Opposite, adjacent and hypotenuse

1. For $\theta$ in the sketch, name the opposite side.

   1 mark

2. For $\theta$ in the sketch, name the adjacent side.

   1 mark

3. For $\theta$ in the sketch, name the hypotenuse.

   1 mark

4. Now use upper angle $\varphi$. Name its opposite and adjacent sides.

   2 marks

5. Triangle $ABC$ is right-angled at $B$. For angle $A$, name the hypotenuse, opposite side and adjacent side.

   3 marks
6. A right triangle is rotated on the page. Does its hypotenuse change? Explain.

   2 marks

Equivalent correct methods earn the corresponding marks. Include units where asked.

1. For $\theta$ in the sketch, name the opposite side.

   1 mark

   Side $a$ is across from $\theta$.

   $a$
2. For $\theta$ in the sketch, name the adjacent side.

   1 mark

   Side $b$ touches $\theta$ and is not the hypotenuse.

   $b$
3. For $\theta$ in the sketch, name the hypotenuse.

   1 mark

   Side $c$ faces the marked right angle.

   $c$
4. Now use upper angle $\varphi$. Name its opposite and adjacent sides.

   2 marks

   Changing the reference angle swaps the two shorter-side labels.

   Opposite $b$; adjacent $a$
5. Triangle $ABC$ is right-angled at $B$. For angle $A$, name the hypotenuse, opposite side and adjacent side.

   3 marks

   $AC$ faces the right angle $B$.

   $BC$ does not touch $A$; $AB$ does touch $A$.

   Hypotenuse $AC$; opposite $BC$; adjacent $AB$
6. A right triangle is rotated on the page. Does its hypotenuse change? Explain.

   2 marks

   Rotation does not change any angle.

   The same side remains opposite the right angle.

   No