Geometry 6-3 Complete Lesson: Proving That a Quadrilateral Is a Parallelogram
By Matt Richardson
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Last updated almost 3 years ago
28 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
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Question 1
1.
Solve It! Each section of glass in the exterior of a building in Macau, China, forms an equilateral triangle. Do you think the window washer's feet stay parallel to the ground as he lands at each level of windows? Explain. (Assume that the bases of the lowest triangles are parallel to the ground.)
G.SRT.5
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Question 2
2.
Problem 1 Got It?
G.CO.11
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Question 3
3.
Problem 2 Got It? Can you prove that quadrilateral DEFG is a parallelogram based on the given information? Explain.
G.CO.11
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Question 4
4.
Problem 2 Got It? Can you prove that quadrilateral ANDL is a parallelogram based on the given information? Explain.
G.CO.11
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Question 5
5.
Problem 3 Got It? Reasoning: What is the maxium height that the vehicle lift can elevate the truck? Explain.
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Question 6
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G.CO.11
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Question 7
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G.CO.11
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Question 8
8.
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Question 9
9.
Compare and Contrast: How is Theorem 6-11 in this lesson different from Theorem 6-6 in the previous lesson? In what situations should you use each theorem? Explain.
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Question 10
10.
Error Analysis: Your friend says, "If a quadrilateral has a pair of opposite sides that are congruent and a pair of opposite sides that are parallel, then it is a parallelogram." What is your friend's error? Explain.
G.CO.11
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Question 11
11.
Review Lesson 6-2: Use the parallelograms in the diagram above to match the values with the variables.
15
30
9.5
8
120
a
h
k
m
x
G.CO.11
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Question 12
12.
Review Lessons 4-4 & 4-7: Explain how you can use overlapping triangles to prove the congruence statement.
Review Lessons 5-2 & 6-2
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Question 13
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Question 14
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Question 15
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Question 16
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Question 17
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Question 18
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Question 19
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Question 20
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Question 21
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Question 22
22.
Vocabulary Review: Does a pentagon have opposite sides?
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Question 23
23.
Vocabulary Review: Does an n-gon have opposite sides if n is an odd number?
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Question 24
24.
Use Your Vocabulary: Classify each statement as parallelogram if it describes a parallelogram.
Leave statements that do not represent parallelograms unclassified.
parallelogram
octagon
five congruent sides
regular quadrilateral
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Question 25
25.
Use Your Vocabulary: Classify the quadrilateral as appearing to be a parallelogram or not appearing to be a parallelogram by writing "parallelogram"or "NP".
Do not include spaces in your response.
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Question 26
26.
Use Your Vocabulary: Classify the quadrilateral as appearing to be a parallelogram or not appearing to be a parallelogram by writing "parallelogram"or "NP".
Do not include spaces in your response.
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Question 27
27.
Use Your Vocabulary: Classify the quadrilateral as appearing to be a parallelogram or not appearing to be a parallelogram by writing "parallelogram"or "NP".
