The Triangle Midsegment Theorem
Flashcard
•
Mathematics
•
8th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Triangle Midsegment Theorem?
Back
The Triangle 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
If segment QR is a midsegment of triangle WUV, what can be said about segment UV?
Back
Segment UV is parallel to segment QR and is twice the length of segment QR.
3.
FLASHCARD QUESTION
Front
How do you find the length of a midsegment in a triangle?
Back
To find the length of a midsegment, measure the lengths of the two sides it connects, and then use the formula: Midsegment length = (1/2) * (length of the third side).
4.
FLASHCARD QUESTION
Front
What is the relationship between the lengths of the midsegment and the side it is parallel to?
Back
The length of the midsegment is always half the length of the side it is parallel to.
5.
FLASHCARD QUESTION
Front
In triangle GHI, if TS is a midsegment and GH = 16, what is the length of TS?
Back
The length of TS is 8, since it is half the length of GH.
6.
FLASHCARD QUESTION
Front
If QR is a midsegment of triangle FGH and x = -11, what does this imply about the triangle?
Back
If x = -11, it indicates that the dimensions or conditions of the triangle may not be valid, as lengths cannot be negative.
7.
FLASHCARD QUESTION
Front
What is the significance of identifying midpoints in a triangle?
Back
Identifying midpoints is crucial for applying the Triangle Midsegment Theorem, as it allows for the determination of midsegments and their properties.
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