Two right-angled triangular blocks, ABC and DEF, have ÐB = ÐE = 90°. If the lengths of teh hypotenuses AC and DF are equal, and the sides AB and DE are equal, are the triangles congruent? If so, by what rule?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Yes, by RHS.
Given:
∠B = ∠E = 90°
AC = DF (hypotenuse)
AB = DE (one side)
In right triangles, if the hypotenuse and one side are equal, the triangles are congruent by the RHS (Right angle–Hypotenuse–Side) rule.
Yes, the triangles are congruent by the RHS rule.