What is a midsegment in a triangle?
Midsegment and Perpendicular Bisectors

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•
Mathematics
•
9th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A midsegment is a line segment that connects the midpoints of two sides of a triangle. It is parallel to the third side and its length is half the length of that side.
2.
FLASHCARD QUESTION
Front
What is the property of perpendicular bisectors?
Back
A perpendicular bisector of a segment is a line that is perpendicular to the segment at its midpoint. Any point on the perpendicular bisector is equidistant from the endpoints of the segment.
3.
FLASHCARD QUESTION
Front
How do you find the length of a midsegment?
Back
To find the length of a midsegment, take the average of the lengths of the two sides it connects and divide by 2.
4.
FLASHCARD QUESTION
Front
What is the circumcenter of a triangle?
Back
The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect. It is equidistant from all three vertices of the triangle.
5.
FLASHCARD QUESTION
Front
If MN || CE, what can be inferred about the angles?
Back
If two lines are parallel, then corresponding angles formed by a transversal are equal.
6.
FLASHCARD QUESTION
Front
What is the relationship between midsegments and the sides of a triangle?
Back
Midsegments are always parallel to one side of the triangle and half its length.
7.
FLASHCARD QUESTION
Front
How do you determine if two segments are parallel?
Back
Two segments are parallel if they are in the same plane and do not intersect, or if they have the same slope.
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