Exercise – 3

If the figure given below, polygons are similar and the value of $\mathrm{OP}=k$ units, then find the value of $k$.

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If the figure given below, polygons are similar, then find the value of $\mathrm{EA}$.
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If the figure given below, polygons are similar, then find the measure of $\angle \mathrm{OPL}$(in degree).
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If the figure given below, polygons are similar, then find the measure of $\angle \mathrm{LMN}$(in degree).
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If the figure given below, polygons are similar, then polygon $\mathrm{DEABC}~\mathrm{OPLMN}$
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Give examples for the given statement and give reasons:
If two polygons are congruent, then they are similar as well.

Give examples for the given statement and give reasons:
If two polygons are similar, then it is not necessary that they are congruent.
 

Give three statements and examples on congruency and similarity of polygons and give reasons.