Question

I need help with 64

Answer 1

What's the bar over B'C' mean?

Answer 2

It does not mean anything. I just need the answer.

Answer 3

Just do it how it is, don't worry about the bar please.

Answer 4

Do you see that the triangles are congruent?

Answer 5

Yes

Answer 6

>> What's the bar over B'C' mean? Segment is what the bar means.

Answer 7

Then to find B'C', all you have to do is look at the other one.

Answer 8

So what would be my answer, or how do I set up the work?

Answer 9

@Directrix, is that as opposed to the little angle marks I sometimes see on these problems?

Answer 10

The question is "the length of B'C'"

It's a number. That number is your answer.

Answer 11

I don't get it. Can you write it down please on here and show me?

Answer 12

Look...what's the length of BC?

Answer 13

>> little angle marks Give me an example of a little angle mark.

Back on that bar thing, segment B'C' is read as: segment B prime C prime.
Those primes indicate that point B' corresponds to point B in the other similar polygon. It's a cool way to indicate corresponding vertices.

Answer 14

It's 11

Answer 15

Correct. And what's the definition of congruency?

Answer 16

Same

Answer 17

So wait my answer is 11?

Answer 18

Correct again.

So if BC is 11, then what is B'C'?

Answer 19

Do I divide or multiply?

Answer 20

You don't need to do anything fancy, it's just plain old "11".
BC = B'C'
B'C' = BC

Answer 21

So it would also be 11?

Answer 22

YES!!!!!

Answer 23

Overall 11 is my answer

Answer 24

The answer to #64 is 11

Answer 25

The quadrilaterals are congruent so corresponding sides, by definition of congruent polygons, would be congruent.

Wow, I read "congruent" as similar. Of course, congruence is a special case of similarity when the ratio of corresponding sides is one to one.

Answer 26

And thanks, @Directrix for the "bar" info.

It's kind of confusing because when I see 2 plane figures like that and know they're congruent, when I see B'C' I automatically assume BC, so the bar seems kind of superfluous. :-)

Answer 27

Well, BC alone could mean so many things.
As is, BC is defined to be the length of segment BC. So, segment BC is a set of points whereas BC is a real number.
Then, there is ray BC, line BC, blah, blah,blah.
The "hat" BC wears is significant. @sid28

Answer 28

@qweqwe123123123123111 ^^^^ I mistakenly pinged @sid28

Answer 29

One of these days I ought to actually sign up for one of these courses just to learn the finer points like these... :-)