Midsegments of Triangles

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a midsegment of a triangle?
Back
A midsegment of a triangle is a segment that connects the midpoints of two sides of the triangle.
2.
FLASHCARD QUESTION
Front
What is the relationship between a midsegment and the sides of a triangle?
Back
The midsegment is parallel to the third side of the triangle and is half its length.
3.
FLASHCARD QUESTION
Front
If segment DE is a midsegment, what can be said about segments AB and DE?
Back
Segment DE is parallel to segment AB and DE = 1/2 AB.
4.
FLASHCARD QUESTION
Front
What is the formula to find the length of a midsegment?
Back
Length of midsegment = 1/2 (length of the side parallel to it).
5.
FLASHCARD QUESTION
Front
How many midsegments can a triangle have?
Back
A triangle can have three midsegments, one for each pair of sides.
6.
FLASHCARD QUESTION
Front
If the lengths of two sides of a triangle are 10 and 14, what is the length of the midsegment connecting these sides?
Back
The length of the midsegment is 7 (which is half of 14).
7.
FLASHCARD QUESTION
Front
What is the significance of midsegments in triangle similarity?
Back
Midsegments create smaller triangles that are similar to the original triangle.
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