Mid-Segment of a Triangle
Related Topics:
More Lessons for Grade 9
Math Worksheets
Examples, videos, worksheets, solutions, and activities to help Geometry students learn how to construct the mid-segment of a triangle.
The following diagrams show the mid-segment of a triangle. Scroll down the page for more examples and solutions on the mid-segments of triangles.
Triangle Mid-segment
A triangle mid-segment is a line segment whose endpoints are the midpoints of a triangle. The triangle mid-segment is parallel to the third side (the side that does not contain an endpoint). Also, the mid-segment is half the length of the third side.
The Triangle Midsegment Theorem
The Triangle Midsegment Theorem
Mid-segment of a Triangle
Students learn the following theorems related to parallel lines. If 3 parallel lines form congruent segments along one transversal, then they form congruent segments along every transversal. If a line intersects the midpoint of one side a triangle and is parallel to another side of the triangle, then it intersects the midpoint of the third side of the triangle. If a segment joins the midpoints of two sides of a triangle, then the segment is (a) parallel to the third side of the triangle, and (b) half the length of the third side.
More Lessons for Grade 9
Math Worksheets
Examples, videos, worksheets, solutions, and activities to help Geometry students learn how to construct the mid-segment of a triangle.
The following diagrams show the mid-segment of a triangle. Scroll down the page for more examples and solutions on the mid-segments of triangles.
Triangle Mid-segment
A triangle mid-segment is a line segment whose endpoints are the midpoints of a triangle. The triangle mid-segment is parallel to the third side (the side that does not contain an endpoint). Also, the mid-segment is half the length of the third side.
Students learn the following theorems related to parallel lines. If 3 parallel lines form congruent segments along one transversal, then they form congruent segments along every transversal. If a line intersects the midpoint of one side a triangle and is parallel to another side of the triangle, then it intersects the midpoint of the third side of the triangle. If a segment joins the midpoints of two sides of a triangle, then the segment is (a) parallel to the third side of the triangle, and (b) half the length of the third side.
| Check out our most popular games! | ||
|---|---|---|
 Fraction Concoction |
 Fact Family Game |
 Number Bond Garden |
 Online Addition Subtraction Game |
 Penguin Solitaire |
 Sawayama Solitaire |
 Ark Solitaire |
 Eldritch Invasion |
 Shenzhen Solitaire |
Check out more Solitaire games here.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.