Question

Given ΔLMN where the length of segment NP is greater than the length of segment LP, the following is an indirect paragraph proof proving segment MP is not a median:

Answer 1

Assume segment MP is a median. According to the definition of a median, point P is the midpoint of side L N. By the definition of a midpoint NP = LP. This contradicts the given statement. Therefore, segment MP is not a median.

Answer 2

Is the indirect proof logically valid? If so, why? If not, why not?

Yes. Statements are presented in a logical order using the correct theorems.

Yes. The conclusion was used to contradict the assumption.

No. The conclusion was used to contradict the assumption.

No. The progression of the statements is logically inaccurate.

Answer 3

wanna prove that
\(NP \neq LP\)

Answer 4

Yes

Answer 5

since the the mediann devide the opposite side

Answer 6

I'm not so good at this...

Answer 7

its only hypotheses we dint start proving yet ^_^

Answer 8

ok nw we'll start ,
do you know what the median is ?

Answer 9

P

Answer 10

No, MP... I think

Answer 11

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposing side. Every triangle has exactly three medians: one running from each vertex to the opposite side. In the case of isosceles and equilateral triangles, a median bisects any angle at a vertex whose two adjacent sides are equal in length.

Answer 12

like this

Answer 13

Ok

Answer 14

so the Qn want to prove that MP is not median

Answer 15

Right

Answer 16

lets use contradiction , and assume that MP is median

Answer 17

according to the definition of median above , then LP=PM

Answer 18

Ok

Answer 19

so we have to statment
PL< PN (given)
PL= PN (proved )
and that make a contradiction
so our assumtion that MP is median is wrong
so MP is not median

Answer 20

So the answer is B?

Answer 21

I think. Right?

Answer 22

yes , ur correct ^_^

Answer 23

Thanks a ton!

Answer 24

remember this ,

having two statment that contradict each others means contradiction proving ok ?

Answer 25

Got it

Answer 26

np ! ur wlc ^_^