Question

Hi, could you please help me understand why I got some of the answers wrong?

Answer 1

For the figure in the right up

The two triangles have 2 equal angles and one equal side

Then it should be AAS

Triangle AOC is congruent to triangle BOC

You must write the name of the triangles with equal angles

Since < AOC = < BOC ------- Given

Since Since OC = OC ------- common side

By using the AAS theorem of congruency

Then triangle AOC is congruent to triangle BOC

For the figure in the right down

Since OX // YC, then

Since

Since OC = CB ------- Given

Then by using the AAS theorem of congruency

Triangle XCO is congruent to triangle YBC