Midsegment Theorem

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Midsegment Theorem?
Back
The Midsegment Theorem states that a segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.
2.
FLASHCARD QUESTION
Front
Define a midsegment in a triangle.
Back
A midsegment is a line segment that connects the midpoints of two sides of a triangle.
3.
FLASHCARD QUESTION
Front
If DE is a midsegment of triangle ABC, what can be said about segments AC and DE?
Back
Segment DE is parallel to segment AC and its length is half of AC.
4.
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 the length of that side.
5.
FLASHCARD QUESTION
Front
If the length of segment AC is 20, what is the length of the midsegment DE?
Back
The length of segment DE is 10.
6.
FLASHCARD QUESTION
Front
Name a property of midsegments in triangles.
Back
Midsegments divide the triangle into two smaller triangles that are similar to the original triangle.
7.
FLASHCARD QUESTION
Front
What is the significance of midsegments in triangle similarity?
Back
Midsegments help establish the similarity of triangles by showing proportional relationships between corresponding sides.
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