Free Printable Conditions for congruence in triangles

1.

State the type of congruency in the given pair of triangles

a)

RHS

b)

SAS

c)

ASA

d)

AAS

2.

ABC and LNM are congruent triangles.

Angle B = Angle N

Write down the length of MN. (leave out the unit)

(a)

3.

Shown below are six triangles that are not drawn accurately.

Which two triangles are congruent to triangle A?

(hint; calculate the 3rd angle in each triangle)

a)

D and C

b)

B and D

c)

E and F

d)

C and F

4.

For the pair of triangles shown, state the condition why they are congruent.

(write the condition in capital letters without spaces between e.g. SAS, SSS, ASA)

(a)

5.

For the pair of triangles shown, state the condition why they are congruent.

(write the condition in capital letters without spaces between e.g. SAS, SSS, ASA)

(a)

6.

For the pair of triangles shown, state the condition why they are congruent.

(write the condition in capital letters without spaces between e.g. SAS, SSS, ASA)

(a)

7.

Identify the two of the triangles below are congruent.

(hint; calculate the 3rd angle and side in each triangle)

a)

A and C

b)

B and D

c)

A and D

d)

C and D

8.

Consider the two triangles shown below.

Are the two triangles congruent?

Choose 1 answer: Choose 1 answer:

a)

Yes

b)

No

c)

there is no enough information to say.

9.

A pair of congruent triangles are as shown Which statement must be true?

a)

$\angle\ DAC\equiv\angle\ DAB$

b)

$CD\ \equiv\ AB$

c)

$\angle\ DCB\ \equiv\angle\ DAB$

d)

$AD\ \equiv\ AB$

10.

In the following pairs of triangles, find the pairs which are congruent? Also, write the criterion of congruence.

a)

$ΔABD\ \equiv\ ΔCDB$ by SAS condition

b)

$ΔABD\ \equiv\ ΔCDB$ by ASA condition

c)

$ΔABD\ \equiv\ ΔCBD$ by SAS condition

d)

$ΔABD\ \equiv\ ΔCBD$ by ASA condtion

11.

Given that the following triangles are congruent, find the values of x and y.

a)

$x\ =\ 45\degree,\ y\ =\ 45\degree$

b)

$x\ =\ 45\degree,\ y\ =\ 31\degree$

c)

$x\ =\ 55\degree,\ y\ =\ 45\degree$

d)

$x\ =\ 55\degree,\ y\ =\ 31\degree$

12.

If in two triangles PQR and DEF, PR = EF, QR = DE and PQ = FD,

then △PQR≅ △ ___.

a)

FDE

b)

DEF

c)

FED

d)

DFE

13.

If EF = 3x - 1 and HG = 2x + 4, what is EF?

a)

-5

b)

5

c)

14

d)

28

14.

Use the congruency statement to answer the following:
∠F = ___

a)

∠H

b)

∠I

c)

∠G

d)

not congruent to another angle

15.

If ∆ABC ≅ ∆PQR, then the value of ∠A is

a)

35°

b)

55°

c)

90°

d)

45°

16.

How will you represent the two triangles in congruence?

a)

△ABC ≅ △PQR

b)

△BAC ≅ △PQR

c)

△ABC ≅ △RPQ

d)

△ACB ≅ △PQR

17.

∆PQR ≅ ∆NLM by which criteria?

a)

SAS

b)

ASA

c)

RHS

d)

SSS

18.

Which congruence statement indicates that the triangles are congruent?

a)

$\Delta GHF\cong\Delta KML$

b)

$\Delta GFH\cong\Delta KLM$

c)

$\Delta FHG\cong\Delta MLK$

d)

$\Delta GHF\cong\Delta MKL$

19.

For the shape shown, complete the congruence statement;

$\Delta\ MON\ \equiv\Delta\ (a) <span class=$ (write capital letters for the triangle without spaces)

20.

For the shape shown, complete the congruence statement;

$\Delta\ SQR\ \equiv\Delta\ (a) <span class=$ (write capital letters for the triangle without spaces)

Conditions for congruence in triangles - Practice

Total questions: 20

Worksheet time: 15mins

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