NZ Level 6 (NZC) Level 1 (NCEA)
Trigonometry and Similarity

## Interactive practice questions

Consider the given triangles.

a

Are the two triangles similar?

Yes

A

No

B

Yes

A

No

B
b

Which rule confirms similarity?

Two pairs of angles are equal.

A

The ratio of three pairs of corresponding sides is equal.

B

The ratio of two pairs of corresponding sides is equal, and the pair of included angles are also equal.

C

Two pairs of angles are equal.

A

The ratio of three pairs of corresponding sides is equal.

B

The ratio of two pairs of corresponding sides is equal, and the pair of included angles are also equal.

C
Easy
Less than a minute

Consider the given triangles.

Consider the given triangles.

Consider the given triangles.

### Outcomes

#### GM6-5

Recognise when shapes are similar and use proportional reasoning to find an unknown length

#### 91031

Apply geometric reasoning in solving problems