Question

which of the following statements is true about the triangles below?

triangle ABC congruent to triangle ABD by SSS
triangle ABC congruent to triangle ABD by ASA
triangle ABC congruent to triangle ABD by SAS
triangle ABC congruent to triangle ABD by AAA

Answer 1

were you able to get anywhere?

Answer 2

i dont understand how to do the sss asa sas aaa part

Answer 3

see the angle markers? The similar markers mean that the two angles are congruent

Answer 4

Notice you have 2 pairs of these markers. So you have a pair of congruent angles.

Between these angles you have 1 pair of sides. They are the same side, so AB = AB (reflexive property)

Answer 5

i think they are congruent by ASA

consider the two triangles ABC and ABD
angleCAB = angleDAB
side AB =side AB
angleABC = angle ABD

so by SAS congruency the two triangles are congruent

the right answer would be second one!!
triangle ABC congruent to triangle ABD by ASA

i hope it helped :P