Midsegment Theorem

Flashcard
•
Mathematics
•
10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Midsegment Theorem?
Back
The Midsegment Theorem states that the 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.
Tags
CCSS.HSG.SRT.B.4
2.
FLASHCARD QUESTION
Front
If AB is the third side of triangle ABC, and D and E are midpoints of AC and BC respectively, what is the length of DE if AB = 20?
Back
DE = 10 (since DE is half of AB).
Tags
CCSS.HSG.SRT.B.4
3.
FLASHCARD QUESTION
Front
What is the relationship between the midsegment and the sides of the triangle?
Back
The midsegment is parallel to the third side and its length is half of that side.
Tags
CCSS.HSG.SRT.B.4
4.
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 length of the side it is parallel to and divide by 2.
Tags
CCSS.HSG.SRT.B.4
5.
FLASHCARD QUESTION
Front
If the midsegment DE of triangle ABC is 9, what is the length of side AB?
Back
AB = 18 (since DE is half of AB).
Tags
CCSS.HSG.SRT.B.4
6.
FLASHCARD QUESTION
Front
What are the coordinates of the midpoints D and E if A(2, 4) and B(6, 8) are vertices of triangle ABC?
Back
D = (4, 6) and E = (3, 5) if C is at (0, 0).
Tags
CCSS.HSG.GPE.B.6
7.
FLASHCARD QUESTION
Front
In triangle XYZ, if XY = 14 and the midsegment connecting the midpoints of XZ and YZ is 7, what does this tell you?
Back
This confirms the Midsegment Theorem, as the midsegment is half the length of the side XY.
Tags
CCSS.HSG.SRT.B.4
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