
Plot and label points on a coordinate plane, using x and y axes, unit squares, and the origin to locate (-1, 1), (0, 5), (-5, -2), and (1, 0).
Determine the signs of coordinates in the second quadrant by inspecting x and y on the standard coordinate system, concluding x is negative and y is positive.
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Compute distances on the number line using the square root of the difference squared. Illustrate with four examples: (3,7), (-3,7), (3,-7), (-7,-10), emphasizing how negative signs affect the calculation.
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Practice exercise 3 applies the slope formula y2−y1 over x2−x1 to find lines through given points, yielding a vertical line x = sqrt(2) and deriving the line equation.
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Imagine reading an entire geometry textbook for secondary or high school and solving most of the exercises. Wow, that’s amazing! Well, that’s exactly what you’ll achieve if you enroll in this course. It is based on a comprehensive collection of geometry books. Every topic from these books has been carefully compared, compiled, and discussed, with most of the challenging and essential exercises solved for you.
If you’ve ever wished for more solved examples, then this course is perfect for you! While many other courses offer lectures, very few provide an abundance of solved exercises or examples. This course can serve as a supplementary resource or even as a primary reference to help you understand geometry for secondary or high school. It includes concept overviews and, most importantly, plenty of solved exercises. These exercises are designed to enhance your understanding of concepts, postulates, and axioms in a clear and practical way.
This is the third part (Part 3: Coordinate Systems, Distance between Points on a Line, and Equation of a Line) for the subject Geometry in high school or secondary. Enrol and follow the author for more future contents.
The author’s aim is simple, that is to teach mathematics by comprehension. As the world and generation changed, the teaching style must follow. This is what we call the innovation in teaching. To do that, a simple brief lecture must be followed by lots and lots of examples applying the mathematics topic that have been discussed. In that manner, the knowledge is transferred by showing them how the theorem and axioms work.
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