VC2M8SP02 Official strand: Space

Reason about quadrilaterals

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Use triangle congruence and angle properties to explain quadrilateral facts.

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Three interior angles of a quadrilateral are 80°, 100° and 90°. What is the fourth angle?

A100° B90° C110° D91°

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Answer: 90°

A quadrilateral’s interior angles sum to 360°.
360 − (80 + 100 + 90) = 90°.
80 + 100 + 90 = 270.
360 − 270 = 90.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Use triangle congruence and angle properties to explain quadrilateral facts.

Read the official VCAA curriculum description (VC2M8SP02)

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VC2M8SP02-C01Use quadrilateral and parallel-line angle relationships.
VC2M8SP02-C02Use congruent triangles to justify quadrilateral properties.
VC2M8SP02-C03Construct and communicate a geometric argument for quadrilateral properties.
VC2M8SP02-C04Apply and explain reason about quadrilaterals using calculate and explain each step.
VC2M8SP02-C05Apply and explain reason about quadrilaterals using compare evidence and check a claim.

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Subskills

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Descriptor-derived subskills

D01
Two triangles make 360°Use quadrilateral and parallel-line angle relationships.
D02
Explain why the property holdsUse congruent triangles to justify quadrilateral properties.
D03
Calculate and explain each stepApply and explain reason about quadrilaterals using calculate and explain each step.
D04
Compare evidence and check a claimApply and explain reason about quadrilaterals using compare evidence and check a claim.