Geometry is a branch of mathematics that studies the shapes, positions and dimensions of things.
Flat like squares, circles, and triangles are a part of flat geometry and are called 2D shapes. These shapes have only, the length and the width.Solid objects are also known as 3D objects having the third dimension of ordepth. The shape where two edges meet form an angle. Different shapes in geometry have different angle measures.Other polygons like the pentagon, hexagon, heptagon, octagon have 5, 6, 7, 8 sides respectively and varying angles.
We learn various aspects of shapes, like the measurement of angles, length of sides, area, volume, etc in geometry.Similarity and congruence are two important aspects of geometry.
Similarity is when two shapes are the same but their sizes may vary. Congruence is when two shapes are exactly the same in shape and size.
Using the coordinate plane, we plot points, lines, etc. By joining various points on the coordinate plane, we can create shapes.
We use Formula and Theorems to solve the geometry problems.A formula is a mathematical equation to solve a geometry problem while a theorem is a statement that is proved using previously known facts.
The word geometry is made from the Greek words “Geo” meaning “earth” and “metry” meaning “measurement”.
This course is designed to emphasize the study of the properties and applications of common geometric figures in two and three dimensions. It includes the study of transformations and right triangle trigonometry. ... It also emphasizes writing proofs to solve (prove) properties of geometric figures.
Topics covered in this course:
- Algebra Applications with Angles
- Nonlinear equations – Parabolas, Circles, Eclipses & Hyperbola
- Law of Cosines & Sines
- Arc Length and Sector Area
- Prisms, Right Circular Cylinder, Pyramids & Right Circular cone – Volume, Lateral area, and Total Area
- Logic, Bisect, Perpendicular lines