There are two triangles. For the first triangle, the vertices are A, B and C. m<A =65 degrees, m<B=70 degrees and BC¯¯¯¯¯¯¯¯ = 8 . The second triangle has the vertices E, F and D. m<F = 65 degrees and m<D = 45 degrees. DE¯¯¯¯¯¯¯¯=8 . Are the two triangles congruent and if yes, how do you know? Which segment is congruent to AB¯¯¯¯¯¯¯¯ (1 point)
The two triangles are not congruent. We can determine this because the given information does not provide enough congruent angles or congruent sides. In order for two triangles to be congruent, we need to have either three congruent angles or three congruent sides, along with the corresponding angles.
Since angles A and B have different measures in the two triangles, they are not congruent angles. Additionally, we do not know the measure of angle C in the first triangle or the measure of angle E in the second triangle, so we cannot determine if they are congruent.
Therefore, we cannot conclude that the two triangles are congruent.
As for the segment that is congruent to AB¯¯¯¯¯¯¯¯, there is not enough information given to determine that in this problem.