Triangle Midsegment and Triangle Inequality Theorem

Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
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15 questions
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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
What is the Triangle Inequality Theorem?
Back
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
3.
FLASHCARD QUESTION
Front
If two sides of a triangle measure 4 and 12, what is the range of possible lengths for the third side?
Back
The length of the third side must be greater than 8 and less than 16.
4.
FLASHCARD QUESTION
Front
Identify the relationship between the midsegment and the third side in a triangle.
Back
The midsegment is parallel to the third side and is half its length.
5.
FLASHCARD QUESTION
Front
If DE is a midsegment of triangle ABC, what can be said about DE and BC?
Back
DE is parallel to BC and DE = 1/2 BC.
6.
FLASHCARD QUESTION
Front
What is the shortest side in a triangle with sides QP, QM, and MP if QM is the shortest?
Back
QM is the shortest side.
7.
FLASHCARD QUESTION
Front
How do you determine if a triangle can exist with given side lengths?
Back
Use the Triangle Inequality Theorem: the sum of the lengths of any two sides must be greater than the length of the third side.
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