Free Printable Triangle Congruence: Finding Missing Info

1.

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

a)

DC ≅ KB or BD ≅ CK

b)

CB ≅ BC or BD ≅ CK

c)

∠CBD ≅ ∠BCK

d)

∠DCB ≅ ∠KBC or ∠CBD ≅ ∠BCK

2.

State what additional information is required in order to know that the triangles are congruent for the reason given. ASA

a)

∠H ≅ ∠I or ∠F ≅ ∠K

b)

∠F ≅ ∠K

c)

∠G ≅ ∠J

d)

HG ≅ IJ or FH ≅ KI

3.

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

a)

XY ≅ KY or ZX ≅ ZK

b)

∠YZX ≅ ∠YZK

c)

∠XYZ ≅ ∠KYZ or ∠YZX ≅ ∠YZK

d)

XY ≅ KY or YZ ≅ YZ

4.

State what additional information is required in order to know that the triangles are congruent for the reason given. SSS

a)

∠CAB ≅ ∠ACL or ∠B ≅ ∠L

b)

BC ≅ LA

c)

∠B ≅ ∠L

d)

CA ≅ AC

5.

State what additional information is required in order to know that the triangles are congruent for the reason given. SSS

a)

YW ≅ CA

b)

XY ≅ BC or YW ≅ CA

c)

∠W ≅ ∠A

d)

WX ≅ AB or YW ≅ CA

6.

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

a)

∠RST ≅ ∠WSU or ∠T ≅ ∠U

b)

RS ≅ WS

c)

∠R ≅ ∠W

d)

∠R ≅ ∠W or ∠RST ≅ ∠WSU

7.

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

a)

$\overline{DE} \cong \overline{DX}$

b)

$\angle C \cong \angle Z$

c)

$\overline{EC} \cong \overline{XZ}$

d)

$\angle E \cong \angle X$

8.

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

a)

$\overline{IH} \cong \overline{DC}$

b)

$\overline{IH} \cong \overline{DC}$ or $\overline{HJ} \cong \overline{CE}$

c)

$\angle I \cong \angle D$

d)

$\angle J \cong \angle E \text{ or } \angle H \cong \angle C$

9.

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

a)

$\overline{BC}$ ≅ $\overline{CB}$ or $\overline{CD}$ ≅ $\overline{BU}$

b)

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

c)

$\overline{CD} \cong \overline{BU}$

d)

$\angle DBC \cong \angle UCB$

10.

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

a)

$\angle BCD \cong \angle SCD$

b)

$\angle BCD \cong \angle SCD$ or $\angle CDB \cong \angle CDS$

c)

$\angle B \cong \angle S$ or $\angle BCD \cong \angle SCD$

d)

$\angle B \cong \angle S$

11.

State what additional information is required in order to know that the triangles are congruent for the reason given. SAS

a)

$\overline{GH} \cong \overline{SR}$

b)

$\overline{GH} \cong \overline{SR}$ or $\overline{HI} \cong \overline{RQ}$

c)

$\angle G \cong \angle S$ or $\angle I \cong \angle Q$

d)

$\overline{HI}$ $\cong$ $\overline{RQ}$

12.

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

a)

$\overline{LM} \cong \overline{IJ}$

b)

$\overline{MK} \cong \overline{JH}$

c)

$\overline{KL} \cong \overline{HI}$ or $\overline{LM} \cong \overline{IJ}$

d)

$\angle M \cong \angle J$

13.

State what additional information is required in order to know that the triangles are congruent for the reason given. SSS

a)

HI ≅ QI

b)

IG ≅ IG

c)

∠IGH ≅ ∠IGQ or ∠H ≅ ∠Q

d)

GH ≅ GQ

14.

State what additional information is required in order to know that the triangles are congruent for the reason given. ASA

a)

XY ≅ AY

b)

∠X ≅ ∠A

c)

∠Z ≅ ∠C

d)

XY ≅ AY or YZ ≅ YC

15.

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

a)

FE ≅ JE or ED ≅ EH

b)

ED ≅ EH

c)

∠F ≅ ∠J or ∠FED ≅ ∠JEH

d)

∠F ≅ ∠J

Triangle Congruence: Finding Missing Info

Total questions: 15

Worksheet time: 4hrs 45mins

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