# 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.