Geometry 5-1 GeoGebra Primer: Triangle Midsegments

By Matthew Richardson

Last updated over 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.

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.

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.

Geometry 5-1 GeoGebra Primer: Triangle Midsegments

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.

Reasoning: What conclusions can you informally conclude about the midsegment of any triangle?

Fill in the blanks to complete the conclusions.

Vocabulary: How many midsegements does any triangle have?

Enter only a number.

Reasoning: If the perimeter of an entire triangle is 200 feet, what would the perimeter of the
triangle formed by its midsegments be?

Geometry 5-1 GeoGebra Primer: Triangle Midsegments

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.

Reasoning: What conclusions can you informally conclude about the midsegment of any triangle?Fill in the blanks to complete the conclusions.

Vocabulary: How many midsegements does any triangle have?Enter only a number.

Reasoning: If the perimeter of an entire triangle is 200 feet, what would the perimeter of the triangle formed by its midsegments be?

Reasoning: What conclusions can you informally conclude about the midsegment of any triangle?

Fill in the blanks to complete the conclusions.

Vocabulary: How many midsegements does any triangle have?

Enter only a number.

Reasoning: If the perimeter of an entire triangle is 200 feet, what would the perimeter of the
triangle formed by its midsegments be?