8 Geometry

8.01 Angles and triangles

8.02 Transformations and congruence

8.03 Testing for triangle congruence

8.04 Using triangle congruence

8.05 Quadrilaterals built from triangles

Stage 4

8.01 Angles and triangles

Interactive practice questions

Consider the diagram with marked angles.

Eight lines labelled G, H, I, J, K, L, and M extend from a central point X, each separated by coloured regions. The angles between lines M and C and lines E and F are orange and acute, H and I is blue and acute, L and M is pink and acute, and L and G is green and a right angle.

a

Identify the two pairs of angles that are adjacent.

$\angle LXM$∠LXM and $\angle MXG$∠MXG

A

$\angle MXG$∠MXG and $\angle HXI$∠HXI

B

$\angle HXI$∠HXI and $\angle IXJ$∠IXJ

C

$\angle IXJ$∠IXJ and $\angle LXM$∠LXM

D

b

Identify a pair of angles that are vertically opposite.

$\angle IXJ$∠IXJ and $\angle MXG$∠MXG

A

$\angle IXJ$∠IXJ and $\angle LXM$∠LXM

B

$\angle HXI$∠HXI and $\angle MXG$∠MXG

C

$\angle HXI$∠HXI and $\angle LXM$∠LXM

D

c

Identify the two pairs of angles that are complementary.

$\angle HXI$∠HXI and $\angle IXJ$∠IXJ

A

$\angle LXM$∠LXM and $\angle MXG$∠MXG

B

$\angle IXJ$∠IXJ and $\angle LXM$∠LXM

C

$\angle HXI$∠HXI and $\angle MXG$∠MXG

D

Easy

1min

Are the angles in the diagram below $supplementary$ ?

Easy

< 1min

Are the angles in the diagram below $supplementary$ ?

Easy

< 1min

Are the angles in the diagram below $complementary$ ?

Easy

< 1min

Outcomes

MA4-17MG

classifies, describes and uses the properties of triangles and quadrilaterals, and determines congruent triangles to find unknown side lengths and angles

MA4-18MG

identifies and uses angle relationships, including those related to transversals on sets of parallel lines

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