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

Last updated about 4 years ago

27 questions

G.GPE.6

G.GPE.4

G.CO.12

G.GPE.4

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

Last updated about 4 years ago

27 questions

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

G.GPE.4

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.

G.GPE.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.

G.GPE.6

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.

G.GPE.6

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

G.GPE.4

G.GPE.6

G.GPE.4

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

G.GPE.4

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

G.GPE.4

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.

G.CO.12

Review Unit Conversions: Getting ready for 1-8

Draggable item		Corresponding Item

Reflection: Math Success

G.GPE.4

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

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

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 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 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?

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.

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.

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.

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?

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

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 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?

Problem 4 Got It?

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.

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?

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.

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.