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Table of Contents

- What are the rules of congruence?
- What is SSS AA SAS?
- What is SSS triangle congruence?
- What are the 4 tests of congruence in a triangle?
- When two triangles are congruent do you get 5 congruent parts?
- Which criterion Cannot be used to draw a pair of congruent triangle?
- How do we use triangles in everyday life?
- What does congruent mean in math?
- Why do we learn congruence of triangles?
- What is the purpose of congruence?
- Who is the father of congruence?

There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.

- SSS (side, side, side) SSS stands for “side, side, side” and means that we have two triangles with all three sides equal.
- SAS (side, angle, side)
- ASA (angle, side, angle)
- AAS (angle, angle, side)
- HL (hypotenuse, leg)

SSS (side-side-side) All three corresponding sides are congruent. SAS (side-angle-side) Two sides and the angle between them are congruent. ASA (angle-side-angle)

In these triangles, you can see that all three pairs of sides are congruent. This is commonly referred to as “side-side-side” or “SSS”. The SSS criterion for triangle congruence states that if two triangles have three pairs of congruent sides, then the triangles are congruent.

Two triangles are said to be congruent if and only if we can make one of them superpose on the other to cover it exactly. These four criteria used to test triangle congruence include: Side – Side – Side (SSS), Side – Angle – Side (SAS), Angle – Side – Angle (ASA), and Angle – Angle – Side (AAS).

Answer: Five pairs of congruent parts can be three pairs of sides and two pairs of angles. In that case, SAS or ASA criterion would prove them to be congruent.

SSA =The SSA condition (Side-Side-Angle) which specifies two sides and a non-included angle (also known as ASS, or Angle-Side-Side) does not by itself prove congruence.

In architecture similar triangles are used to represent doors and how far they swing open. Also when you use shadows that make triangles to find the height of an object. You can use that find the height of actual objects and they can also be used to stabilize a bridge.

Two shapes that are the same size and the same shape are congruent. They are identical in size and shape.

For two polygons to be congruent, they must have exactly the same size and shape. This means that their interior angles and sides must all be congruent. That’s why studying the congruence of triangles is so important–it allows us to draw conclusions about the congruence of polygons, too.

Congruency is one of the fundamental concepts in geometry. This concept is used to classify the geometrical figures on the basis of their shapes. Two geometrical figures are said to be congruent, if they have same shape and size. For example: Two line segments are congruent if they have same…

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