Triangle Midsegments & Inequalities
Flashcard
•
Mathematics
•
10th Grade
•
Hard
+2
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a midsegment in a triangle?
Back
A midsegment is a line segment that connects the midpoints of two sides of a triangle. It is parallel to the third side and its length is half the length of that side.
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 a triangle has sides of lengths 7 and 10, what is the range of possible lengths for the third side?
Back
The length of the third side must be greater than 3 and less than 17.
4.
FLASHCARD QUESTION
Front
What does it mean for segments to be parallel in a triangle?
Back
Parallel segments in a triangle do not intersect and maintain a constant distance apart. In the context of midsegments, they are equal in length and correspond to the sides of the triangle.
Tags
CCSS.HSG.SRT.B.4
5.
FLASHCARD QUESTION
Front
How do you find the length of a midsegment?
Back
To find the length of a midsegment, take half the length of the side of the triangle that it is parallel to.
Tags
CCSS.HSG.SRT.B.4
6.
FLASHCARD QUESTION
Front
What is the relationship between the angles formed by a midsegment and the triangle's angles?
Back
The angles formed by a midsegment are equal to the angles of the triangle that are not adjacent to the midsegment.
Tags
CCSS.HSG.SRT.B.4
7.
FLASHCARD QUESTION
Front
What is the significance of the midsegment theorem?
Back
The midsegment theorem states that the midsegment of a triangle is parallel to one side of the triangle and its length is half the length of that side.
Tags
CCSS.HSG.SRT.B.4
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