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?
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.
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
Acute means sharp — acute angles are narrow (less than 90°) and appear pointed.
Obtuse means blunt — obtuse angles are wide (greater than 90°) and appear blunt.
Words were chosen based on visual appearance at the vertex.