Angles - Cycle 2

| Mathematics

What is an angle?

Definition

An angle (∠) is formed by two line segments or rays that meet or intersect.

There are different types of angles, such as right, acute, and obtuse angles.

Example
The different types of angles

What is a right angle?

Definition

A right angle is an angle formed by two perpendicular rays or line segments.

Examples:

Exemple d’angles droits

Right angles can be found in many everyday objects.

Examples

The corners of frames, doors, and windows form right angles.

Exemples d’objets de la vie courante qui ont des angles droits

Tip

To know if an angle is right, place the corner of a sheet of paper on top of it. Compare the line segments or rays that form the angle at the corner of the sheet.

The angle is right when the line segments or rays are aligned with the sides of the sheet.

Example:

Exemple d’un angles droit comparé à une feuille

What is an acute angle?

Definition

An acute angle is an angle smaller than a right angle.

Examples:

Exemples d’angles aigus

In comparison to a right angle, acute angles are visibly smaller.

Exemples d’angles aigus comparés à un angle droit

Acute angles can be seen in many everyday objects.

Examples

The tips of pencils or carrots and the tops of Christmas trees form acute angles.

Exemples d’objets formant des angles aigus

Tip

To know if an angle is acute, place the corner of a sheet of paper on top of it. Compare the line segments or rays that form the angle at the corner of the sheet.

The angle is acute when only one line segment or ray of the angle is aligned with one side of the sheet. The other line segment or ray is hidden by the sheet.

Example:

Exemples d’un angle aigu comparé à une feuille

What is an obtuse angle?

Definition

An obtuse angle is an angle greater than a right angle.

Examples:

Exemples d’angles obtus

In comparison to a right angle, obtuse angles are visibly larger.

Exemple d’angles obtus comparés à un angle droit

Obtuse angles can be seen in many everyday objects.

Examples

The roofs of houses, the backs and seats of lawn chairs, and the corners of stop signs all form obtuse angles.

Exemple d’objets formant des angles obtus

Tip

To know if an angle is obtuse, place the corner of a sheet of paper on top of it. Compare the line segments or rays that form the angle at the corner of a sheet.

The angle is obtuse when only one line segment or ray of the angle is aligned with one side of the sheet. The other line segment or ray protrudes from the sheet.

Example:

Exemple d’un angle obtus comparé à une feuille