# Grade 10 Mathematics :Analytical Geometry

Introduction

Good morning Grade 10 today we starting a new topic which is Analytical Geometry, please listen to the video below so that you can do the task that follows:

Date: 17 July 2021

Topic: Analytical Geometry

Given: A(-2;0), B(4;2), C(4;-2) and D(5;-4).

Calculate the following:

1. the lengths of AB and CD.

2. the gradients of AB and AC.

3. the coordinates of the midpoints of AC and AD.

4. the equation of line CD.

5. Determine whether CD passes through point (1;4).

Process

This is another video with further information on this topic:

Evaluation
Rubric of marking
Description Poor Not poor Average Good Excellent Mark
Identify formula           /8
Indication of coordinates           /8
Substitution           /20
Total           /44

Conclusion

The purpose of this topic is to improve the learner's ability to read statements and visualize that information to solve the problem. Gradient used when calculating equation for a function, and also it can be used to prove perpendicular lines. Distance is for length between two or more points, can be used to prove if a quadrilateral is a square or parallelogram. Midpoint is for the median function.

Credits

Book: XFactor Mathematics Grade 10 by L. Fourie