Geometry 1-7 Complete Lesson: Midpoint and Distance in the Coordinate Plane

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Solve It!
How do you direct your character to the portal? Explain how you found your answer.

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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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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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Problem 1 Got It?

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Problem 1 Got It?

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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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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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Problem 2 Got It?

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Take Note: Summarize the process for finding the distance between two points from their coordinates.

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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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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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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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Problem 4 Got It?

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Reasoning: How does the Distance Formula ensure that the difference between two different points is positive?

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Error Analysis: Your friend calculates the distance between points Q(1, 5) and R(3, 8). What is his error?

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Digital Construction: Use the GeoGebra Geometry Calculator above to draw segment AB and construct segment PQ so that PQ = 2AB. Screenshot your construction and upload it to the canvas.

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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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130 in = ___ ft
Fill in the blank with only a number, rounded to the nearest tenth, if necessary.

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Vocabulary Review: Use the figure below to categorize each statement on the left as true or false.

Point C is at (6, 0).
Point E has an x-coordinate of -8.
Points A and B are both at the origin.
The Pythagorean Theorem can be used for any triangle.
The midpoint of \overline{AE} is F.
If AB = BC, then B is the midpoint of \overline{AC}.

True
False

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Use Your Vocabulary: Use the figure below to match each midpoint on the left with its coordinates on the right.

Draggable item		Corresponding Item
The midpoint of \overline{EF}.		G(0,2.5)
The midpoint of \overline{AB}.		The origin, (0,0)
The midpoint of \overline{CD}.		(0.5,0)

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Geometry 1-7 Complete Lesson: Midpoint and Distance in the Coordinate Plane

Solve It!How do you direct your character to the portal? Explain how you found your answer.

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.

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.

Problem 1 Got It?

Problem 1 Got It?

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.

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.

Problem 2 Got It?

Take Note: Summarize the process for finding the distance between two points from their coordinates.

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.

Problem 3 Got It?Reasoning: In Problem 3, suppose you assign variables as shown below.Do you get the same result? Why?

Problem 4 Got It?

Reasoning: How does the Distance Formula ensure that the difference between two different points is positive?

Error Analysis: Your friend calculates the distance between points Q(1, 5) and R(3, 8). What is his error?

Digital Construction: Use the GeoGebra Geometry Calculator above to draw segment AB and construct segment PQ so that PQ = 2AB. Screenshot your construction and upload it to the canvas.

Review Lesson 1-4: Consider the diagram below. Which of the following are alternate names for \angle1? Select all that apply.

130 in = ___ ftFill in the blank with only a number, rounded to the nearest tenth, if necessary.

Vocabulary Review: Use the figure below to categorize each statement on the left as true or false.

Use Your Vocabulary: Use the figure below to match each midpoint on the left with its coordinates on the right.

Reflection: Math Success

Solve It!How do you direct your character to the portal? Explain how you found your answer.

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.

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.

Problem 1 Got It?

Problem 1 Got It?

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.

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.

Problem 2 Got It?

Take Note: Summarize the process for finding the distance between two points from their coordinates.

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.

Problem 3 Got It?Reasoning: In Problem 3, suppose you assign variables as shown below.Do you get the same result? Why?

Problem 4 Got It?

Reasoning: How does the Distance Formula ensure that the difference between two different points is positive?

Error Analysis: Your friend calculates the distance between points Q(1, 5) and R(3, 8). What is his error?

Digital Construction: Use the GeoGebra Geometry Calculator above to draw segment AB and construct segment PQ so that PQ = 2AB. Screenshot your construction and upload it to the canvas.

Review Lesson 1-4: Consider the diagram below. Which of the following are alternate names for \angle1? Select all that apply.

130 in = ___ ftFill in the blank with only a number, rounded to the nearest tenth, if necessary.

14 yd = ___ inFill in the blank with only a number, rounded to the nearest tenth, if necessary.

27 ft = ___ ydFill in the blank with only a number, rounded to the nearest tenth, if necessary.

2 mi = ___ ftFill in the blank with only a number, rounded to the nearest tenth, if necessary.

Vocabulary Review: Use the figure below to categorize each statement on the left as true or false.

Use Your Vocabulary: Use the figure below to match each midpoint on the left with its coordinates on the right.

Reflection: Math Success

14 yd = ___ inFill in the blank with only a number, rounded to the nearest tenth, if necessary.

27 ft = ___ ydFill in the blank with only a number, rounded to the nearest tenth, if necessary.

2 mi = ___ ftFill in the blank with only a number, rounded to the nearest tenth, if necessary.

Solve It!
How do you direct your character to the portal? Explain how you found your answer.

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.

Problem 3 Got It?
Reasoning: In Problem 3, suppose you assign variables as shown below.
Do you get the same result? Why?

Review Lesson 1-4: Consider the diagram below.
Which of the following are alternate names for \angle1? Select all that apply.

130 in = ___ ft
Fill in the blank with only a number, rounded to the nearest tenth, if necessary.

Solve It!
How do you direct your character to the portal? Explain how you found your answer.

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.

Problem 3 Got It?
Reasoning: In Problem 3, suppose you assign variables as shown below.
Do you get the same result? Why?

Review Lesson 1-4: Consider the diagram below.
Which of the following are alternate names for \angle1? Select all that apply.

130 in = ___ ft
Fill in the blank with only a number, rounded to the nearest tenth, if necessary.

14 yd = ___ in
Fill in the blank with only a number, rounded to the nearest tenth, if necessary.

27 ft = ___ yd
Fill in the blank with only a number, rounded to the nearest tenth, if necessary.

2 mi = ___ ft
Fill in the blank with only a number, rounded to the nearest tenth, if necessary.

14 yd = ___ in
Fill in the blank with only a number, rounded to the nearest tenth, if necessary.

27 ft = ___ yd
Fill in the blank with only a number, rounded to the nearest tenth, if necessary.

2 mi = ___ ft
Fill in the blank with only a number, rounded to the nearest tenth, if necessary.