Difine conofreeuncy of triangles
Answers
Answer:Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other
More formally, two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object. So two distinct plane figures on a piece of paper are congruent if we can cut them out and then match them up completely. Turning the paper over is permitted.
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What are Congruent Triangles?
Two triangles are said to be congruent if the three sides and the three angles of both the angles are equal in any orientation.
What is the Full Form of CPCT?
CPCT stands for Corresponding parts of Congruent triangles. CPCT theorem states that if two or more triangles which are congruent to each other are taken then the corresponding angles and the sides of the triangles are also congruent to each other.
What are the Rules of Congruency?
There are 5 main rules of congruency for triangles:
- SSS Criterion: Side-Side-Side
- SAS Criterion: Side-Angle-Side
- ASA Criterion: Angle-Side- Angle
- AAS Criterion: Angle-Angle-Side
- RHS Criterion: Right angle- Hypotenuse-Side
What is SSS congruency of triangle?
If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule.
What is SAS congruence of triangles?
If any two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.
What is ASA congruency of triangles?
If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.
What is AAS congruency?
When two angles and a non-included side of any two triangles are equal then they are said to be congruent.
What is RHS congruency?
If the hypotenuse and a side of a right- angled triangle is equivalent to the hypotenuse and a side of the second right- angled triangle, then the two right triangles are said to be congruent by RHS rule.