Question

II

Answer 1

I would go with C.

Answer 2

For there to be a similarity, then the following must be true:

\[\frac{JL}{LK} = \frac{JM}{MN}\]

Answer 3

THEY ARE NOT CONGRUENT

Answer 4

I have one more question, if you don't mind.

Answer 5

\[JL = 24 + 8 = 32\]

Answer 6

since \(32/16 = 24/12\), and the included angle is the same measure, then they are similar by SAS (side-angle-side), but not congruent, since they are obviously different sizes.

Answer 7

Now on to your second question...

Answer 8

That one is C. Transitive property of anything is basically:

If A is B, and B is C, then A must be C

Answer 9

Okay, thank you!

Answer 10

np!

Answer 11

However, the first question you said that 'They are neither similar nor congruent', correct?

Answer 12

No, I was just saying they are not congruent, which means they would have to be the same exact shape and size. They are similar, since they are the same exact shape, but different sizes

Answer 13

So, would that be A?

Answer 14

Or still C?

Answer 15

They are not congruent. They are similar. So that eliminates B and C right?

Answer 16

Correct.

Answer 17

In order for the shapes to be similar, their side lengths MUST be proportional

Answer 18

\[\frac{JL}{LK} = \frac{JM}{MN} = \frac{JK}{JN}\]

Answer 19

since we already figured out that

\[\frac{JL}{LK} = \frac{JM}{MN} = \frac{32}{16} = \frac{24}{12} = 2\]

That means the side lengths are proportional