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Explain all the categories of congruency of triangles with proper definition and example |
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Answer» Step-by-step explanation: 1: SIDE-Side-Side: If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule. 2.Side- Angle - Side: If any two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule. 3. Angle - Side - Angle If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule. 4. Angle - Angle - Side AAS STANDS for Angle-angle-side. When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent. Sometime you may confuse AAS with ASA congruency. But remember that AAS is for non-included side whereas ASA is for included sides of the triangles. 5. RIGHT angle - Hypotenuse - Side If the hypotenuse and a side of a right- angled triangle is equivalent to the hypotenuse and a side of the second right- angled triangle, then the two right triangles are said to be congruent by RHS rule. |
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