In the figure below, the following is true: angle ABD is congruent to angle CDB and angle DBC is congruent to angle BDA. How can you justify that triangle ABD is congruent to triangle CDB?

Diagram will be in the comments. Please wait a few moments.

Options:
SAS
SSS
ASA
CPCTC

Question

In the figure below, the following is true: angle ABD is congruent to angle CDB and angle DBC is congruent to angle BDA. How can you justify that triangle ABD is congruent to triangle CDB?

Diagram will be in the comments. Please wait a few moments.

Options:
SAS
SSS
ASA
CPCTC

anonymous · Answer

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Drawing is not to scale.

phi · Answer

is this the same figure as before?

anonymous · Answer

No, the other figure had marks and angle symbols in it and such. The shape was slightly different as well.

phi · Answer

Hopefully they told you more info?

anonymous · Answer

No, just the information in the question itself. So, basically it is kind of the same concept, I suppose, except it is not shown in the diagram itself. I believe that it would be the CPCTC for this one.

phi · Answer

no, not CPCTC

when they ask
How can you justify that triangle ABD is congruent to triangle CDB?

that means you are looking for some parts of the triangles are congruent (example, if you knew a side, an angle, and a side in that order were the same for both triangles, then you know entire triangles are the same.

But to do that you need to know something.  Did they say this was a parallelogram?

anonymous · Answer

No, they didn't.

phi · Answer

ok, well let's read the question

it says
angle ABD is congruent to angle CDB 

can you label these angles with a ) mark?

anonymous · Answer

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