What is the Midsegment Theorem?
Midsegment Theorem
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Mathematics
•
9th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The Midsegment Theorem states that a segment connecting the midpoints of two sides of a triangle is parallel to the third side and its length is half the length of the third side.
2.
FLASHCARD QUESTION
Front
If QR is a midsegment of triangle BCD, what can be said about segments QR and BC?
Back
Segment QR is parallel to segment BC and its length is half of BC.
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: Length of midsegment = (Length of side 1 + Length of side 2) / 2.
4.
FLASHCARD QUESTION
Front
What is the relationship between the angles formed by a midsegment and the angles of the triangle?
Back
The angles formed by the midsegment are equal to the angles of the triangle at the vertices opposite to the sides the midsegment connects.
5.
FLASHCARD QUESTION
Front
If the length of side AB is 10 and side AC is 14, what is the length of the midsegment connecting points D and E?
Back
The length of the midsegment DE is 12 (which is the average of 10 and 14).
6.
FLASHCARD QUESTION
Front
What is the significance of midsegments in triangle similarity?
Back
Midsegments create smaller triangles that are similar to the original triangle, maintaining the same angle measures and proportional side lengths.
7.
FLASHCARD QUESTION
Front
If segment QR is a midsegment of triangle WUV and its length is 8, what is the length of side UV?
Back
The length of side UV is 16, since the midsegment is half the length of the side it is parallel to.
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