Geometry Triangle Midsegment Theorem-Summer School

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•
Mathematics
•
9th - 11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Triangle Midsegment Theorem?
Back
The Triangle Midsegment Theorem states that the 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 a triangle has sides of lengths 10, 14, and 18, what is the length of the midsegment connecting the midpoints of the sides of lengths 10 and 14?
Back
The length of the midsegment is half the length of the third side, which is 18. Therefore, the midsegment length is 9.
3.
FLASHCARD QUESTION
Front
What is the relationship between the midsegment and the third side of a triangle?
Back
The midsegment is parallel to the third side and its length is half of the third side.
4.
FLASHCARD QUESTION
Front
If the midsegment of a triangle is 7, what is the length of the third side?
Back
The length of the third side is 14, since the midsegment is half of the third side.
5.
FLASHCARD QUESTION
Front
How do you find the length of a midsegment in a triangle?
Back
To find the length of a midsegment, identify the lengths of the two sides it connects, and use the Triangle Midsegment Theorem to determine its relationship to the third side.
6.
FLASHCARD QUESTION
Front
If the lengths of two sides of a triangle are 8 and 6, what is the maximum possible length of the third side?
Back
The maximum possible length of the third side is less than the sum of the two sides, which is 14.
7.
FLASHCARD QUESTION
Front
What is the perimeter of a triangle with sides 12, 16, and 20?
Back
The perimeter is 12 + 16 + 20 = 48.
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