Question

help please :)
Suppose BD congruent to CA and AB congruent to CD. Can you use the SSS Postulate or the SAS Postulate to prove triangle ABD CONGRUENT TO triangle DCA?


by SAS only
by SSS only
both apply
neither apply
https://rialto5819-ehs-pps.gradpoint.com/Resource/2146263,72F,0,0,0,0,0/Assets/testitemimages/geometry_a/congruent_triangles/geoa2218q.bmp

Answer 1

Why are you studying euclidean geometry

Answer 2

its just a class i have to take why you ask :)

Answer 3

@knowel A little tricky.

Clearly, three sides of one triangle are congruent to three sides of the other. Which postulate is that?

Regarding SAS, I thought possibly so but now have decided not.

Answer 4

sss only

Answer 5

Well, that's what I got.

Answer 6

@primeralph What is your take on the answer to this problem? Thanks for a reply.

Answer 7

Both.

Answer 8

why both

Answer 9

@primeralph How did you get SAS? There are no given angles nor can any congruent angles be deduced as I see it.

Answer 10

If you were in a lower level, I'd say sss only, but you are expected to be able to deduce that the same base would yield the same angle opposite it (between the two discussed sides).

Answer 11

@Directrix Two sides already specified with constraints. Only one possible angle can be between them.
The common base limits holds down the angle to a common angle.

Answer 12

@Callisto what do you think about the answers there giving ?

Answer 13

i think both cos they prove ur theses of congruency