Congruence

Mathematics

Question

Congruence

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Congruent

The pairs of objects have the same size, shape and angle

Triangle congruence rule of Side-Side-Side (SSS)

• The length of corresponding sides are equal • AC = PR • AB = PQ • BC = QR

Triangle congruence rule of Side-Angle-Side (SAS)

Two corresponding sides are equal in length and the size of the corresponding subtended angle between the two sides are equal

Triangle congruence rule of Angle-Side-Angle (ASA)

Two corresponding angles are equal and the length of the corresponding side between the two angles are equal

Triangle congruence rule of Angle-Angle-Side (AAS)

Two corresponding angles are equal and the length of one of the corresponding sides which does not lie between the two angles are equal

Triangle congruence rule of Angle-Angle-Angle (AAA)

• All the three corresponding angles are equal • The area of the pair of triangles must be equal

Triangle congruence rule of Side-Side-Angle (SSA)

• Two corresponding sides are equal in length and one of the corresponding angles which is not subtended between the two sides are equal • The area of the pair of triangles must be equal

Side-Side-Angle (SSA) and Angle-Angle-Angle (AAA)

Can be used to determine two triangles are congruent if the areas of the triangles are the same

Congruent property of Right-Hypotenuse-Side Angle (RHS)

A special congruence property for right-angled triangle

The characteristics of the two triangles are congruent

Hypotenuse and one of the corresponding non-hypotenuse sides of two right-angled triangles are equal in length

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Congruence

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