write the four congruence rules for traingle with one figure each
Answers
Answer:
Two triangles are said to be congruent if all their three sides and three angles are equal. But it is necessary to find all six dimensions. Hence, the congruence of triangles can be evaluated by knowing only three values out of six. The meaning of congruent in Maths is when two figures are similar to each other based on their shape and size. Also, learn about Congruent Figures here.
Congruence is the term used to define an object and its mirror image. Two objects or shapes are said to be congruent if they superimpose on each other. Their shape and dimensions are the same. In the case of geometric figures, line segments with the same length are congruent and angle with the same measure are congruent.
Conditions for Congruence of Triangles:
SSS (Side-Side-Side)
SAS (Side-Angle-Side)
ASA (Angle-Side-Angle)
AAS (Angle-Angle-Side)
RHS (Right angle-Hypotenuse-Side)
Step-by-step explanation:
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Answer:
1. SSS - In this axiom, 3 sides of two triangles are equal.
2. SAS - In this axiom, 2 sides and one angle of two triangles are equal.
3. ASA - In this axiom, 2 angles and one side of two triangles are equal.
4. RHS - In this axiom, right angle, hypothenuse and one side of two triangles are equal.
Pictures are given in the attachment.
Picture credit: aplus topper.
