Careers360 Logo
IIT MBA Placements 2024: Salary, Highest Package, Average Package, Top Recruiters

CAT Congruence of Triangles - Practice Questions & MCQ

Edited By admin | Updated on Oct 04, 2023 04:20 PM | #CAT

Quick Facts

  • 4 Questions around this concept.

Solve by difficulty

Two triangles are congruent if two sides and a angle of one triangle are equal to the two sides and the included angle of the other triangle.

In an equilateral triangle ABC

If \Delta ABC\cong\Delta DEF the which of the following is true

Concepts Covered - 1

Congruence of Triangles

You must have observed that two copies of your photographs of the same size are identical. Similarly, two bangles of the same size, two ATM cards issued by the same bank are identical. You may recall that on placing a one rupee coin on another minted in the same year, they cover each other completely.

Do you remember what such figures are called? Indeed they are called congruent figures (‘congruent’ means equal in all respects or figures whose shapes and sizes are both the same)

For congruence, we use the symbol '{\color{Blue} \cong}\;'.

Congurent triangles: Two triangles are congruent if and only if one of them can be made to superpose on the other so as to cover it exactly.

Thus, congruent triangles are exactly identical.

Illustration 1: If \triangle A B C \cong \triangle D E F then we have

\angle A=\angle D, \angle B=\angle E, \angle C=\angle F \\ \text { and } A B=D E, B C=E F, A C=D F

Illustration 2: If \triangle A B C \cong \triangle FDE then we have

\angle A=\angle F, \angle B=\angle D, \angle C=\angle E \\ \text { and } A B=FD, B C=DE, A C=E F

Properties of Congruency in Triangle:

{\color{DarkBlue} (i)\text{ Every triangle is congruent to itself, i.e., }\triangle A B C \cong \triangle A BC.}

{\color{DarkBlue} \text { (ii) If } \triangle A B C \cong \triangle D E F \text { then } \triangle D E F \cong \triangle A B C.}

{\color{DarkBlue} \text { (iii) If } \triangle A B C \cong \triangle D E F, \text { and } \triangle D E F \cong \triangle P Q R \text { then } \triangle A B C \cong \triangle P Q R.}

"Stay in the loop. Receive exam news, study resources, and expert advice!"

Get Answer to all your questions

Back to top