Answer:
WHAT IS YOUR QUESTION
Step-by-step explanation:
Answer – TrueA design is said to have Rotational symmetry if all its characteristics remain the same after it has been rotated about an axis lying in its plane. In other words, rotational symmetry is the quality possessed by a shape has when it looks the same after it has undergone some rotation by a partial turn about an axis lying in its plane. Rotational symmetry is also referred to as radial symmetry.
To prove that <span>AEC≅ AED, we need to write following proofs or statement reasons.
It is given that points C and D are equidistant to point A. Hence,
</span><span>AD ≅ AC
Next, </span><span>CAE ≅ DAE. AE is the common side or the included side.
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Then, </span><span>AE ≅ EA by Reflexive Property of Congruence as it is congruent to itself.
Lastly, </span><span>EAD ≅ EAC by Symmetric Property of Congruence as these triangles are mirror image of each other.
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Therefore, we can conclude that AEC≅ AED by SSS or Side-Side-Side. That is when all sides of triangles are congruent then both triangles are deemed to be equal.
