(HELP ASAP)
Which statements about triangle JKL are true? Check all that apply.

M is the midpoint of line segment KJ.
N is the midpoint of line segment JL.
MN = KJ
MN = 4.4m
MN = ML

HELP ASAP Which statements about triangle JKL are true Check all that apply M is the midpoint of line segment KJ N is the midpoint of line segment JL MN KJ MN 4 class=

Respuesta :

Answer:

Option B is the correct choice.

Step-by-step explanation:

We have been given an image of a triangle and we are asked to choose the statements about our given triangle.

Let us check our given options one by one.

A. M is the midpoint of line segment KJ.

We can see from our given image that length of segment KM = 5.9 and ML = 5.9.

Since the point M is the midpoint of line segment KL, therefore, option A is false.    

B. N is the midpoint of line segment JL.

We can see from our given image that length of segment JN = 3.7 m and NL = 3.7 m.

Since the point N is the midpoint of line segment KL, therefore, option B is true.

C. MN = KJ

Since we know that line connecting the midpoints of two sides of triangle is parallel to third side of triangle and half the measure of third side of triangle.

Therefore, by triangle mid-segment theorem, MN will be half the length of KJ and option C is false.

D. MN = 4.4m

Using triangle mid-segment theorem we can set an equation as:

[tex]MN=\frac{KJ}{2}[/tex]

[tex]MN=\frac{12.8}{2}[/tex]

[tex]MN=6.4[/tex]

Therefore, length of MN is 6.4 units and option D is false as well.

E. MN = ML

Since length of MN is 6.4 units and length of ML is 5.9 units, therefore, option E is false.

Based on the properties of triangles, the true statement is N is the midpoint of line segment JL, option B.

Which statements about triangle JKL are true?

Based on the properties of triangles, we can conclude the following about the statements:

1. M is the midpoint of line segment KJ is false because the point M is the midpoint of line segment KL.    

2. N is the midpoint of line segment JL is true because the point N is the midpoint of line segment KL, therefore, option B is true.

C. MN = KJ is false based on the triangle mid-segment theorem, MN will be half the length of KJ and option C is false.

D. MN = 4.4m is false because MN = KJ/2 = 6.4

E. MN = ML is false because MN is 6.4 units while ML is 5.9 units.

Therefore, based on the triangle, the true statement is N is the midpoint of line segment JL, option B.

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