Question 11 of 22beginner💡 UnderstandShort Answer2 marks

Do you know what the words acute and obtuse mean? Acute means sharp and obtuse means blunt. Why do you think these words have been chosen?

Correct Answer

Given: 'Acute' means sharp, and 'obtuse' means blunt.

Explanation: Acute angles appear sharp or pointed because they are narrow (less than 90°). Obtuse angles appear blunt or wide because they open more than a right angle (greater than 90°).

Answer: These words were chosen because they describe the visual appearance of the angles — acute angles look sharp at the vertex, while obtuse angles look blunt or wide.

Exercise: Figure it Out (Section 5) | Q: 3 | (Page Page 19)
For More Understanding

Explanation

The chapter directly states: 'Acute means sharp and obtuse means blunt.' The naming convention relates to the visual appearance of the angles. An acute angle has a sharp, pointed appearance at the vertex because the arms are close together. An obtuse angle has a blunt, wide appearance because the arms are spread farther apart. This helps students remember which type of angle is which based on their visual characteristics.

Solution Steps

  1. Acute means sharp — acute angles are narrow (less than 90°) and appear pointed.

  2. Obtuse means blunt — obtuse angles are wide (greater than 90°) and appear blunt.

  3. Words were chosen based on visual appearance at the vertex.