Question

(HELP ASAP)

Answer 1

Answer: The true statement is,

'N is the mid point of JL'.

Step-by-step explanation:

Since, By the given diagram we get the following information,

M is mid point of KL because, KM=ML,

N is the mid point of JL Because, JN=NL

If we connect the points M and N then we get a line MN,

Which is called mid segment.

And, By the Mid point theorem,

$MN\parallel KJ$ and MN= KJ/2 = 12.8/2=6.4 m

Therefore from the above information we can say that only second Option  is correct.

Answer 2

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:

$MN=\frac{KJ}{2}$

$MN=\frac{12.8}{2}$

$MN=6.4$

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.