Question

In ΔABC shown below, ∠BAC is congruent to ∠BCA.


Given: Base ∠BAC and ∠ACB are congruent.

Prove: ΔABC is an isosceles triangle.

When completed (fill in the blanks), the following paragraph proves that is congruent to making ΔABC an isosceles triangle.

Construct a perpendicular bisector from point B to .
Label the point of intersection between this perpendicular bisector and as point D.
m∠BDA and m∠BDC is 90° by the definition of a perpendicular bisector.
∠BDA is congruent to ∠BDC by the _______1________.
1001_g3_q1_ad-copy.gif is congruent to 1001_g3_q1_dc1.gif by ______

Answer 1

I'm terrible at triangles. Sorry.

Answer 2

@mathmale

Answer 3

yay :)

Answer 4

I think its D

Answer 5

Best to give your reasons if you "think it's D;" otherwise I have absolutely nothing to go by.

Can you think of a reason why the measure of angle BDA is the same as the measure of angle BDC? Or, in other words, that the two angles are congruent?

Answer 6

What does "congruent" mean to you?
Please note that there were supposedly some photo (jpg) files in your problem statement, but no images are visible.

Answer 7

∠BDA is congruent to ∠BDC by the is ASA because it's angle side angel

Answer 8

because the bisector is both 90 degrees on both sides

Answer 9

All right. What does "isosceles" mean to you?

Answer 10

2 sides congruent

Answer 11

and 1 side abstract

Answer 12

I get your drift, although I'd say "2 sides are equal," and would not use the word "abstract" to describe the 3rd side. The 3rd side doesn't matter if the other 2 sides are equal.

You have shown that the triangles are congruent, meaning that the slant side of one equals the slant side of the other in length. Therefore the triangle is isosceles. OK?

Answer 13

yes and? @mathmale

Answer 14

I knew that lol

Answer 15

glad you knew that. But then why post the question? What kind of help did you want?

Answer 16

so the answer D?

Answer 17

I much prefer NOT to respond to "answer is D" questions. You haven't answered my questions (above).

Answer 18

what question didnt i just answer it..

Answer 19

what computer are you using?

Answer 20

"glad you knew that. But then why post the question? What kind of help did you want?"

Answer 21

No, a Hewlett-Packard desktop.

Answer 22

Looks like we have shown that that first triangle is isosceles. I'd suggest you move on.

Answer 23

im going to get a screenshot for you

Answer 24

@mathmale

Answer 25

can you open that file... if you can you will understand what i need help with

Answer 26

It's so much easier to understand what you're working on with that screen shot. Thank you.
So, where are you in the solution of this problem?

Answer 27

no problem lol

Answer 28

i think 1 is ASA

Answer 29

Note that your problem statement shows the numerals 1, 2, 3, and so on, but they are not defined. You might need to take another screen shot and share it.

Answer 30

You'll need to be more specific. Which question are you answering when you type "ASA?"

Answer 31

1

Answer 32

So much better when I have access to those statements 1, 2, 3, ...
Communicating your math problem accurately to a helper is one of the most important things you can do.

Answer 33

okay :) can we work on it because i have couple more and i have other homework as well THANKS FOR TAKING THE TIME help!

Answer 34

Please make your moves and explain them. In the first blank you're writing ...what? ... for what reason?

Answer 35

did you type in that '1' in the first blank?

Answer 36

1 is congruent because well is isosceles triangle

Answer 37

Too bad we haven't taken the time to draw the perpendicular bisector. The bisector divides the base of the triangle into 2 = parts, and forms 90 degree angles with the base.
So I would choose ASA. Remember, you MUST prove every statement as y ou go along. You can't say, "1 is congruent because well is isosceles triangle " because it's your job to prove that the triangle is isosceles. You haven't proved it yet.

Answer 38

I knew it was ASA but you acted like it was wrong so i chose a different one --.-