we can conclude that ∆ABC is congruent to ∆DEF with the following conditions
1.Hypotenuse-Leg (HL)
2.Side-Angle-Side (SAS)
What the conditions for congruence of triangles
Triangles are congruent if their corresponding sides and angles are equal. This is expressed by the Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Hypotenuse-Leg (HL) conditions. These criteria ensure a complete match between two triangles.
From the figure
Given
AB congruent to DE
and
AC congruent to DF
angle A congruent to angle D
angle A = angle D = 90⁰
angle B is congruent to angle E
angle B = angle E
we can conclude that ∆ABC is congruent to ∆DEF with the following conditions
1.Hypotenuse-Leg (HL)
2.Side-Angle-Side (SAS).