Congruence of triangle
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The document discusses different types of triangles and rules for determining if triangles are congruent. It defines congruent figures as those that are equal in size and shape and can cover each other completely. It then provides four rules for triangle congruence: SAS, ASA, SSS, and RHS. These rules state that triangles are congruent if their corresponding sides and/or angles are equal.
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