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Congruence & Similarity
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Congruent & Similar Triangles
$$\begin{array}{|c|c|} \hline \text{Congruent triangles} & \text{Similar triangles}\\\hline \text{SSS, SAS, AAS, RHS} & \text{SSS, SAS, AAA}\\\hline \end{array}$$
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Ratio of Area & Volume
$$\dfrac{A_1}{A_2}=\left(\dfrac{l_1}{l_2}\right)^2$$
$$\dfrac{V_1}{V_2}=\left(\dfrac{l_1}{l_2}\right)^3$$