Question

Can someone please walk me through this? proving congruent triangles

Answer 1

do you know the similarities theorems of triangles ? hope this helped you so much

Answer 2

moment please

Answer 3

I need to make a two column proof

Answer 4

do you have any idea about how you start it ?

Answer 5

1. given AB = AD and AC = AE - yes ?

Answer 6

Yes, I know I have to start with the given information.

Answer 7

So what angles can you prove are the same, without knowing similarity

Answer 8

so how you know than two lines intersect in a point same with this line BD intersect line CE in point A the central angles formed how are ?

Answer 9

these opposite angles formed are congruent - yes ?

Answer 10

so from this result than these opposite angles are congruent ,that the opposite sides of these congruent angles are congruent too

Answer 11

and with this you know that every sides of these two triangles are congruent
yes ?

Answer 12

using these given details too

Answer 13

do you understand me ?

Answer 14

But the given information only states that the side lengths of AB and AD, and CA and AE are the same. How do I prove that the angle measure is the same then?

Answer 15

but you know that AB and AD form a line BD with midle point A - yes ?
and you know too that AC and AE form a line CE with midle point A - yes ?

Answer 16

and hope you know that to congruent sides opposite angles are congruent too

Answer 17

yes ?

Answer 18

using these details you know all necessary to prove easy that these triangles are congruent sure

Answer 19

@Scooby6363 your opinion about this please ?

Answer 20

Accidently deleted 4 paragraphs worth of words, retyping...

Answer 21

Sorry for being slow in responding, I did not notice this post.

The two givens that have been given to you are only used to fulfill 2 of the 3 criteria needed to prove that these two triangles are congruent. The best thing you can do in this situation is write down the picture and mark congruent sides in order to attempt to answer the problem. You may remember some triangle congruence theorems heard in class such as: ASA, SSS, AAS, and SAS. If you look at the picture, you may notice that you can easily use SAS by only understanding how to prove that <CAB is congruent to <EAD. To prove this, you must use a very simple and recurring postulate that, "Vertical Angles are congruent." You may have heard this term in class, where if two angles are opposite of eachother then they are classified as vertical angles and congruent with eachother.

Now that we have proved that these two angles are congruent with each other, it is time to finish the two-column proof. For your last statement, use the "Prove" statement supplied above the picture shown. If your teacher allows it, your last reason can just be, "Side-Angle-Side Congruence Theorem." Stricter teachers may force you to go more in-depth.

To summarize it should look something like this:

1. AB congruent to AD | 1. Given
2. CA congruent to EA | 2. Given
3. <CAB congruent to <EAD | 3. Vertical Angles are congruent
4. ΔABC congruent to ΔADE | 4. Side-Angle-Side Congruence Theorem

Answer 22

they expect you to know this fact: