Lydia graphed δlmn at the coordinates l (0, 0), m (2, 2), and n (2, −1). she thinks δlmn is a right triangle. is lydia's assertion correct?
yes; the slopes of segment lm and segment ln are opposite reciprocals.
no; the slopes of segment lm and segment ln are not opposite reciprocals.
yes; the slopes of segment lm and segment ln are the same.
no; the slopes of segment lm and segment ln are not the same.

No; the slopes of segment LM and segment LN are not opposite reciprocals.

Step-by-step explanation:

No; the slopes of segment LM and segment LN are not opposite reciprocals.

Step-by-step explanation:

step 1

we have

The coordinates L (0, 0), M (2, 2), and N (2, −1)

Plot the vertices to better understand the problem

see the attached figure    

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal

If the triangle LMN is a right triangle

then

the slopes of segment LM and segment LN must be opposite reciprocal

step 2

Find the slope LM

L (0, 0), M (2, 2)

The slope is equal to

step 3

Find the slope LN

L (0, 0), N (2, −1)

The slope is equal to

step 4

Compare the slopes LM and LN

The slopes are not opposite reciprocal

therefore

The triangle LMN is not a right triangle

step-by-step explanation:

step-by-step explanation:

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