Concept Checkers – Congruence of Triangles – Class VII

‘Under a given correspondence, two triangles are congruent if the three sides of the one are equal to the three corresponding sides of the other.’
The above is known as

‘Under a given correspondence, two triangles are congruent if two sides and the angle included between them in one of the triangles are equal to the corresponding sides and the angle included between them of the other triangle.’
The above is known as :

‘Under a given correspondence, two triangles are congruent if two angles and the side included between them in one of the triangles are equal to the corresponding angles and the side included between them of the other triangle.’
The above is known as

‘Under a given correspondence, two right-angled triangles are congruent if the hypotenuse and a leg of one of the triangles are equal to the hypotenuse and the corresponding leg of the other triangle.’
The above is known as

For two given triangles ABC and PQR, how many matching’s are possible?

The symbol for congruence is

The symbol for correspondence is

If \(\triangle ABC \cong \triangle PQR\) , then AB corresponds to

If \(\triangle ABC \cong \triangle PQR\) , then BC corresponds to

If \(\triangle ABC \cong \triangle PQR\) , then CA corresponds to

If \(\triangle ABC \cong \triangle PQR\) , then \(\angle{A}\) corresponds to

If \(\triangle ABC \cong \triangle PQR\) , then \(\angle{B}\) corresponds to

If \(\triangle ABC \cong \triangle PQR\) , then \(\angle{C}\) corresponds to

We want to show that \(\triangle ABC \cong \triangle PEN\) and we have to use SSS criterion. We have AR = PE and RT = EN. What more we need to show?

We want to show that \(\triangle ABC \cong \triangle PEN\). We have to use SAS criterion. We have \(\angle{T} = \angle{N}\) , RT = EN. What more we need to show ?

We want to show that \(\triangle ABC \cong \triangle PEN\). We have to use ASA criterion. We have AT = PN,\(\angle{A} = \angle{P}\).What more we need to show ?