Using Coordinates to Prove Geometric Theorems_ Tutorial
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School
University of South Carolina *
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Course
A503
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
4
Uploaded by MegaStar111012
2/29/24, 4:34 PM
Lesson Activity: Using Coordinates with Quadrilaterals
https://f1.app.edmentum.com/courseware-delivery/ua/127281/45610374/aHR0cHM6Ly9mMS5hcHAuZWRtZW50dW0uY29tL2x0aS92Mi9sZWFybmV…
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Lesson Activity
Using Coordinates with Quadrilaterals
This activity will help you meet this educational goal:
You will use geometry software to classify quadrilaterals.
Directions
Read the instructions for this self-checked activity. Type in your response to each question,
and check your answers. At the end of the activity, write a brief evaluation of your work.
Activity
Use GeoGebra to complete the activity and classify a given quadrilateral. For help, watch
these short videos on using GeoGebra to measure and create points, lines and angles .
Part A
Create quadrilateral ABCD using the polygon tool and the points , , , and
. Measure the slopes of the sides of the quadrilateral and note them in the table.
Answer:
Side of Quadrilateral
Slope
4
4
4
4
Space used (includes formatting): 994 / 15000
Show Sample Answer
2/29/24, 4:34 PM
Lesson Activity: Using Coordinates with Quadrilaterals
https://f1.app.edmentum.com/courseware-delivery/ua/127281/45610374/aHR0cHM6Ly9mMS5hcHAuZWRtZW50dW0uY29tL2x0aS92Mi9sZWFybmV…
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Part B
Take a screenshot of the quadrilateral from part A with its slopes labeled and paste it below.
Based on the slopes, which type of quadrilateral is it? Explain your answer.
Answer:
Space used (includes formatting): 132 / 15000
Sides
and
have the same slope, so they are parallel. Slides
and do not have
the same slope and are not parallel. Since one pair of opposite sides is parallel and one pair
is not, the figure is a trapezoid.
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2/29/24, 4:34 PM
Lesson Activity: Using Coordinates with Quadrilaterals
https://f1.app.edmentum.com/courseware-delivery/ua/127281/45610374/aHR0cHM6Ly9mMS5hcHAuZWRtZW50dW0uY29tL2x0aS92Mi9sZWFybmV…
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Part C
Revisit your work in part B. Is the trapezoid that you created an isosceles trapezoid? How can
you tell? If you didn’t have geometry software, how could you prove or disprove that the
trapezoid is isosceles? Describe your procedure.
Answer:
By measuring the lengths of the sides, we can determine if the trapezoid is isosceles or not. However, it's
important to note that this procedure assumes that the measurements are accurate and the sides are
straight.
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The trapezoid is not an isosceles trapezoid because the nonparallel side lengths are not the
same. One side has a length of 5 units, and the other side has a length of 5.1 units.
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2/29/24, 4:34 PM
Lesson Activity: Using Coordinates with Quadrilaterals
https://f1.app.edmentum.com/courseware-delivery/ua/127281/45610374/aHR0cHM6Ly9mMS5hcHAuZWRtZW50dW0uY29tL2x0aS92Mi9sZWFybmV…
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If I didn’t have geometry software, I could use the distance formula to find the length of
sides
and .
Self-Evaluation
How did you do? Rate your work on a scale of 1 to 5, where 5 is the highest score. Then write
a brief evaluation of your work below. Note what you learned and what challenged you.
Answer:
I did very good, I would say 4-5 becuse i worked hard and learned a lot. I made a shape with the points and
it was helpful towards my skills on geogebra.
Space used (includes formatting): 160 / 15000