Mid-Segment of a Triangle
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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.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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.
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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