Geometry 5-1 GeoGebra Primer: Triangle Midsegments
By Matt Richardson
starstarstarstarstarstarstarstarstarstar
Last updated about 3 years ago
4 Questions
Instructions: Explore the embedded GeoGebra applet below before responding to the items that follow. Note that you can change the locations of the triangle's vertices.
10 points
10
Question 1
1.
Vocabulary: The orange segment that first appears is called a midsegment of a triangle. Based on what you observed in the applet, define midsegment of a triangle.
Vocabulary: The orange segment that first appears is called a midsegment of a triangle. Based on what you observed in the applet, define midsegment of a triangle.
10 points
10
Question 2
2.
Reasoning: What conclusions can you informally conclude about the midsegment of any triangle?
Fill in the blanks to complete the conclusions.
Reasoning: What conclusions can you informally conclude about the midsegment of any triangle?
Fill in the blanks to complete the conclusions.
- perpendicular
- half
- twice
- parallel
- skew
- equivalent to
- The midsegment of any triangle is __?__ to the side of the triangle it doesn't touch.
- The length of the midsegment of any triangle is __?__ the length of the side of the triangle it doesn't touch.
10 points
10
Question 3
3.
Vocabulary: How many midsegements does any triangle have?
Enter only a number.
Vocabulary: How many midsegements does any triangle have?
Enter only a number.
10 points
10
Question 4
4.
Reasoning: If the perimeter of an entire triangle is 200 feet, what would the perimeter of the triangle formed by its midsegments be?
Reasoning: If the perimeter of an entire triangle is 200 feet, what would the perimeter of the
triangle formed by its midsegments be?