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Questions and Answers
What property defines a midsegment in a triangle?
What property defines a midsegment in a triangle?
- It connects the midpoints of two sides and is parallel to the third side. (correct)
- It is equal in length to the altitude of the triangle.
- It connects the vertices of the triangle.
- It is longer than the side it is parallel to.
How do you express the relationship between a midsegment and the side of a triangle it is parallel to?
How do you express the relationship between a midsegment and the side of a triangle it is parallel to?
- The midsegment is always shorter than both other sides.
- The midsegment is twice the length of the third side.
- The length of the midsegment is equal to the length of the third side.
- The length of the midsegment is half the length of the third side. (correct)
In the problem, what equation relates UW and ST?
In the problem, what equation relates UW and ST?
- ST = (1/2)UW
- UW = ST
- UW = (1/2)ST (correct)
- UW = 2ST
If UW is given as $x + 25$ and ST is given as $x + 52$, what is the equation used to find x?
If UW is given as $x + 25$ and ST is given as $x + 52$, what is the equation used to find x?
What is the final calculated value of x?
What is the final calculated value of x?
Flashcards
Midsegment of a Triangle
Midsegment of a Triangle
A segment connecting the midpoints of two sides of a triangle.
Midsegment Parallel to Third Side
Midsegment Parallel to Third Side
The midsegment of a triangle is parallel to the third side.
Midsegment Length
Midsegment Length
Half the length of the third side.
Solving for x (Midsegment)
Solving for x (Midsegment)
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x = 2 (Midsegment Problem)
x = 2 (Midsegment Problem)
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Study Notes
Midsegment of a Triangle
- UW is a midsegment of triangle STV.
- A midsegment of a triangle is a segment that connects the midpoints of two sides of the triangle.
- The midsegment is parallel to the third side of the triangle.
- The length of the midsegment is half the length of the third side.
Finding the Value of x
- ST = x + 52
- UW = x + 25
- UW = (1/2)ST (midsegment theorem)
- x + 25 = (1/2)(x + 52)
- 2(x + 25) = x + 52
- 2x + 50 = x + 52
- x = 2
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