Question

name the congruent triangles and justify the reason for congruence. (1 point)
△abc≅△fde by sas
△abc≅△fde by hl
△abc≅△fed by sss
△abc≅ to △fed by asa

Explanation:

Step1: Check the SAS (Side - Angle - Side) condition

In \(\triangle ABC\) and \(\triangle FDE\), we have \(AC = FE=2.2\), \(\angle A=\angle F = 63^{\circ}\), and \(AB = FD\) (by counting the grid units, \(AB = 4 - 1=3\) units and \(FD=4 - 1 = 3\) units)

Step2: Verify the triangle congruence

Since two sides and the included angle of \(\triangle ABC\) are equal to the corresponding two sides and the included angle of \(\triangle FDE\), the SAS (Side - Angle - Side) congruence criterion is satisfied.

Answer:

\(\triangle ABC\cong\triangle FDE\) by SAS