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Worksheets

Congruent Triangles

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

Determine if the 2 triangles are congruent. If they are, state how you know.

a)

SSS

b)

HL

c)

AAS

d)

Not enough information

2.

Determine if the 2 triangles are congruent. If they are, state how you know.

a)

Not enough information

b)

SSS

c)

AAS

d)

HL

3.

Determine if the 2 triangles are congruent. If they are, state how you know.

a)

HL

b)

AAS

c)

ASA

d)

SAS

4.

Determine if the 2 triangles are congruent. If they are, state how you know.

a)

SSS

b)

ASA

c)

AAS

d)

HL

5.

Determine if the 2 triangles are congruent. If they are, state how you know.

a)

SAS

b)

SSS

c)

HL

d)

AAS

6.

Determine if the 2 triangles are congruent. If they are, state how you know.

a)

ASA

b)

HL

c)

AAS

d)

Not enough information

7.

Determine if the 2 triangles are congruent. If they are, state how you know.

a)

SSS

b)

SAS

c)

HL

d)

Not enough information

8.

Determine if the 2 triangles are congruent. If they are, state how you know.

a)

HL

b)

AAS

c)

ASA

d)

SAS

9.

Determine if the 2 triangles are congruent. If they are, state how you know.

a)

SAS

b)

ASA

c)

SSS

d)

Not enough information

10.

Determine if the 2 triangles are congruent. If they are, state how you know.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

11.

Determine if the 2 triangles are congruent. If they are, state how you know.

a)

Not enough information

b)

SSS

c)

ASA

d)

AAS

12.

Determine if the 2 triangles are congruent. If they are, state how you know.

a)

HL

b)

SAS

c)

AAS

d)

Not enough information

13.

State what additional information is required in order to know that the triangles are congruent by SSS

a)

MLNULN\angle MLN\cong\angle ULN

b)

MU or MLNULN\angle M\cong\angle U\ or\ \angle MLN\cong ULN

c)

MLUL\overline{ML}\cong\overline{UL}

d)

LNMLNU\angle LNM\cong\angle LNU

14.

State what additional information is required in order to know that the triangles are congruent by SAS

a)

VWUWVI\angle VWU\cong\angle WVI

b)

WUVI\overline{WU}\cong\overline{VI}

c)

VWWV\overline{VW}\cong\overline{WV}

d)

UVIW\overline{UV}\cong\overline{IW}

15.

State what additional information is required in order to know that the triangles are congruent by AAS

a)

WS\angle W\cong\angle S

b)

VWTS or XVRT\overline{VW}\cong\overline{TS}\ or\ \overline{XV}\cong\overline{RT}

c)

VT or WS\angle V\cong\angle T\ or\ \angle W\cong\angle S

d)

WXSR or XVRT\overline{WX}\cong\overline{SR}\ or\ \overline{XV}\cong\overline{RT}

16.

State what additional information is required in order to know that the triangles are congruent by ASA

a)

KR\angle K\cong\angle R

b)

MKPR\overline{MK}\cong\overline{PR}

c)

KLRL\overline{KL}\cong\overline{RL}

d)

KLMRLP\angle KLM\cong\angle RLP

17.

State what additional information is required in order to know that the triangles are congruent by HL

a)

PH\angle P\cong\angle H

b)

QI or RJ\angle Q\cong\angle I\ or\ \angle R\cong\angle J

c)

PQHI or QRIJ\overline{PQ}\cong\overline{HI}\ or\ \overline{QR}\cong\overline{IJ}

d)

PQHI or RPJH\overline{PQ}\cong\overline{HI}\ or\ \overline{RP}\cong\overline{JH}

18.

State what additional information is required in order to know that the triangles are congruent AAS.

a)

SQUW\overline{SQ}\cong\overline{UW}

b)

RV or SU\angle R\cong\angle V\ or\ \angle S\cong\angle U

c)

SU\angle S\cong\angle U

d)

QRWV or RSVU\overline{QR}\cong\overline{WV}\ or\ \overline{RS}\cong\overline{VU}

19.

State what additional information is required in order to know that the triangles are congruent by ASA

a)

BCLC\overline{BC}\cong\overline{LC}

b)

CDCN\overline{CD}\cong\overline{CN}

c)

BL or DN\angle B\cong\angle L\ or\ \angle D\cong\angle N

d)

BL\angle B\cong\angle L

20.

State what additional information is required in order to know that the triangles are congruent by SSS

a)

RK\angle R\cong\angle K

b)

RSKS\overline{RS}\cong\overline{KS}

c)

RSQKSQ\angle RSQ\cong\angle KSQ

d)

QRQK\overline{QR}\cong\overline{QK}