Midsegment Theorem

Flashcard
•
Mathematics
•
9th - 11th 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 its length is half the length of the third side.
2.
FLASHCARD QUESTION
Front
If DE is the midsegment of triangle ABC, what can be said about DE in relation to AC?
Back
DE is parallel to AC and its length is half the length of AC.
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
If segment AC measures 24 units, what is the length of the midsegment DE?
Back
The length of midsegment DE is 12 units.
5.
FLASHCARD QUESTION
Front
What is the relationship between the lengths of the sides of a triangle and its midsegments?
Back
The lengths of the midsegments are always half the lengths of the sides they are parallel to.
6.
FLASHCARD QUESTION
Front
In triangle ABC, if AB = 10 and AC = 14, what is the length of the midsegment DE?
Back
The length of midsegment DE is 7 units.
7.
FLASHCARD QUESTION
Front
If segment DE is parallel to segment AC, what can be inferred about their lengths?
Back
DE is half the length of AC.
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