These figures are a photocopy of each other. You must have noticed two bangles of the same size, and shape, these are said to be congruent with each other. When an object is exactly similar to the other, then both are said to be congruent with each other. Every congruent object, when placed over its other counterpart, seems like the same figure.

Congruent figures are identical in size, shape and measure. The corresponding sizes between two triangles are sides in the same relative position. Two figures are similar if they have the same shape, but not necessarily the same size.

All congruent figures are similar but all similar figures are not congruent. For eg. A pair of triangles which are similar by A. A. A. test of similarity are not congruent pairs of triangles since the definite lengths of sides are unknown. In A B C and D E F, ∠ A = ∠ D = 50 o, ∠ B = ∠ E = 75 o and ∠ C = ∠ F = 55 o. Hence, A B C ∼ ...

⇒ Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal. ⇒ Two real-life examples of congruent shapes are : ( 1 ) Pages of book.

Congruent figures are the same shape and size. Similar figures are the same shape, but not necessarily the same size. Note that if two figures are congruent, then they are also similar, but not vice-versa.

⇒ If two figures are congruent, then they're exactly the same shape, and they're exactly the same size. ⇒ They may appear different because one is shifted or rotated a certain way, but they're still the same shape, and all the sides of one are the same length as the corresponding sides of …

Observe that for triangles to be similar, we just need all angles to be equal. But for triangles to be congruent, angles as well as sides should be equal. Hence, while congruent triangles are similar, similar triangles may not be congruent.

Consider the following two statements: Statement - 1: If two figures have same shape and same size then they are called congruent. Statement - 2: If two figures have equal area they are called congruent. Now, choose the correct option.

Answer: Congruent objects are basically exact replicas of each other. Thus, the relation of two items being congruent refers to as congruence. Question 3: Are parallel lines congruent? Answer: If a transversal cut two lines two parallel lines then the corresponding angles are congruent. Thus, when two lines are cut by a transversal and the ...

Fill in the blanks using the correct word given in brackets : (i) All circles are _____. (congruent, similar)