Chapter SR22, Problem 3P

Solution

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

Congruent.

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 −

  

Here the corresponding angles are equal so angles are congruent.

The corresponding sides are −

  $\begin{array}{l}14=14\\ 14=14\\ 14=14\\ 14=14\end{array}$

All sides of both figure are equal.

So corresponding sides are congruent.

Hence both the figures are congruent.