Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
A right angle is a 'square corner' angle, measuring exactly .
A quarter turn is equivalent to one right angle.
A half turn is equivalent to two right angles ().
A three-quarter turn is equivalent to three right angles ().
A full turn (whole turn) is equivalent to four right angles (), returning to the original position.
Clockwise means moving in the same direction as the hands of a clock.
Anti-clockwise means moving in the opposite direction to the hands of a clock.
Angles can be compared to a right angle: they can be smaller than (acute) or larger than (obtuse) a right angle.
📐Formulae
💡Examples
Problem 1:
How many right angles are there inside a standard rectangle?
Solution:
4 right angles
Explanation:
A rectangle has four corners, and each corner is a perfect 'L' shape or a square corner, which measures .
Problem 2:
If Sarah is facing North and makes a half turn, which direction is she facing now?
Solution:
South
Explanation:
A half turn is equal to two right angles. Moving two right angles from North (whether clockwise or anti-clockwise) points you in the opposite direction, which is South.
Problem 3:
Identify if the angle formed by the hands of a clock at 1:00 is 'greater than', 'less than', or 'equal to' a right angle.
Solution:
Less than a right angle
Explanation:
At 3:00, the hands form a perfect right angle (). At 1:00, the gap between the hands is much smaller than the 'L' shape of a right angle.
Problem 4:
A robot makes 3 quarter turns clockwise. How many right angles has it turned through?
Solution:
3 right angles
Explanation:
Since each quarter turn is equal to 1 right angle, 3 quarter turns equals right angles.