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
The two triangles are not congruent. We can determine this by comparing their angles and side lengths.
For the first triangle, we know that angle A is 65 degrees and angle B is 70 degrees. The sum of the interior angles in a triangle is always 180 degrees, so angle C must be 180 - 65 - 70 = 45 degrees.
For the second triangle, we know that angle F is 65 degrees and angle D is 45 degrees. The sum of the interior angles in this triangle is also 180 degrees.
However, the side lengths do not match. In the first triangle, BC is given as 8 units. In the second triangle, DE is also given as 8 units. But there is no information about the length of the other sides in either triangle, so we cannot conclude that they are congruent.
Therefore, the two triangles are not congruent, and no segment is congruent to AB.