Question

What are the properties of congruent triangles with respect to sides and angles.​

Answer 1

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

Hope it helps !!

Answer 2

Answer:

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

Step-by-step explanation:

Two triangles are said to be congruent if their sides have the same length and angles have same measure. Thus two triangles can be superimposed side to side and angle to angle.Congruent triangles are triangles having corresponding sides and angles to be equal. Congruence is denoted by the symbol ≅.  They have the same area and the same perimeter.The full form of CPCT is Corresponding parts of Congruent triangles. Congruency can be predicted without actually measuring the sides and angles of a triangle. Different rules of congruency are as follows.

SSS (Side-Side-Side)

If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule.

SAS (Side-Angle-Side)

If any two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.

ASA (Angle-Side-Angle)

If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.

AAS (Angle-Angle-Side)

AAS stands for Angle-angle-side. When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.

If there are two triangles say ABC and DEF, then as per AAS rule:  

∠B = ∠E

∠C = ∠F

AB = DE

Hence,

Δ ABC ≅ Δ DEF

RHS (Right angle-Hypotenuse-Side)

If the hypotenuse and a side of a right- angled triangle is equivalent to the hypotenuse and a side of the second right- angled triangle, then the two right triangles are said to be congruent by RHS rule.