Skill: Identify right angles

Explanation and Free Practice Resources

A right angle is formed when two rays or line segments meet to make a quarter turn, equivalent to a 90-degree angle, and has the shape of a square corner regardless of its orientation or the lengths of its sides. The understanding includes identifying right angles in two-dimensional shapes and distinguishing them from smaller or wider angles; calculating unknown angle measures and using formal angle relationships are beyond this scope.

Detailed Explanation: Identify right angles

A right angle is a square corner. It is made by a quarter turn, or 90∘90^\circ. The corner may point up, down, or sideways, and the sides can be different lengths.

To identify one:

  1. Look at the two sides or rays that meet.
  2. Imagine turning from one side to the other.
  3. If the turn makes a square corner, it is a right angle.
  4. A small square mark at the corner is another clue that it is a right angle.

Example: Identify the right angles in this rectangle.

A ┌────────┐ B
  │        │
D └────────┘ C
  • At corner AA, the top side and left side make a square corner. So AA is a right angle.
  • At corner BB, the top side and right side make a square corner. So BB is a right angle.
  • At corner CC, the right side and bottom side make a square corner. So CC is a right angle.
  • At corner DD, the bottom side and left side make a square corner. So DD is a right angle.

Therefore, the rectangle has four right angles. Each one measures 90∘90^\circ.

Learn by doing: Identify right angles

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Angles - Acute, Obtuse, Right or Straight


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