MATH: TRIANGLE CONGRUENCE POSTULATES

• In a triangle, when the vertices of the two angles are the endpoints of the segment, the segment is said to be the INCLUDED SIDE of the two angles.
• When the sides of an angle are the two sides of the triangle, then the angle is said to be the INCLUDED ANGLE of the two sides.
• CPCTC- Corresponding parts of congruent triangles are congruent.
• TRIANGLE POSTULATES:

  SAS Congruence Postulate

  ASA Congruence Postulate

  SSS Congruence Postulate

  SAA Congruence Theorem
• SAS- If two sides and an included angle of one triangle are congruent to two sides and the included angle of another triangle, then two triangles are congruent.
• ASA- If two angles and the included side of one triangle are congruent to two angles and an included side of another triangle, then the two triangles are congruent.
• SSS- If the three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.
• CONGRUENCE means having the same shape and size, and it is denoted by . The top part of the symbol, ~, is the sign for similarity and indicates the same shape. The bottom part symbol, =, is the sign of equality and indicates the same size.
• PROPERTIES OF TRIANGLE CONGRUENCE

  Reflexive Property of Congruence Symmetric Property of Congruence Transitive Property of Congruence
• TRIANGLE -is a closed two dimensional shape with three straight sides. It is also a polygon. It has three sides, three Vertices, and three angles
• The sum of the three interior angles in a triangle is always 180°.
• By Translation (slide)from one position to another without turning it.
• By Reflection (flip) -flipping a figure over a line.
• By Rotation (turn) -turning the figure around a fixed point.