Edexcel GCSE Foundation Maths: Angle Facts
Angles are a fundamental part of geometry and are essential for understanding shapes and their properties. Here's a breakdown of key angle facts you need to know for your Edexcel GCSE Foundation Maths exam:
1. Types of Angles
- Acute Angle: An angle less than 90°.
- Right Angle: An angle exactly 90°.
- Obtuse Angle: An angle greater than 90° but less than 180°.
- Straight Angle: An angle exactly 180°.
- Reflex Angle: An angle greater than 180° but less than 360°.
2. Angles on a Straight Line
- Angles on a straight line add up to 180°. This means if you have two angles that form a straight line, their sum will always be 180°.
3. Angles at a Point
- Angles at a point add up to 360°. This means all the angles around a single point will sum to 360°.
4. Vertically Opposite Angles
- Vertically opposite angles are equal. When two lines intersect, the angles opposite each other are always equal.
5. Corresponding Angles
- Corresponding angles are equal. When two parallel lines are intersected by a transversal, the angles in corresponding positions are equal.
6. Alternate Angles
- Alternate angles are equal. When two parallel lines are intersected by a transversal, the angles on opposite sides of the transversal and between the parallel lines are equal.
7. Interior Angles
- Interior angles on the same side of the transversal are supplementary. When two parallel lines are intersected by a transversal, the angles on the same side of the transversal and between the parallel lines add up to 180°.
8. Triangle Angle Sum
- Angles in a triangle add up to 180°. This is a fundamental rule of triangles.
9. Isosceles Triangle
- Base angles of an isosceles triangle are equal. In an isosceles triangle, the two angles opposite the equal sides are always equal.
10. Equilateral Triangle
- All angles in an equilateral triangle are 60°. Since all sides of an equilateral triangle are equal, all its angles are also equal, each measuring 60°.
11. Quadrilateral Angle Sum
- Angles in a quadrilateral add up to 360°. This is a general rule for any four-sided shape.
Remember: Understanding these angle facts will be crucial for solving geometric problems in your Edexcel GCSE Foundation Maths exam. Practice applying these concepts to different scenarios and you'll be well on your way to success!