UNIT 3 - COORDINATE GEOMETRY

• Parallel and Perpendicular lines and their equations

• Midpoint and Distance formula

• Pythagorean Theorem

Understanding parallel and perpendicular lines, along with their equations, helps us see how different shapes fit together. Parallel lines never cross, always staying the same distance apart. Perpendicular lines meet at right angles, forming squares and rectangles. I can describe these relationships using math equations that talk about slopes and where lines cross the axes. There are also formulas to find the middle point between two points and to calculate distances. These are super useful for figuring out where things are in space. And then there's the Pythagorean Theorem, which says in a right triangle, the square of the longest side equals the sum of the squares of the other two sides. It's a handy tool for all sorts of calculations in both flat and three-dimensional space. So, by understanding all these ideas, I can build a strong foundation for understanding how shapes and space work together in math. Other than that, it is important to know how to use this information in reality - especially in real life problems, for example knowing the distance between two points on vacation or even the midpoint of the road I am going to school. As I go through many consequences, situations in my life, I get to feel more creative and use these formulas to calculate elements.