Geometry 1-7 Complete Lesson: Midpoint and Distance in the Coordinate Plane
By Matt Richardson
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Last updated about 3 years ago
27 Questions
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10
Question 1
1.
Solve It!
How do you direct your character to the portal? Explain how you found your answer.
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Question 2
2.
Take Note: Summarize the process of finding the coordinte of a midpoint on a number line. You may use the canvas to help illustrate your description.
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Question 3
3.
Take Note: Summarize the process of finding the coordinte of a midpoint on a coordinate plane. You may use the canvas to help illustrate your description.
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Question 4
4.
Problem 1 Got It?
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Question 5
5.
Problem 1 Got It?
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Question 6
6.
Take Note: Summarize the process of finding the coordinates of the midpoint of a segment when you know the coordinates of both endpoints. You may use the canvas to help illustrate your description.
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Question 7
7.
Take Note: Summarize the process of finding the coordinates of an enpoint of a segment when you know the coordinates of the midpoint and the other endpoint. You may use the canvas to help illustrate your description.
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Question 8
8.
Problem 2 Got It?
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Question 9
9.
Take Note: Summarize the process for finding the distance between two points from their coordinates.
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Question 10
10.
Take Note: Use the math input keyboard to write the Distance Formula.
Begin with "d="
Tips for efficiency:
Even though the keyboard provides buttons for these functions, keyboard shortcuts may be helpful:
★ Shift+6 starts superscript
★ Underscore starts subscript
★ Right arrow returns to
normal script
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Question 11
11.
Problem 3 Got It Segment SR has endpoints S(-2, 14) and R(3, -1). What is SR to the nearest tenth?
Enter only a number.
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Question 12
12.
Problem 3 Got It?
Reasoning: In Problem 3, suppose you assign variables as shown below.
Do you get the same result? Why?
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Question 13
13.
Problem 4 Got It?
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Question 14
14.
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Question 15
15.
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Question 16
16.
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Question 17
17.
Reasoning: How does the Distance Formula ensure that the difference between two different points is positive?
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Question 18
18.
Error Analysis: Your friend calculates the distance between points Q(1, 5) and R(3, 8). What is his error?
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Question 19
19.
Digital Construction: Use the GeoGebra Geometry Calculator above to draw segmentAB and construct segment PQ so that PQ = 2AB. Screenshot your construction and upload it to the canvas.
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Question 20
20.
Review Lesson 1-4: Consider the diagram below.
Which of the following are alternate names for \angle1? Select all that apply.
Review Unit Conversions: Getting ready for 1-8
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Question 21
21.
130 in = ___ ft
Fill in the blank with only a number, rounded to the nearest tenth, if necessary.
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Question 22
22.
14 yd = ___ in
Fill in the blank with only a number, rounded to the nearest tenth, if necessary.
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5
Question 23
23.
27 ft = ___ yd
Fill in the blank with only a number, rounded to the nearest tenth, if necessary.
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Question 24
24.
2 mi = ___ ft
Fill in the blank with only a number, rounded to the nearest tenth, if necessary.
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Question 25
25.
Vocabulary Review: Use the figure below to categorize each statement on the left as true or false.
Points A and B are both at the origin.
Point C is at (6, 0).
The midpoint of \overline{AE} is F.
Point E has an x-coordinate of -8.
If AB = BC, then B is the midpoint of \overline{AC}.
The Pythagorean Theorem can be used for any triangle.
True
False
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Question 26
26.
Use Your Vocabulary: Use the figure below to match each midpoint on the left with its coordinates on the right.
