Nessa proved that these triangles are congruent using ASA. Roberto proved that they are congruent using AAS. Which statement and reason would be included in Roberto’s proof that was not included in Nessa’s proof? Given: angle cap b is congruent to angle cap n ; line segment cap b cap c is congruent to line segment cap n cap m ; angle cap c is right; angle cap m is right Prove: triangle cap A cap b cap c is congruent to triangle cap q cap n cap m
Answer
A
line segment cap b cap c is congruent to line segment cap n cap m because it is given.
B
angle cap c is congruent to angle cap m because right angles are congruent.
C
line segment cap A cap b is congruent to line segment cap q cap n because they are both opposite a right angle.
D
angle cap A is congruent to angle cap q because of the third angle theorem.