Congruent triangles

The Maths Habit

Which two triangles would fit exactly on top of each other?

ABCD

A and B

Congruent
Exactly the same shape and the same size.

SSSThree sides SASTwo sides and the angle between them ASATwo angles and a side RHSRight angle, hypotenuse and a side

Which condition shows they are congruent?

SSS SAS ASA RHS

Which condition shows they are congruent?

SSS SAS ASA RHS

Which condition shows they are congruent?

S is a side. A is an angle.
Sides given2Angles given1
SSSSASASARHS

Which condition shows they are congruent?

Sides given1Angles given2
SSSSASASARHS

Which condition shows they are congruent?

S is a side. A is an angle.
Sides given2Angles given1
SSSSASASARHS

Which condition shows they are congruent?

Sides given3Angles given0
SSSSASASARHS

Which condition shows they are congruent?

S is a side. A is an angle.
Sides given2Angles given1
SSSSASASARHS

Which condition shows they are congruent?

Sides given2Angles given1
SSSSASASARHS

Which condition shows they are congruent?

S is a side. A is an angle.
Sides given2Angles given1
SSSSASASARHS

Which condition shows they are congruent?

Sides given1Angles given2
SSSSASASARHS

Which condition shows they are congruent?

S is a side. A is an angle.
Sides given2Angles given1
SSSSASASARHS

Which condition shows they are congruent?

Sides given2Angles given1
SSSSASASARHS

Congruent triangles worksheet, page 1

Congruent triangles worksheet, page 2

Answer sheet

  1. Two triangles both have sides of 5 cm and 7 cm, and an angle of 40° that is not between them. Must they be congruent?

    No

  2. Sketch two triangles that both have angles of 30°, 60° and 90° but are not congruent.

    Different sizes

  3. Two right angled triangles both have a hypotenuse of 17 cm and another side of 8 cm. Must they be congruent? Which condition shows it?

    Yes, RHS

  1. Which condition shows they are congruent?

    SAS
    7 cm5 cm48°7 cm5 cm48°

  2. Which condition shows they are congruent?

    RHS
    13 cm5 cm13 cm5 cm

  3. Two triangles both have angles of 35°, 65° and 80°. Must they be congruent? Explain your answer.

    No, one can be bigger than the other
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