What are congruent triangles?

Two triangles are said to be congruent if they have the same shape and size.

Every triangle has 3 angles and 3 sides. How many of these 6 conditions (angles and sides) should be given to check if a pair of triangles are congruent?

Is it true?

Sally said that the class can construct congruent triangles given angle A = 50°, BC = 9cm and AC =10cm. Give your comments.

Alternative Method to Construct Angle Bisector?


The following diagram shows a way to construct an angle bisector for angle ABC using a ruler. Why does the method work?