Write down all properties of congruence of triangle with their examples
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Triangles are congruent if:
SSS (side side side) All three corresponding sides are equal in length. ...
SAS (side angle side) A pair of corresponding sides and the included angle are equal. ...
ASA (angle side angle) ...
AAS (angle angle side) ...
HL (hypotenuse leg of a right triangle)
For examplee Mathematics Tutorials
Congruent Triangles Examples
Postulates and theorems on congruent triangles are discussed using examples. More congruent triangles problems with detailed solutions are presented.
Side-Angle-Side (SAS) Congruence Postulate
If two sides (CA and CB) and the included angle ( BCA ) of a triangle are congruent to the corresponding two sides (C'A' and C'B') and the included angle (B'C'A') in another triangle, then the two triangles are congruent.
Side-Angle-Side (SAS) Congruence
Example 1: Let ABCD be a parallelogram and AC be one of its diagonals. What can you say about triangles ABC and CDA? Explain your answer.
sas Congruence example
Solution to Example 1:
In a parallelogram, opposite sides are congruent. Hence sides
BC and AD are congruent, and also sides AB and CD are congruent.
SSS (side side side) All three corresponding sides are equal in length. ...
SAS (side angle side) A pair of corresponding sides and the included angle are equal. ...
ASA (angle side angle) ...
AAS (angle angle side) ...
HL (hypotenuse leg of a right triangle)
For examplee Mathematics Tutorials
Congruent Triangles Examples
Postulates and theorems on congruent triangles are discussed using examples. More congruent triangles problems with detailed solutions are presented.
Side-Angle-Side (SAS) Congruence Postulate
If two sides (CA and CB) and the included angle ( BCA ) of a triangle are congruent to the corresponding two sides (C'A' and C'B') and the included angle (B'C'A') in another triangle, then the two triangles are congruent.
Side-Angle-Side (SAS) Congruence
Example 1: Let ABCD be a parallelogram and AC be one of its diagonals. What can you say about triangles ABC and CDA? Explain your answer.
sas Congruence example
Solution to Example 1:
In a parallelogram, opposite sides are congruent. Hence sides
BC and AD are congruent, and also sides AB and CD are congruent.
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Answer:
Properties of congruence of triangle
The corresponding sides and angles of congruent triangles are equal. There are basically four congruency rules that proves if two triangles are congruent.
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Conditions for Congruence of Triangles:
SSS (Side-Side-Side)
SAS (Side-Angle-Side)
ASA (Angle-Side-Angle)
AAS (Angle-Angle-Side)
RHS (Right angle-Hypotenuse-Side)
Step-by-step explanation:
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