Question

Look at the given shapes that are similar and find the angle which is equal to ∠DEF.

• A. $\angle NMR$
• B. $\angle QRM$
• C. $\angle PQR$
• D. $\angle OPQ$

Answer 1

The correct option is C $\angle PQR$

The given two shapes are similar.

So, both the figures have equal angles and lengths are proportional.


Let's compare the side lengths of AB and MN.

The ratio of MN to AB is 3. Therefore, the image ABCDEF has undergone a dilation of scale factor 3, centered at the origin and is also being rotated by ${90}^{\circ }$ in the clockwise direction and is translated.

$\text{So,}\angle DEF=\angle PQR$