4.2.3

Congruence

Test yourself

Congruent Triangles

Two shapes are congruent if they are the same shape and same size. They can be rotations or reflections of each other. There are four ways to prove two triangles are congruent:

Illustrative background for SSS (side, side, side)Illustrative background for SSS (side, side, side) ?? "content

SSS (side, side, side)

  • The three sides must be the same lengths.
Illustrative background for SAS (side, angle, side)Illustrative background for SAS (side, angle, side) ?? "content

SAS (side, angle, side)

  • Two sides and the angle between them must be the same.
Illustrative background for ASA (angle, side, angle)Illustrative background for ASA (angle, side, angle) ?? "content

ASA (angle, side, angle)

  • Two angles and the side between them must be the same.
Illustrative background for RHS (right angle, hypotenuse, side)Illustrative background for RHS (right angle, hypotenuse, side) ?? "content

RHS (right angle, hypotenuse, side)

  • There must be a right angle in both triangles and the hypotenuse and one other side must be the same lengths.

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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