Proving Theorems about Parallelograms_ Tutorial
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School
University of South Carolina *
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Course
U233
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
6
Uploaded by MegaStar111012
3/1/24, 2:14 PM
Lesson Activity: Congruent Parts of Parallelograms
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Lesson Activity
Congruent Parts of Parallelograms
This activity will help you meet this educational goal:
You will investigate properties of the sides and angles of parallelograms.
Directions
Read the instructions for this self-checked activity. Submit 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 explore the side lengths and interior angles of parallelograms. Open
congruent parts of parallelograms to complete each step. For help, watch these short videos
on using GeoGebra to measure and create points, lines and angles .
Question
3/1/24, 2:14 PM
Lesson Activity: Congruent Parts of Parallelograms
https://f2.app.edmentum.com/courseware-delivery/ua/124881/45610424/aHR0cHM6Ly9mMi5hcHAuZWRtZW50dW0uY29tL2x0aS92Mi9sZWFybmVy…
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Part A
Confirm that quadrilateral is a parallelogram by measuring and recording the slope of
each of its sides. Recall that parallel lines have the same slope.
Type the correct answer in each box. Use numerals instead of words. Do not round your
answers.
Side
Slope (
m
)
Correct!
Explanation:
Side
Slope (
m
)
1.5
0
1.5
0
1.5
0
1.5
0
3/1/24, 2:14 PM
Lesson Activity: Congruent Parts of Parallelograms
https://f2.app.edmentum.com/courseware-delivery/ua/124881/45610424/aHR0cHM6Ly9mMi5hcHAuZWRtZW50dW0uY29tL2x0aS92Mi9sZWFybmVy…
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Part B
Measure and record the length of each side of parallelogram .
Type the correct answer in each box. Use numerals instead of words. Do not round your
answers.
Side
Length
Correct!
Explanation:
Side
Length
3.61
2
3.61
2
Question
3.61
2
3.61
2
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3/1/24, 2:14 PM
Lesson Activity: Congruent Parts of Parallelograms
https://f2.app.edmentum.com/courseware-delivery/ua/124881/45610424/aHR0cHM6Ly9mMi5hcHAuZWRtZW50dW0uY29tL2x0aS92Mi9sZWFybmVy…
4/6
Part C
Measure and record the four interior angles of parallelogram .
Type the correct answer in each box. Use numerals instead of words. Do not round your
answers.
Angle
Measure
Explanation:
Angle
Measure
Question
56.31
123.69
56.31
123.69
3/1/24, 2:14 PM
Lesson Activity: Congruent Parts of Parallelograms
https://f2.app.edmentum.com/courseware-delivery/ua/124881/45610424/aHR0cHM6Ly9mMi5hcHAuZWRtZW50dW0uY29tL2x0aS92Mi9sZWFybmVy…
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Part D
Move the vertices of the parallelogram around and notice how the measurements from parts
B and C change. What conjecture can you make about the sides and the angles of
parallelograms?
Answer:
i can infer 1 diagonal is the vector sum of rwo of the sides in the parallelogram
Space used (includes formatting): 88 / 15000
Opposite sides of a parallelogram are congruent, and opposite angles of a parallelogram are
congruent.
Hide Sample Answer
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.
3/1/24, 2:14 PM
Lesson Activity: Congruent Parts of Parallelograms
https://f2.app.edmentum.com/courseware-delivery/ua/124881/45610424/aHR0cHM6Ly9mMi5hcHAuZWRtZW50dW0uY29tL2x0aS92Mi9sZWFybmVy…
6/6
Answer:
3.9-4 i think i did pretty good and got most questions right, i did good on the word questiona too.
Space used (includes formatting): 112 / 15000
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