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You have to prove that each side of one shape is congruent to the corresponding side of the second shape and that each angle of the first are congruent to the corresponding angles of the second.
Sometimes this task is made simpler by the geometry of the shape in question. For example, with any regular polygons with the same number of sides, you only need to show that any side of one is congruent to any side of the other. The regularity takes care of the rest.
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What are the 5 ways to prove a triangles congruency?
A s a, s s s, a a a, a a s, & s a s
How can rigid transformations be used to prove congruency?
Rigid transformations, such as translations, reflections, and rotations, preserve the length, angle measures, and parallelism of geometric figures. By applying a combination of these transformations to two given figures, if the transformed figures coincide, then the original figures are congruent. This is because if two figures can be superimposed perfectly using rigid transformations, then their corresponding sides and angles have the same measures, establishing congruency.
How congruency is useful in daily life?
congruency means that we see r\
What are the five triangle congruency theorems?
SSS, SAS, ASA, AAS, RHS. SSA can prove congruence if the angle in question is obtuse (if it's 90 degrees, then it's exactly equivalent to RHS).
What are three ways that triangles are congruent?
Triangles are congruent when:All three sides are the same length (SSS congruency)Two sides and the angle between them are the same length (SAS congruency)Two angles and the side between them are the same length (ASA congruency)
