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Questions and Answers
What property defines a midsegment in a triangle?
What property defines a midsegment in a triangle?
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?
In the problem, what equation relates UW and ST?
In the problem, what equation relates UW and ST?
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?
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What is the final calculated value of x?
What is the final calculated value of x?
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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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Description
Test your understanding of the midsegment of a triangle with this quiz. You'll apply the midsegment theorem and solve for variable x in the context of triangle STV. Ideal for students learning geometry principles.
