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AustraliaNSW
Stage 5.1-3

5.03 Polygon proofs

Interactive practice questions

Consider the diagram below:

a

State the angle sum of a pentagon.

b

Solve for the value of $x$x.

Easy
2min

Solve for $x$x in the diagram below:

Medium
1min

Solve for $x$x in the diagram below:

Medium
2min

Solve for the value of $\angle ABC$ABC in the diagram below, where $ABFGH$ABFGH and $BCDEF$BCDEF are regular pentagons:

Medium
4min
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Outcomes

MA5.2-14MG

calculates the angle sum of any polygon and uses minimum conditions to prove triangles are congruent or similar

MA5.3-16MG

proves triangles are similar, and uses formal geometric reasoning to establish properties of triangles and quadrilaterals

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