Conditions for the Congruence of Triangles

The conditions for the congruence of triangles are defined by three angles and three sides i.e. the six measuring parts. But out of these if three are properly satisfied, then automatically the other three are also satisfied. There are four such cases known as axioms for congruency.

To tell that the triangles are congruent if:

SSS (Side Side Side postulate) congruent triangles condition

SAS (Side Angle Side postulate) congruent triangles condition

ASA (Angle Side Angle postulate) congruent triangles condition

AAS (Angle Angle Side postulate) congruent triangles condition

RHS or HL (Right angle Hypotenuse Side or Hypotenuse – Leg postulate) congruent triangles condition

Congruent Shapes

Congruent Line-segments

Congruent Angles

Congruent Triangles

Conditions for the Congruence of Triangles

Side Side Side Congruence

Side Angle Side Congruence

Angle Side Angle Congruence

Angle Angle Side Congruence

Right Angle Hypotenuse Side congruence

Pythagorean Theorem

Proof of Pythagorean Theorem

Converse of Pythagorean Theorem








7th Grade Math Problems

8th Grade Math Practice

From Conditions for the Congruence of Triangles to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Dividing 3-Digit by 1-Digit Number | Long Division |Worksheet Answer

    Apr 24, 24 03:46 PM

    Dividing 3-Digit by 1-Digit Number
    Dividing 3-Digit by 1-Digit Numbers are discussed here step-by-step. How to divide 3-digit numbers by single-digit numbers? Let us follow the examples to learn to divide 3-digit number by one-digit nu…

    Read More

  2. Symmetrical Shapes | One, Two, Three, Four & Many-line Symmetry

    Apr 24, 24 03:45 PM

    Symmetrical Figures
    Symmetrical shapes are discussed here in this topic. Any object or shape which can be cut in two equal halves in such a way that both the parts are exactly the same is called symmetrical. The line whi…

    Read More

  3. Mental Math on Geometrical Shapes | Geometry Worksheets| Answer

    Apr 24, 24 03:35 PM

    In mental math on geometrical shapes we will solve different type of problems on simple closed curves, polygons, basic geometrical concepts, perpendicular lines, parallel lines, circle, terms relates…

    Read More

  4. Circle Math | Terms Related to the Circle | Symbol of Circle O | Math

    Apr 24, 24 02:57 PM

    Circle using a Compass
    In circle math the terms related to the circle are discussed here. A circle is such a closed curve whose every point is equidistant from a fixed point called its centre. The symbol of circle is O. We…

    Read More

  5. Fundamental Geometrical Concepts | Point | Line | Properties of Lines

    Apr 24, 24 12:38 PM

    Point P
    The fundamental geometrical concepts depend on three basic concepts — point, line and plane. The terms cannot be precisely defined. However, the meanings of these terms are explained through examples.

    Read More

Word problems on Pythagorean Theorem