Question

PLEASE HELP Indicate the method you would use to prove the two 's . If no method applies, enter "none". SSS

SAS

ASA

None

Answer 1

Answer: 1) ASA

2) none

3) ASA

Explanation:

In the first picture we have two angles and one included side of one triangle is congruent to corresponding two angles and one included side of another triangle, therefore by ASA postulate of congruence both triangles are congruent.

In the second picture , the two have two equal angles, the third angle of both triangles by using angle sum property =
`180^(\circ)-70^(\circ)-30^(\circ)=80^(\circ)`,

Now, two corresponding angles and one included side (10 units) of both triangles are congruent therefore by ASA postulate of congruence both triangles are congruent.

In the third picture, we have two triangle with one same vertex, then their vertical angles must be congruent.

Thus, in third picture, two angles and one included side of one triangle is congruent to corresponding two angles and one included side of another triangle, therefore by ASA postulate of congruence both triangles are congruent.