\cong\overline{GY}$

10.

What do you need to conclude by ASA?

a)

$\overline{FR}\cong\overline{GP}$

b)

$\overline{FD}\cong\overline{GY}$

c)

$\angle F\cong\angle G$

d)

$\angle D\cong\angle Y$

11.

What information do you need to conclude by ASA?

a)

$\angle R\cong\angle R$

b)

$\angle QRE\cong\angle GRW$

c)

$\angle Q\cong\angle G$

d)

$\angle Q\cong\angle W$

12.

What do you need to conclude by SAS?

a)

$\overline{AB}\cong\overline{CB}$

b)

$\overline{DB}\cong\overline{DB}$

c)

$\angle A\cong\angle C$

d)

$\overline{CD}\cong\overline{AD}$

e)

$\angle ADB\cong\angle CDB$

13.

What do you need to have SSS?

a)

$\overline{FD}\cong\overline{GY}$

b)

$\overline{FR}\cong\overline{YG}$

c)

$\overline{DR}\cong\overline{PY}$

d)

$\angle F\cong\angle G$

e)

$\angle R\cong\angle P$

14.

Draw the information YOU KNOW must be true.

15.

Now that you know that $\angle QRE\cong\angle GRW$ , what other information do you need to say the triangles are congruent? And by what shortcut?

4 lines

16.

What company was founded in 1998?

a)

Amazon

b)

Apple

c)

Google

d)

Microsoft

17.

Who was the 2nd president of the united states?

a)

Thomas Jefferson

b)

John Adams

c)

George Washington

d)

Abraham Lincoln

18.

Given: $\angle V\cong\angle W$ , $\angle VXU\cong\angle WXU$

Prove: $\Delta VUX\cong\Delta WUX$

a)

Vertical Angles

b)

Third Angle Theorem

c)

SSS

d)

ASA

e)

AAS

f)

$\Delta VUX\cong\Delta WUX$

g)

Reflexive Property

h)

$\overline{XU}\cong\overline{XU}$

i)

$\angle V\cong\angle W,\ \angle VXU\cong\angle WXU$

j)

given

1

2

3

4

5

6

1)

2)

3)

4)

5)

6)

19.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

20.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

21.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

22.

Name the postulate, if possible, that makes the triangles congruent. Given: AM ≈ MB and everything that is marked congruent.

a)

SAS

b)

ASA

c)

AAS

d)

HL

23.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

24.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

25.

How are these two triangles congruent?

a)

AAS

b)

ASA

c)

Not enough information

d)

SAS

26.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

27.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

28.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

Cannot be proven congruent

c)

SAS

d)

SSS

29.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

30.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

31.

a)

Congruent by HL

b)

Congruent by SAS

c)

Congruent by SSS

d)

Not Necessarily Congruent

32.

What postulate proves these triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

ASA

33.

These triangles are congruent. If ∠E is 45^o and ∠B is 55^o what is the measure of ∠C?

a)

45^o

b)

55^o

c)

80^o

d)

100^o

34.

If ΔDEF ≅ ΔRST, then we can conclude that DE = what?

a)

ST

b)

RS

c)

DF

d)

RT

35.

If ΔABC ≅ ΔXYZ, which statement is always true?

a)

AB = AZ

b)

∠B ≅ ∠Y

c)

∠X ≅ ∠C

d)

AC = XC

36.

What is the length of segment CM?

a)

8m

b)

15m

c)

11m

d)

32°

37.

What is the length of segment BM?

a)

8m

b)

15m

c)

11m

d)

32°

38.

What is the value of y?

a)

3

b)

8

c)

15

d)

12

39.

What is the value of y?

a)

3

b)

8

c)

15

d)

12

40.

What is the value of x?

a)

7

b)

11

c)

12

d)

23

What information is given and what can you logically conclude?

Total questions: 40

Worksheet time: 2hrs 25mins

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