Question

Find the length of the midsegment. The diagram is not to scale.

Answer 1

@Mimi_x3

Answer 2

@CGGURUMANJUNATH

Answer 3

@Directrix

Answer 4

@dan815

Answer 5

The segment joining the midpoints of two sides of a triangle has measure 1/2 that of the third side.

So, you have a little Algebra to do:


6x + 2 = (1/2)*(4x + 36)

2* (6x + 2) = 4x + 36 ---> Solve for x @DeeBush96

Answer 6

do i compare like terms first

Answer 7

There are no like terms to compare just yet.

Answer 8

Use the Distributive Property to multiply the 2 times the quantity 6x + 2

2* (6x + 2) = 4x + 36

12x + 4 = 4x + 36 --> Can you solve for x from this point?

Answer 9

8x= 32

Answer 10

@Directrix

Answer 11

Yes, and x = 4. But, you have to get the length of the midsegment.

So, evaluate 6x + 2 for x = 4.

Answer 12

6(4)+2= 24+2=26

Answer 13

Correct.

Answer 14

@Directrix Which statement is not necessarily true?
Given: DE is the ⊥ bisector of JL

Answer 15

?

Answer 16

@CGGURUMANJUNATH do u need the answer choices

Answer 17

yes.

Answer 18

do you have them with you ?

Answer 19

post the answer choices .

Answer 20

@DeeBush96

Answer 21

ok hold on

Answer 22

k

Answer 23

@CGGURUMANJUNATH

Answer 24

DeeBush96 The answer options are upside-down. Here they are right side up, I think.

Answer 25

3rd and 4th statement are not necessarily true

Answer 26

This --> DE is the ⊥ bisector of JL means that segment DE is perpendicular to segment JL AND that segment DE cuts segment JL in half giving JK = KL.

Answer 27

It is true that DJ = DL because all points on the perpendicular bisector of a segment are equidistant from the endpoints of the segment.

Answer 28

@Directrix yes i think they are congruent

Answer 29

i thinks its c DL=LE

Answer 30

To say that DL = LE is incorrect because we do not know that segment LJ is the perpendicular bisector of segment DE.

Answer 31

SO DL = LE is true

Answer 32

Which statement is not necessarily true? Segment DL ≅ Segment LE

Answer 33

@DeeBush96 For what reason do you think that this statement is true:

>>>SO DL = LE is true

Answer 34

The confusion stems from the drawing making it appear that those segments are congruent. That is why the theorems are needed.

Answer 35

because its both in the same position so that y i thought it will be true but we are looking for what is not that true

Answer 36

@Directrix

Answer 37

See attachment.

Answer 38

The question is yours to which to submit an answer. So, if you think another option is correct, then go with that.

If it were my test, I would submit as the answer DL = LE is not necessarily correct. It is not guaranteed true. It may be but it does not have to be. The other three options must be true because of the given information in the problem.

Answer 39

dj=dl is true because of sas(side angle side ) property of 2 triangles dkj and dkl;
hence dl is not equal to le;
dl=le is not necessarily true
3rd statement are not necessarily true