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Worksheets

Congruent Triangles

Total questions: 13

Worksheet time: 7mins

Name
Class
Date
1.

   State what additional information is required for the triangles to be congruent for the stated reason.

a)


 FD  XV   or  DE WV\overline{FD}\ \cong\ \overline{XV}\ \ \ or\ \ \overline{DE}\ \cong\overline{WV}  

b)

 F X\angle F\cong\ \angle X  

c)

 E  W\angle E\ \cong\ \angle W  

d)

only  DE   VX\overline{DE\ }\ \cong\ \overline{VX}  

2.

State what additional information is required for the triangles to be congruent for the stated reason.

a)

\angle D\ \cong\ \angle S

b)

UT UT\ \overline{UT}\ \cong\ \overline{UT}

c)

DT ST\overline{DT}\ \ \cong\ \overline{ST}

d)

DUT SUT\angle DUT\ \cong\ \angle SUT

3.

State what additional information is required for the triangles to be congruent for the stated reason.

a)

WXV KVX\angle WXV\ \cong\ \angle KVX

b)

XK WV\overline{XK}\ \cong\ \overline{WV}

c)

XW VK\overline{XW}\ \cong\overline{VK}

d)

XY YX\overline{XY}\ \cong\ \overline{YX}

4.

State what additional information is required for the triangles to be congruent for the stated reason.

a)

B K\angle B\ \cong\ \angle K

b)

LK CB\overline{LK}\ \cong\ \overline{CB}

c)

AC JL\overline{AC}\ \cong\overline{JL}

d)

C L\angle C\cong\ \angle L

5.

State what additional information is required for the triangles to be congruent for the stated reason.

a)

J T\angle J\ \cong\ \angle T

b)

IJ ST\overline{IJ}\ \cong\ \overline{ST}

c)

TR JH\overline{TR}\ \cong\overline{JH}

d)

H R\angle H\cong\ \angle R

6.

State what additional information is required for the triangles to be congruent for the stated reason.

a)

JKL FLK or JLK FKL\angle JKL\ \cong\ \angle FLK\ or\ \angle JLK\ \cong\ \angle FKL

b)

KL KL\overline{KL}\ \cong\ \overline{KL}

c)

FK JL\overline{FK}\ \cong\overline{JL}

d)

FL JK\overline{FL}\cong\ \overline{JK}

7.

State what additional information is required for the triangles to be congruent for the stated reason.

a)

L T\angle L\ \cong\ \angle T

b)

KL UT\overline{KL}\ \cong\ \overline{UT}

c)

MK SU\overline{MK}\ \cong\overline{SU}

d)

K T\angle K\cong\ \angle T

8.

State what additional information is required for the triangles to be congruent for the stated reason.

a)

Z N\angle Z\ \cong\ \angle N

b)

XY LM\overline{XY}\ \cong\ \overline{LM}

c)

XZ LN or YZ MN\overline{XZ}\ \cong\ \overline{LN}\ \ or\ \overline{YZ}\ \cong\ \overline{MN}

9.

State what additional information is required for the triangles to be congruent for the stated reason.

a)

F L\angle F\ \cong\ \angle L

b)

DE JK\overline{DE}\ \cong\ \overline{JK}

c)

DF JL or EF KL\overline{DF}\ \cong\ \overline{JL}\ \ or\ \ \overline{EF}\ \cong\ \overline{KL}

10.

State what additional information is required for the triangles to be congruent for the stated reason.

a)

RQS DSQ\angle RQS\ \cong\ \angle DSQ

b)

QS QS\overline{QS}\ \cong\ \overline{QS}

c)

QD SR\overline{QD}\ \cong\overline{SR}

d)

RSQ DQS\angle RSQ\cong\ \angle DQS

11.

State what additional information is required for the triangles to be congruent for the stated reason.

a)

E T\angle E\ \cong\ \angle T

b)

DC DC\overline{DC}\ \cong\ \overline{DC}

c)

ED TD\overline{ED}\ \cong\overline{TD}

d)

ECD TCD\angle ECD\cong\ \angle TCD

12.

State what additional information is required for the triangles to be congruent for the stated reason.

a)

W M\angle W\ \cong\ \angle M

b)

WV MV\overline{WV}\ \cong\ \overline{MV}

c)

ED TD\overline{ED}\ \cong\overline{TD}

d)

KVM UVW\angle KVM\cong\ \angle UVW

13.

State what additional information is required for the triangles to be congruent for the stated reason.

a)

E J\angle E\ \cong\ \angle J

b)

CE HJ\overline{CE}\ \cong\ \overline{HJ}

c)

ED JI\overline{ED}\ \cong\overline{JI}

d)

D I or E J\angle D\cong\ \angle I\ \ or\ \angle E\ \cong\ \angle J