#6.4 The Triangle Midsegment Theorem

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Mathematics
•
9th - 11th Grade
•
Hard
Standards-aligned
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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 is half as long.
Tags
CCSS.HSG.SRT.B.4
2.
FLASHCARD QUESTION
Front
If SR is a midsegment of triangle ABC, what is the relationship between SR and side AC?
Back
SR is parallel to side AC and its length is half of the length of AC.
Tags
CCSS.HSG.SRT.B.4
3.
FLASHCARD QUESTION
Front
Given that SR = 46, what is the length of side AC?
Back
AC = 2 * SR = 2 * 46 = 92.
Tags
CCSS.HSG.CO.C.10
4.
FLASHCARD QUESTION
Front
If AB = 16, what is the length of QS if QS is a midsegment?
Back
QS = 2 * AB = 2 * 16 = 32.
Tags
CCSS.HSG.SRT.B.4
5.
FLASHCARD QUESTION
Front
How do you find the length of a midsegment in a triangle?
Back
To find the length of a midsegment, take the average of the lengths of the two sides it connects and divide by 2.
6.
FLASHCARD QUESTION
Front
What is the significance of midpoints in the Triangle Midsegment Theorem?
Back
Midpoints are crucial as the midsegment connects the midpoints of two sides, ensuring the properties of parallelism and proportionality.
Tags
CCSS.HSG.SRT.B.4
7.
FLASHCARD QUESTION
Front
If CA = 68, what is the length of the midsegment SR?
Back
SR = CA / 2 = 68 / 2 = 34.
Tags
CCSS.HSG.SRT.B.4
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