Question

Can some please explain how to do #37 to me.... i'm not really sure how.
http://prntscr.com/8dqn9t

Answer 1

@pooja195, do you remember the acronym for congruent triangles?

Answer 2

No :/

Answer 3

You don't remember what CPCTC stands for?

Answer 4

Corresponding parts of a triangle are congruent...? right?

Answer 5

Correct, Corresponding parts of congruent triangles are congruent. What do you think this means for \(\triangle{ABC} \cong \triangle{DEF}\) ?

Answer 6

that equal sign with the squiggly thingy means that they correspond
so triangle ABC corresponds to triangle DEF?

Answer 7

it means congruent or equal trinagles

Answer 8

same thing -.-

Answer 9

Well, @pooja195, here's a bit of insight for you:

\(\triangle{ABC} \cong \triangle{DEF}\) means the following:

\(\angle{A} \cong \angle{D}\)
\(\angle{B} \cong \angle{E}\)
\(\angle{C} \cong \angle{F}\)

\(\overline{AB} \cong \overline{DE}\)
\(\overline{BC} \cong \overline{EF}\)
\(\overline{AC} \cong \overline{DF}\)

Answer 10

this is confusing... :/

Answer 11

The corresponding angles have the same measure and the corresponding segments have the same length.

Answer 12

So DEF is 5?

Answer 13

I think what you meant to say is that since \(\overline{AC} = 5\) then \(\overline{DF} = 5\)

Answer 14

@pooja195, what does the problem ask us to find?

Answer 15

Find DF and m<B

Answer 16

Okay, and we found \(\overline{DF}\). Now we have to find \(m\angle{B}\). Any ideas on that at all based on what was explained above?

Answer 17

B and E are congruent

Answer 18

B and E correspond with each other and therefore have the same measure.

Answer 19

so 100 degrees?

Answer 20

\(m\angle{E} = 100^{\circ}\), therefore \(m\angle{B} = 100^{\circ}\). That's how you would say it properly. Saying just "100 degrees" isn't really saying anything other than just "announcing" 100 degrees. Somebody might think you're referring to the temperature outside.

Answer 21

Aight thanks :)