Geometry 5-3a GeoGebra Primer: Circumcenter & Incenter
By Matt Richardson
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Last updated about 3 years ago
13 Questions
Instructions: Interact with this applet for a few minutes, then respond to the items that follow.
Be sure to change the locations of the triangle's white vertices both before and after sliding the slider.
1 point
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Question 1
1.
Exploration: What can you conclude about the three smaller white points? What are they? How do you know?
Exploration: What can you conclude about the three smaller white points? What are they? How do you know?
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Question 2
2.
Exploration: What do you know about the blue circle? How does it relate to the triangle?
Exploration: What do you know about the blue circle? How does it relate to the triangle?
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Question 3
3.
Vocabulary: The blue point is said to be the circumcenter of the triangle. What do you think circumcenter means?
Vocabulary: The blue point is said to be the circumcenter of the triangle. What do you think circumcenter means?
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Question 4
4.
Exploration: What do you know about the point where the brown lines intersect? How does it relate to the triangle? How does it relate to the blue circle?
Exploration: What do you know about the point where the brown lines intersect? How does it relate to the triangle? How does it relate to the blue circle?
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Question 5
5.
Exploration: What is the measure of each gray angle? Enter only a number.
Exploration: What is the measure of each gray angle? Enter only a number.
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Question 6
6.
Vocabulary: The circle is said to be circumscribed about the triangle. What do you think circumscribed means?
Vocabulary: The circle is said to be circumscribed about the triangle. What do you think circumscribed means?
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Question 7
7.
Exploration: What do you know about the brown lines. What are their relationships to the triangle?
Exploration: What do you know about the brown lines. What are their relationships to the triangle?
Instructions: Interact with this applet for a few minutes, then respond to the items that follow.
Be sure to change the locations of the triangle's white vertices both before and after sliding the slider.
1 point
1
Question 8
8.
Exploration: What can you conclude about the three black line segments? How do they relate to each other? How do they relate to the triangle?
Exploration: What can you conclude about the three black line segments? How do they relate to each other? How do they relate to the triangle?
1 point
1
Question 9
9.
Exploration: What is the measure of each gray angle? Enter only a number.
Exploration: What is the measure of each gray angle? Enter only a number.
1 point
1
Question 10
10.
Exploration: What do you know about the black point? How does it relate to the triangle? How does it relate to the circle?
Exploration: What do you know about the black point? How does it relate to the triangle? How does it relate to the circle?
1 point
1
Question 11
11.
Exploration: What do you know about the blue circle? How does it relate to the triangle?
Exploration: What do you know about the blue circle? How does it relate to the triangle?
1 point
1
Question 12
12.
Vocabulary: The circle is said to be inscribed in the triangle. What do you think inscribed means?
Vocabulary: The circle is said to be inscribed in the triangle. What do you think inscribed means?
1 point
1
Question 13
13.
Vocabulary: The black point is said to be the incenter of the triangle. What do you think incenter means?
Vocabulary: The black point is said to be the incenter of the triangle. What do you think incenter means?