Angle Angle Side (AAS) Congruence - If any two angles and a non-included side of one triangle are equal to the corresponding angles and side of another triangle; the two ttriangles are congruent.

Assertion: In triangles ABC and PQR, angleA= angleP, angleC= angleR and AC=PR . The two triangles are congruent by ASA congruence. Reason : If two angles and included side of a triangle are equal to the corresponding angles and side of the other triangle then the triangles are congruent by ASA congruence criteria. (a) Assertion and reason both are correct and reason is the correct explanation for the assertion. (b) Assertion and reason both are correct and reason is not the correct explanation for the assertion. (c) Assertion is correct but reason is wrong. (d) Reason is correct but assertion is wrong.

If any two angles and a non-included side of one triangle are equal to the corresponding angles and side of another triangle, then the two triangles are congruent. GIVEN : Two s A B C and D E F such that /_A=/_D ,/_B=/_E ,B C=E F TO TROVE : A B C~=D E F Figure

''If two angles and a side of one triangle are equal to two angles and a side of another triangle then the two triangle must be congruent.'' Is the statement true ? Why?

Angle-Side-Angle (ASA) Congruence-Two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle.

In two right triangles,one side and an acute angle of one triangle are equal to one side and the corresponding acute angle of the other triangle.Prove that the two triangles are congruent.

In two right triangles,one side and an acute angle of one triangle are equal to one side and the corresponding acute angle of the other triangle.Prove that the two triangles are congruent.

Theorem 7.4 (SSS congruence rule) : If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

Side Side Side(SSS) Congruence: Two triangles are congruent if the three sides of one triangle are equal to the corresponding three sides of the other triangle.

If two angles of one triangle are respectively equal to two angles of another triangle; then two triangles are similar.