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TRIANGLES
ISOSCELES                 EQUILATERAL
TRIANGLES                  TRIANGLES


               SCALEN
              TRIANGLES
CONGRUENT FIGURES : CONGRUENT FIGURES
  ARE THE FIGURES WHICH HAVE EQUAL SIZE
  AND SHAPE IN SUCH A WAY THAT IF IT IS
  COVERED BY AN OTHER PAIR OF SAME FIGURE
  OVER IT THEY COVER EACH OTHER
  COMPLETELY.
SIMILARLY, A TRIANGLE OF SAME SIZE AND
  SHAPE COVERS AN OTHER TRIANGLE OF SAME
  MEASUREMENTS IS KNOWN TO BE A
  CONGRUENCE OF TRIANGLES .
50                      50
          4 cm                    4 cm


  This is the first criterion for congruence of
                      triangles.
SAS Congruence rule: Two triangles are
 congruent if two sides and the included angle
 of one triangle are equal to the two sides and
 the included angle of the other triangle.
60          45   60          45
             4 cm             4 cm

ASA Congruence Rule: Two triangles
are congruent if two angles and the
included side of one triangle are equal
to two angles and the included side of
other triangle .
4 cm          4 cm

SSS Congruence rule: If three sides
of one triangle are equal to the
three sides of another triangle, then
the two triangles are congruent.
4 cm                          4 cm




RHS Congruence rule: If in two right triangles
 the hypotenuse and one side of one triangle
 are equal to the hypotenuse and one side of
 the other triangle are congruent.
        Right angle= hypotenuse-side

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Congruence of triangle

  • 1. TRIANGLES ISOSCELES EQUILATERAL TRIANGLES TRIANGLES SCALEN TRIANGLES
  • 2. CONGRUENT FIGURES : CONGRUENT FIGURES ARE THE FIGURES WHICH HAVE EQUAL SIZE AND SHAPE IN SUCH A WAY THAT IF IT IS COVERED BY AN OTHER PAIR OF SAME FIGURE OVER IT THEY COVER EACH OTHER COMPLETELY. SIMILARLY, A TRIANGLE OF SAME SIZE AND SHAPE COVERS AN OTHER TRIANGLE OF SAME MEASUREMENTS IS KNOWN TO BE A CONGRUENCE OF TRIANGLES .
  • 3. 50 50 4 cm 4 cm This is the first criterion for congruence of triangles. SAS Congruence rule: Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle.
  • 4. 60 45 60 45 4 cm 4 cm ASA Congruence Rule: Two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of other triangle .
  • 5. 4 cm 4 cm SSS Congruence rule: If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
  • 6. 4 cm 4 cm RHS Congruence rule: If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle are congruent. Right angle= hypotenuse-side