7 Geometry

7.01 Angles and triangles

7.02 Transformations and congruence

7.03 Testing for triangle congruence

7.04 Using triangle congruence

7.05 Quadrilaterals built from triangles

Level 8

7.01 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

VCMMG291

Define congruence of plane shapes using transformations and use transformations of congruent shapes to produce regular patterns in the plane including tessellations with and without the use of digital technology

VCMMG292

Develop the conditions for congruence of triangles

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