Monday, 24 July 2017

Triangles II: Congruent Triangles and Similar Triangles doesn't have to be hard

In this post, we will discuss Congruent Triangles and Similar Triangles and also a Few Properties Related to them for SSC CGL Exam.
Congruent triangles


Properties related to Congruent Triangles and Similar Triangles are difficult to understand and remember. However, questions related to congruent triangles and similar triangles are often asked in SSC Exams and these questions can’t be skipped. In this post, we will discuss properties related to congruent triangles and similar triangles which will help you solve questions asked on them.

This is the second post in the series of triangles. Before moving further quickly review different types of triangles which help you to have a better understanding of congruent triangles and similar triangles.
Congruent triangles

Congruent Triangles

Congruent triangles are similar in shape and size. The angles of one triangle will be equal to the corresponding angles of another triangle. The sides of the triangles will be equal to the corresponding sides of another triangle.

i.e. if one triangle is kept above another triangle, both the triangle will completely co-inside with each other perfectly.


Congruent triangles


Properties: Congruent Triangles

Side Side Side Congruency (SSS):
Two triangles are congruent when three sides of a triangle are equal to the corresponding sides of the other triangle.


In the given triangle ABC and PQR, 

AB = PQ, BC = QR and AC = PR. 

Congruent triangles

Side Angle Side Congruency (SAS):

Two triangles are congruent if two sides and an angle between them is equal to the corresponding two sides and the angle between the other triangle. 


In the given triangle ABC and PQR 

AB = PQ, angle B = angle Q and BC = QR 


Congruent triangles

Angle Side Angle Congruency (ASA):

Two triangles are congruent if 2 angles and any one side is equal to the corresponding 2 angles and side of another triangle.

In the given triangle ABC and PQR 
angle A = angle P, angle B = angle Q and BC = QR
Congruent triangles

Right Hypotenuse Side (RHS):

To check the congruency of a right angled triangle - right angle, hypotenuse and any one side of a triangle is suppose to be equal to the corresponding right angle, hypotenuse and the corresponding side of the another right angled triangle.

Congruent triangles


Similar Triangles:

Similar triangles are similar in shape but not in size.
Congruent triangles

The angle of one similar triangle is equal to the corresponding angle of the other similar triangle. 


The side of one triangle is not equal to the other side of the triangle but they are in proportion. As you can see below, 
Congruent triangles

The squares of the side of similar triangles are equal to the proportion of the similar triangles. 


Congruent triangles
Hope it's now easier for you to attempt questions that are based on congruent triangles and similar triangles. 

Do write in the comment section below on how this post has helped you understand properties of Congruent triangles and Similar triangles asked in mock tests for SSC CGL. Also, download free questionnaire for practice!

Stay tuned for our next blog.
Congruent triangles
Whatsapp Share Share on whatsapp

0 comments:

Post a Comment