Chapter SR22, Problem 7P

Solution

Tell whether the figures are congruent, similar or neither. Explain.

Neither congruent nor similar.

Given:

The given figure.

  

Concept Used:

• Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
• If two figures or objects are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

Calculation:

The given figure is −

  

Ratio of corresponding sides −

  $\begin{array}{c}\frac{6}{4}=\frac{5}{3}\\ \frac{3}{2}\ne \frac{2}{1}\end{array}$

Ratio of corresponding sides are not in equal proportion.

And corresponding sides are also not equal.

Hence both the figures are neither congruent nor similar.