Part E
Now check your work by using the GeoGebra geometry tool to repeat parts A through D. Open GeoGebra e, and complete
each step below. If you need help, follow these instructions for using GeoGebra. You'll take a screenshot of your work when
you're through, so be sure to clearly label your construction as you work.
1. Plot points A, B and C, and draw a polygon, AABC, through the points.
2. Draw a line perpendicular to AC through point B. 3. Label the intersection of the line perpendicular to AC through Band AC point D.
4. Measure and display the slopes of AC and BD.
5. Display the equations of AC and BD in the Algebra margin.
6. Measure and display the lengths of AC and BD.
7. Calculate and display the area o Part F
Compare the calculations displayed in GeoGebra with the calculations you completed in parts A through D. Look in the Algebra
margin too. Do the results in GeoGebra match the results you obtained earlier? If not, where do the discrepancies occur? You
might have to rearrange equations algebraically to determine whether two equations match. Part 6
You've seen two methods for finding the area of AABC-using coordinate algebra (by hand) and using geometry software.
How are the two methods similar? How are they different? Why might coordinate algebra be important in making and using
geometry software?

They both apply the fundamentals of triangle geometry in solving the area of a triangle using the formula for the area of triangle 1/2×base of triangle×height of the triangle.

How are they different?

Using coordinate algebra in finding the area of a triangle, you would have to measure coordinates(XY coordinates) of a triangle manually on the graph and find y coordinates based on x. If you used geometry software, it would get these coordinates automatically(based on your graph on the software) and calculate the area of the triangle using the formula.

Why might coordinate algebra be important in making and using geometry software?

A solid grasp of coordinate algebra allows you to understand how the geometry software works because it makes use of the same geometry fundamentals, making it easier for you to tweak and get the best value out of the software for your geometry calculations.

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