Exercise: Coordinate and Graphs
Distance in the Coordinate Plane
The Distance Formula: The distance between points (x1,y1) and (x2,y2) is given by the formula Note: This is really the Pythagorean Theorem in a different form.
- Plot the points (0,0) and (-4,3).
- Measure the distance between the two points.
What distance did you get above? Find the distance manually (by calculating) to check your answer from Geogebra.
Midpoints in the Coordinate Plane
To find the midpoint of a segment on a coordinate plane, find the average of your x and an average of your y values.
- Plot the points (-1,-3) and (3, 2).
- Connect the points with a segment and find the midpoint.
What were the coordinates of the midpoint you calculated above?
Graph an equation
- Draw a graph that has symmetry with respect to the x-axis by inputting the equation in the (+) sign.
- Draw another graph that has symmetry with respect to the y-axis by inputting the equation in the (+) sign. You should use different name so that both graphs appear (for example: f(x) for no.1 and g(x) for no. 2).
Symmetry
Explain three ways to check for symmetry