Question

Two right-angled triangular blocks, ABC and DEF, have

• A. Yes, by SSS
• B. Yes, by RHS
• C. Yes, by SAS
• D. Yes, by ASA

Answer 1

Answer:

B. Yes, by RHS

Yes, the triangles are congruent.

Given:

• $(\angle B = \angle E = 90^\circ)$

• $Hypotenuse (AC = DF)$

• One corresponding side (AB = DE)

These satisfy the Right-angle–Hypotenuse–Side (RHS) congruence criterion (also called the HL criterion).

Answer:

$\boxed{\triangle ABC \cong \triangle DEF \text{ by the RHS (Hypotenuse–Side) congruence rule}.}$