Question

Given: Base ∡BAC and ∡ACB are congruent.

Prove: ∆ABC is an isosceles triangle.

When completed, the following paragraph proves that Line segment AB is congruent to Line segment BC making ∆ABC an isosceles triangle.

Construct a perpendicular bisector from point B to Line segment AC.
Label the point of intersection between this perpendicular bisector and Line segment AC as point D.
m∡BDA and m∡BDC is 90° by the definition of a perpendicular bisector.
∡BDA is congruent to ∡BDC by the definition of congruent angles.
Line segment AD is congruent to Line segment DC by by the definition

Answer 1

of a perpendicular bisector.

∆BAD is congruent to ∆BCD by the _______1________.
Line segment AB is congruent to Line segment BC because _______2________.
Consequently, ∆ABC is isosceles by definition of an isosceles triangle

Answer 2

1. congruent parts of congruent triangles are congruent
2. the definition of a perpendicular bisector

1. the definition of a perpendicular bisector
2. the definition of congruent angles

1. the definition of congruent angles
2. congruent parts of congruent triangles are congruent (CPCTC)

1. the definition of congruent angles
2. congruent parts of congruent triangles are congruent (CPCTC)

Answer 3

yeah!!!!!!

Answer 4

ty for coming to my rescue

Answer 5

any tips?

Answer 6

you guys there?

Answer 7

phi/ peachpi?

Answer 8

is this all one question?

Answer 9

sadly yes :(

Answer 10

These are boss monster problems, lol.

Answer 11

can any of you guys contribute? I know that isosceles triangles have two sides of the

same length and two congruent base angles.

Answer 12

are those the exact choices?

I would answer part 1 with something like SAS (side angle side)

Answer 13

Those are the four choices

Answer 14

Each with its one and two

Answer 15

That's what I was thinking as well. I don't like any of those.

Answer 16

Especially since both the third and fourth choice are identical...

Answer 17

what the crap!!!!!!!!!!!

Answer 18

excuse me for my language

Answer 19

but two identical answers

Answer 20

you can probably cross those off already, right?

Answer 21

This is definitely bogus
congruent parts of congruent triangles are congruent (CPCTC)

they mean corresponding parts of congruent triangles are congruent.

Answer 22

so only two answer choices are left, right?

Answer 23

I'm thinking number 2

Answer 24

1. the definition of a perpendicular bisector 2. the definition of congruent angles

Answer 25

number 1 sounds awkward

Answer 26

The CPCTC is the only part that looks correct to me. Since you're proving two triangles are congruent, and then showing one part of those triangles is congruent.

So really, it can't be the first or second.

Answer 27

then...

Answer 28

why are two answer choices exactly the same ?

Answer 29

1. the definition of congruent angles
2. congruent parts of congruent triangles are congruent (CPCTC)

1. the definition of congruent angles
2. congruent parts of congruent triangles are congruent (CPCTC)

Answer 30

so what answer choice should I pick?

Answer 31

The correct answers are:
1) the two triangles are congruent by "side-angle-side"
2) AB is congruent to BC by "CORRESPONDING parts of congruent triangles are congruent (CPCTC)"


if they don't give you those answers, it is a lousy question. Time to move on, because you are not learning anything with this nonsense.

Answer 32

the third of fourth one?

Answer 33

I agree with @phi

Answer 34

well... which one would you pick?

Answer 35

I might as well pick the one that is the closest to being right

Answer 36

which you said was either 3 or 4, right?

Answer 37

they could have made a typo

Answer 38

Flip a coin between 3 and 4, and make sure to talk to your teacher about the problem.

Answer 39

k

Answer 40

I'll definitely talk to her about it

Answer 41

k

Answer 42

can you guys help me with two more problems?

Answer 43

or these problems annoy you to the point of insanity?

Answer 44

these proof problems by the way

Answer 45

@luisz you are a life saver. x.x...

Answer 46

so which did it end up being?