Geometry B polygons and quadrilaterals
Geometry B, specifically polygons and quadrilaterals, is a branch of geometry that focuses on the study of shapes with straight sides and angles. In this topic, you will learn about various types of polygons and specifically, quadrilaterals.
A polygon is a closed figure with straight sides, and each side connects to the next at a vertex. Polygons can have any number of sides, but there are some common types that you will encounter in Geometry B. These include triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), and so on.
Now, let's focus our attention on quadrilaterals. A quadrilateral is a polygon with four sides and four vertices. The sum of the interior angles of any quadrilateral is always equal to 360 degrees. However, there are specific types of quadrilaterals that have unique properties.
Some common types of quadrilaterals include:
1. Square: A square is a quadrilateral with all sides and angles equal. Each interior angle of a square measures 90 degrees. The diagonals of a square are equal in length and bisect each other at 90 degrees.
2. Rectangle: A rectangle is a quadrilateral with opposite sides equal and all interior angles measuring 90 degrees. The diagonals of a rectangle are equal in length, but they do not bisect each other.
3. Parallelogram: A parallelogram is a quadrilateral with opposite sides parallel. The opposite angles in a parallelogram are equal, and the diagonals bisect each other.
4. Rhombus: A rhombus is a quadrilateral with all sides equal, but the opposite angles are unequal. The diagonals of a rhombus are perpendicular bisectors of each other.
5. Trapezoid: A trapezoid is a quadrilateral with one pair of opposite sides parallel. The parallel sides are called bases, and the non-parallel sides are called legs.
Knowing the properties and characteristics of these quadrilaterals will help you distinguish them from each other and solve geometric problems involving these shapes.
To study further about polygons and quadrilaterals, you can refer to geometry textbooks, online resources, or take online courses that cover the topic. Additionally, practicing geometry problems involving polygons and quadrilaterals will help you enhance your understanding and problem-solving skills in this area.