VC2M8SP01 Official strand: Space

Congruent and similar shapes

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Use sufficient conditions to identify equal shapes, scaled shapes and rigid transformations.

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Two triangles each have side lengths 3 cm, 4 cm and 5 cm. Which condition establishes that they are congruent?

AOne pair of equal sides alone. BSSS: all three corresponding sides are equal. CEqual perimeters alone. DAAA: all three corresponding angles are equal.

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Answer: SSS: all three corresponding sides are equal.

The three corresponding side lengths match.
SSS fixes the triangle’s size and shape; its position or orientation may differ.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Use sufficient conditions to identify equal shapes, scaled shapes and rigid transformations.

Read the official VCAA curriculum description (VC2M8SP01)

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VC2M8SP01-C01Identify SSS, SAS, angle-side conditions and RHS for triangle congruence.
VC2M8SP01-C02Use corresponding angles, proportional lengths and transformations.
VC2M8SP01-C03Explain congruence and similarity of common shapes and transformations using constructions.
VC2M8SP01-C04Apply and explain congruent and similar shapes using calculate and explain each step.
VC2M8SP01-C05Apply and explain congruent and similar shapes using read and connect representations.
VC2M8SP01-C06Apply and explain congruent and similar shapes using work backwards from what is known.

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Subskills

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Descriptor-derived subskills

D01
Same shape and same sizeIdentify SSS, SAS, angle-side conditions and RHS for triangle congruence.
D02
Same shape; perhaps another sizeUse corresponding angles, proportional lengths and transformations.
D03
Calculate and explain each stepApply and explain congruent and similar shapes using calculate and explain each step.
D04
Read and connect representationsApply and explain congruent and similar shapes using read and connect representations.
D05
Work backwards from what is knownApply and explain congruent and similar shapes using work backwards from what is known.