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arlik [135]
3 years ago
8

Write the definition of midpoint, provide a supporting figure

Mathematics
1 answer:
givi [52]3 years ago
5 0

Step-by-step explanation: Using the diagram shown which I have provided in the image attached, the definition of a midpoint states that M is the midpoint of segment LN, then segment LN ≅ to MN.

The definition of a midpoint can also be stated the other way around. using the diagram shown, if segment LN ≅ to segment MN, then M is the midpoint of segment LN.

We can use hash marks in the figure to show that are 2 segments are congruent.

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3 years ago
2. Which statement is false about the relationship of the sides in the triangle shown in the picture below?
MaRussiya [10]

Based on the triangle inequality theorem, the that is false about the relationship of the side of the triangle given is: D. x = 7.

<h3>What is the Triangle Inequality Theorem?</h3>

The triangle inequality theorem holds that the length of any side of a triangle is less than the sum of the length of the sides of the other two sides.

Applying the triangle inequality theorem, it means the following should be true for any value of x given:

x + 2 + x + 3 > 3x - 2

2x + 5 > 3x - 2

Plug in x = 3 to find out:

2(3) + 5 > 3(3) - 2

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Plug in x = 1 to find out:

2(1) + 5 > 3(1) - 2

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Plug in x = 7 to find out:

2(7) + 5 > 3(7) - 2

19 > 19 (FALSE)

Therefore, the false statement is: D. x = 7.

Learn more about the triangle inequality theorem on:

brainly.com/question/309896

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2 years ago
What is the midpoint of a segment with endpoints at (-4, -8) and (8,10)?
MrRissso [65]

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D

Step-by-step explanation:

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3 years ago
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