Question

Given the diagram above and the fact that 10 years ago

Answer 1

What program are you doing this on?

Answer 2

i m here

Answer 3

thank you @arindameducationusc I am so confused

Answer 4

On the Diagram we know that the segments BC and AD are congruent, also that the angles BCD and angle ADC are congruent.
Now, you might observe that both triangles have one same side, which is CD, and we can see it clear on the name of each: T.BCD and T.ACD the fact that two of their vertices coincide means that they share a side.
Now, because they share the same side, we can establish the axiom of rectivity:
\[CD=CD\]
Now, we know that two sides and the angle between them are congruent, this being:
\[BC=AD\]
\[\angle BCD = \angle ADC\]
\[CD=CD\]
Now with that informaton we can use the SAS theorem of congruency and we can conclude that T.BCD and T.ACD.

Answer 5

Since we know that the triangles are congruent, we can say for sure that:
\[\angle B \cong \angle A\]

Answer 6

Go with @ Owlcoffee, He is good....

Answer 7

Thank you @Owlcoffee I'm almost positive the answer is B, then.. Seeing how BC=AD. That was the only option in the multiple choice

Answer 8

The answer is not "B". Because BC=AD is given information.

Answer 9

oh crap

Answer 10

what are your choices?

Answer 11

well you its not B. and D is also wrong... so is either A or C

Answer 12

whatever, I tried lol

Answer 13

Its A

Answer 14

yeah

Answer 15

cause that is common base between the triangles..... Did you get it @jillina29 ?

Answer 16

Thank you both :) @arindameducationusc @nogoodatgeometry