Question

If LMN is dilated by a scale factor of 0.5, which of the following statements is not true? A. The sides of LMN are congruent to the sides of L'M'N'. B. L'M'N' is smaller than LMN. C. LMN is similar to L'M'N'. D. The angles of LMN are congruent to the angles of L'M'N'.

Answer 1

Answer:

The correct option is A.

Step-by-step explanation:

Dilation represents the enlargement and compression of a figure. Whether it is an enlargement or compression, It totally depends on the scale factor.

If the absolute value of scale factor is more than 1, then it represents the enlargement and if the absolute value of scale factor is lies between 0 to 1, then it represents the compression.

Image and preimage are similar figures. It means the corresponding angles are congruent or corresponding sides are proportional.

It is given that LMN is dilated by a scale factor of 0.5.

$LMN\sim L'M'N'$

Since scale factor is lies between 0 to 1, therefore it shows the compression.

Therefore sides of L'M'N' is smaller than LMN.

Since corresponding angles of similar figure are congruent.

$\angle LMN \cong \angle L'M'N'$

So, options B, C and D represent the correct statements. Only option A represents a false statement because the sides of similar figure are proportional not congruent.

Therefore option A is correct.