Using Similarity

Using Similarity

Geometry Basics

• Understand the terms: points, line segments, angles, parallel and perpendicular lines.
• Points have a location but no size. They are often represented by a single letter.
• Line Segments have a definite starting and end point. They can be measured.
• Angles are formed by two intersecting lines. They can be acute, obtuse, right, or straight.
• Parallel lines don’t intersect, while perpendicular lines intersect at a right angle.

Shapes and Properties

• Understand the properties of 2D shapes, including triangles, quadrilaterals, circles and polygons. Know the formulas for area and perimeter of these shapes.
• Triangle properties: sum of angles equals 180 degrees, area = 1/2 base x height.
• Quadrilateral properties: sum of angles equals 360 degrees.

Coordinates and Graphs

• Understand how to plot points on a Cartesian graph.
• Be familiar with concepts gradiant and intercept.
• Gradiant refers to the slope of the line, while intercept refers to where the line crosses the y-axis.

Transformations and Constructions

• Understand the four types of transformations: translations, reflections, rotations, and enlargements.
• Be familiar with principles of symmetry and know how to draw lines of symmetry on various shapes.

Trigonometry

• Understand the relationship between the sides of a right-angled triangle: sine, cosine, and tangent.
• Be able to apply the Pythagorean theorem to find the length of a side in a right-angled triangle: a^2 = b^2 + c^2
• Sine rule and cosine rule are useful for non-right-angled triangles.

Circle Theorem

• Understand and apply the properties of circles, including radius, diameter, circumference, arc, and sectors.
• Be familiar with circle theorems, such as angles at the centre and circumference, the alternate segment theorem, and angles in the same segment.