Distance, Gradient and Midpoint
A worksheet on calculating and interpreting the distance, gradient, and midpoint of line segments on the Cartesian plane. Curriculum reference: AC9M9A03.
Section A: True or False?
For each statement, determine if it is true or false and provide a brief explanation for your answer.
The gradient of a vertical line is 0. Explain your reasoning.
Two non-vertical lines are parallel if and only if they have the same gradient. Explain your reasoning.
A line that slopes downwards from left to right has a positive gradient. Explain your reasoning.
The distance formula is an application of the Pythagorean theorem. Explain your reasoning.
The midpoint of a line segment is always one of its endpoints. Explain your reasoning.
Section B: Short Answer
Calculate the required value. Write your answer in the simplest form.