Geometry In Everyday Life Project

Table of Contents

1. My Project

2. Angles- Obtuse angles, acute angles and right angles

3. Types of lines

4. Examples in shapes

5. Did you know...

6. Glossary

My Project

My project is about geometry and how it makes an impact on everyday life. In my presentation, I will show many examples in different areas in geometry and I'll be explaining them as we go along.

Angles

Angles are all around us. In the trees, in the skies, in the grass, everywhere! Angles are what make up shapes and are the space between two intersecting lines, in which have the same endpoint. Here are all the different types of angles.

Obtuse angles:

Obtuse angles are angles that have more than 90 degrees. These angles are easy to spot because they are very large. Here are some examples of an obtuse angle.

The highlighted area is classified as an obtuse angle.

Acute Angles:

An acute angle is an angle that is lower than 90 degrees. It is smaller than both right and obtuse angles. The largest an acute angle can be is 89 degrees, otherwise, it isn't an acute angle. Here are some examples of an acute angle.

The angle here can be classified as an acute angle.

Right angles:

Right angles are always exactly 90 degrees. Right angles are also called squared or square angles because two of the put together makes a square. A right angle can be shown in many different ways. You want to make sure that no matter how many ways you turn it, the angle still is classified as a right angle, because many right angles have to be turned a certain way to actually look like a right angle. Here are some examples of right angles.

Parallel Lines

Parallel lines are lines that never intersect no matter how long you extend them. Examples of these lines include the two sides on a square. These two sides are parallel because each side could go on and on forever and never intersect. The pink and blue lines below show the examples.

Parallel Lines

Intersecting Lines

Intersecting lines are lines that will cross path any time they extend to a point where they touch. These lines have examples like if you extend two sides of a pentagon. When you extend the two sides, they intersect and cross paths. The blue lines below show the example.

Intersecting Lines

Perpendicular Lines

Perpendicular lines are lines that intersect into a right angle, or forming 4 90 degree angles. An example of a perpendicular line is where the edge or corner meet up on a rectangle when it's extended. The blue lines below show the example.

Perpendicular Lines

Examples in shapes

Many parts of geometry involve shapes. One part is angles, another is lines, and just shapes in general. For example, squares can be many things, like a rectangle, quadrilateral, parallelogram too and so can other shapes.

Parallelograms

Many different shapes can be parallelograms. The following list contains a few very common parallelograms.

Square

Rectangle

Trapezoid

Octogon

Hexagon

Polygons

Polygons are shapes that are closed figures, meaning they are completely sealed or closed. Mostly every common shape is a polygon, but not all of them.

Line of Symmetry

Lines of symmetry are lines that you can put through the center of shapes to divide it equally. Not every shape has a line of symmetry, for example, a scalene triangle. Scalene triangles don't have lines of symmetry because no matter which way you turn them, they cannot be divided evenly. Rotational symmetry is where if it has a rotation on any of their sides, it will still appear that there is a line of symmetry in that exact spot.

Did you know...

...that a square is a rhombus, but a rhombus isn't a square?

...that 3D figures such as cubes and cylinders also have lines of symmetry, not just 2D shapes?

...that a rectangle is a polygon, quadrilateral, and a parallelogram?

Glossary

Perpendicular Lines

Cylinder

Line of Symmetry

Parallelogram

Quadrilateral

Cube

Side

Acute Angle

Edge

Octogon

Obtuse angle

Square

Right Angle

Hexagon

Trapezoid

Polygon

End Point

Line

Pentagon

Rhombus

Rectangle

Parallel Lines

Intersecting Lines

Rotational Symmetry

Closed Figure