Kindergarten
1st
2nd
3rd
4th
5th
6th
7th
8th
9th
10th
11th
12th
Higher Ed
Other
Subjects
ELA
Math
Science
Social Studies
Art
Computer Science
French
German
Music
Physical Education
Spanish
Other
Private Library
Geometry 6-3 Proving That a Quadrilateral Is a Parallelogram
starstarstarstarstarstarstarstarstarstar
by Matthew Richardson
| 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.
The outlined content above was added from outside of Formative.
The outlined content above was added from outside of Formative.
zoom in
1
10 pts
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.)
The outlined content above was added from outside of Formative.
zoom in
2
10 pts
Problem 1 Got It?
A
B
C
D
The outlined content above was added from outside of Formative.
zoom in
3
10 pts
Problem 2 Got It? Can you prove that quadrilateral DEFG is a parallelogram based on the given information? Explain.
4
10 pts
Problem 2 Got It? Can you prove that quadrilateral ANDL is a parallelogram based on the given information? Explain.
The outlined content above was added from outside of Formative.
zoom in
5
10 pts
Problem 3 Got It? Reasoning: What is the maxium height that the vehicle lift can elevate the truck? Explain.
zoom in
6
10 pts
A
B
C
D
zoom in
7
10 pts
A
B
C
D
zoom in
8
10 pts
A
B
C
D
9
10 pts
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.
10
10 pts
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.
11
10 pts
Review Lesson 6-2: Use the parallelograms in the diagram above to match the values with the variables.
• a
• h
• k
• m
• x
zoom in
12
10 pts
Review Lessons 4-4 & 4-7: Explain how you can use overlapping triangles to prove the congruence statement.

Review Lessons 5-2 & 6-2
zoom in
13
5 pts
Enter only a number.
14
5 pts
Enter only a number.
15
5 pts
Enter only a number.
16
5 pts
Enter only a number.
17
5 pts
Enter only a number.
18
5 pts
Enter only a number.
19
5 pts
Enter only a number.
20
5 pts
Enter only a number.
21
5 pts
Enter only a number.
22
5 pts
Vocabulary Review: Does a pentagon have opposite sides?
Yes
No
23
5 pts
Vocabulary Review: Does an n-gon have opposite sides if n is an odd number?
Yes
No
24
10 pts
Use Your Vocabulary: Classify each statement as parallelogram if it describes a parallelogram.

Leave statements that do not represent parallelograms unclassified.
• octagon
• five congruent sides
zoom in
25
5 pts
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.
26
5 pts
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.
27
5 pts
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.
28
10 pts
Reflection: Math Success