Question

Dora drew JKL and MNP so that K N, JK = 6, MN = 18, KL = 4, and NP = 12. Are JKL and MNP similar? If so, identify the similarity postulate or theorem that applies.

Answer 1

\[\frac{ JK }{ KL }=\frac{ MN }{NP } \frac{ 6 }{ 4 }=\frac{ 18 }{ 12}\]

Now u cross multiply. if both numbers are equal, they are similar. In this case, they are similar. 6 x 12 = 4 x 18
72=72

Answer 2

though the two corresponding sides of the triangles mentioned are proportional (proportionality being 1:3 ) but they need not be similar
for similarity either the third corresponding sides must be proportional or the included angle between the two proportional sides must be equal

Answer 3

So is it SAS
(Side angle side)

Answer 4

Or SSS
(Side side side)

Answer 5

Um, i was never good with that. I dont want to mislead you. lol

Answer 6

Ok thnks anyways it helped

Answer 7

but... if i had to choose i would say SSS because we know 2 sides are similar/proportional. So we can conclude the same for the 3rd side.... and the problem doesn't say anything regarding an angle so i would not choose SSA or a s s backwards, lol.

Answer 8

Thnk you very much :D

Answer 9

No problem

Answer 10

\[\large \frac{JK}{MN}=\frac{KL}{NP} =\frac{6}{18}=\frac{4}{12} \]Creates a \(1:3\) ratio...hm..

Do you have options?

Answer 11

I got it thank you anyways @FilthyMcNasty was correct
It was similar-SSS

Answer 12

Oh I see. if two sides in a triangle are congruent, then the 3rd side must be congruent as well :) Cool.

Answer 13

Yes thank you tho

Answer 14

NP ^^

Answer 15

I have one more question how do I simplify
3x=x+10

Answer 16

bring the x's to one side and your constants on the other. then solve. Start by subtracting x to both sides.

3x - x = -x +x + 10

Simplify the equation

2x = 10.

Divide both sides by 2.

2x =10/2

x= ?

Answer 17

Ok thnk you