Question

Write the test according to which the triangles in the given figure are congruent.​

Answer 1

Answer:

sss test

AB=PQ

BC=QR

AC=PR

Answer 2

Question :-

Write the test according to which the triangles in the given figure are congruent.

Required Answer :-

The given triangles are congruent by SSS ( Side Side Side) congruence rule.

Learn More :-

Congruent Triangles :- Two triangles are congruent if and only if one of them can be made to superpose on the other so as to cover it completely and exactly.

• If ∆PQR is congruent to ∆ABC, we write ∆PQR ≅ ∆ABC
• ∆PQR ≅ ∆ABC, means that when you place ∆PQR on ∆ABC, the vertices of ∆PQR will fall on the vertices of ∆ABC in the following manner

$\bf \small{P} \longleftrightarrow {A}$

$\bf \small{Q} \longleftrightarrow {B}$

$\bf \small{R} \longleftrightarrow {C}$

Corresponding sides

$\bf \small\overline{PQ} \longleftrightarrow \overline{AB}$

$\bf \small\overline{QR} \longleftrightarrow \overline{BC}$

$\bf \small\overline{RP} \longleftrightarrow \overline{CA}$

Corresponding angles

$\bf \small\angle{P} \leftrightarrow\bf \small\angle{A}$

$\bf \small\angle{Q} \leftrightarrow\bf \small\angle{B}$

$\bf \small\angle{R} \leftrightarrow\bf \small\angle{C}$