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Midsegment of a Triangle Quiz

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Questions and Answers

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?

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?

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?

<p>$x + 25 = (1/2)(x + 52)$ (B)</p> Signup and view all the answers

What is the final calculated value of x?

<p>2 (A)</p> Signup and view all the answers

Flashcards

Midsegment of a Triangle

A segment connecting the midpoints of two sides of a triangle.

Midsegment Parallel to Third Side

The midsegment of a triangle is parallel to the third side.

Midsegment Length

Half the length of the third side.

Solving for x (Midsegment)

Use the relationship between the midsegment and the third side to find 'x'.

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x = 2 (Midsegment Problem)

The solution to the midsegment problem, showing that the unknown variable x is 2.

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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.