Middle Years

Worksheet

1

For each pair of triangles, state whether the two triangles are congruent. If yes, state what congruence test they satisfy.

a

b

c

d

e

f

g

h

i

j

2

Consider the following triangles:

**Triangle A**

**Triangle C**

**Triangle B**

**Triangle D**

a

State which two triangles are congruent.

b

State the congruence test this pair satisfies.

3

Consider the following triangles:

**Triangle A**

**Triangle C**

**Triangle B**

**Triangle D**

a

State which two triangles are congruent.

b

State the congruence test that this pair satisfies.

4

Consider the following triangles:

**Triangle A**

**Triangle C**

**Triangle B**

**Triangle D**

a

State which two triangles are congruent.

b

State the congruence test that this pair satisfies.

5

Consider the following triangles:

**Triangle A**

**Triangle C**

**Triangle B**

**Triangle D**

a

State which two triangles are congruent.

b

State the congruence test that this pair satisfies.

6

Consider the following triangles:

**Triangle A**

**Triangle C**

**Triangle B**

**Triangle D**

a

State which two triangles are congruent.

b

State the congruence test that this pair satisfies.

7

Consider the following triangles:

**Triangle A**

**Triangle C**

**Triangle B**

**Triangle D**

a

State which two triangles are congruent.

b

State the congruence test that this pair satisfies.

8

Consider the following triangles:

**Triangle A**

**Triangle C**

**Triangle B**

**Triangle D**

a

State which two triangles are congruent.

b

State the congruence test that this pair satisfies.

9

Consider the following triangles:

**Triangle A**

**Triangle C**

**Triangle B**

**Triangle D**

a

State which two triangles are congruent.

b

State the congruence test that this pair satisfies.

10

Consider the following triangles:

**Triangle A**

**Triangle C**

**Triangle B**

**Triangle D**

a

State which two triangles are congruent.

b

State the congruence test that this pair satisfies.

11

Consider the given diagram:

State the congruence test that triangles \triangle ABD and \triangle CDB satisfy.

12

Consider the given diagram:

a

State which two triangles are congruent.

b

State the congruence test that this pair satisfies.

13

Consider the given diagram where KMand LN are straight line segments:

a

State which two triangles are congruent.

b

State the congruence test that this pair satisfies.

14

Consider the given diagram:

a

State which two triangles that are congruent.

b

State the congruence test that this pair satisfies.

15

Consider the given diagram:

What information is needed so that the triangles \triangle PQR and \triangle PSR are congruent?

16

Consider the given diagram:

What information is needed so that the triangles \triangle JKN and \triangle MLN are congruent?

17

Consider the given diagram where X is the centre of the circle.

What information is needed so that the triangles \triangle PQX and \triangle RSX are congruent?

18

Consider the given diagram:

a

State the congruence test that triangles \triangle EFG and \triangle EHD satisfy.

b

State the three ways in which the triangles satisfy this congruence test.

19

Consider the given diagram where X is the centre of both circles:

a

State the congruence test that triangles \triangle ABX and \triangle DCX satisfy.

b

State the three ways in which the triangles satisfy this congruence test.

20

Consider the given diagram:

a

State the congruence test that triangles \triangle ABD and \triangle CDB satisfy.

b

State the three ways in which the triangles satisfy this congruence test.

21

Consider the given diagram:

a

State the congruence test that triangles \triangle ABX and \triangle DCX satisfy.

b

State the three ways in which the triangles satisfy this congruence test.

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