Which statement correctly names the congruent triangles and justifies the reason for congruence? (50 pts, will mark brainliest)
a. δbac ≅ δfde by hl
b. δbac ≅ δdef by hl
c. δbac ≅ δfde by aas
d. δbac ≅ δdef by aas

answer: i think the answers is c sorry if i’m wrong

step-by-step explanation:

explanation:

counting out the grid squares, we see that

fd = 3

ba = 3

so, fd = ba.

angle b is 45 degrees, so is angle f. these two angles correspond to one another. each of the answer choices lists point b as the first letter of triangle bac. the order is important. so the second triangle must start with f so that b and f pair up.

the answer is between choice a and choice c.

we can rule out choice a because the hl (hypotenuse leg) rule only applies to right triangles. the missing angle of each triangle is 180-63-45 = 72, which means we do not have a right angle anywhere in the triangle. so we dont have a right triangle.

we use aas because we have a pair of congruent angles (b = f = 45, c = e = 63) and we have a pair of congruent sides (ba = fd = 3). note how side df is not between the two angles originally marked (e and f). the same can be said about side ba not being between the angles b and c.