Question

Which statement is not always true?

Answer 1

Dilating a triangle by a scale factor greater than 1 results in a similar triangle with longer sides

Answer 2

$(A)\\ \text{The statement that, the similar figures have corresponding angles that are}\\ \text{equal in measure, is TRUE.}\\ \text{because only the corresponding sides of the figure get scaled, the corresponding}\\ \text{angles remain same.}\\ \\ (B)\\ \text{The statement that, similar figures have corresponding sides that are equal }\\ \text{in length, is FALSE}.$

$\text{because the corresponding sides of the similar figures are in some fixed ratio.}\\ \\ \text{the corresponding sides of similar figures may or may not be equal.}\\ \\ (C\text{ and }D)\\ \text{The statements regarding the dilation of a triangle are TRUE. }\\ \text{Dilating a triangle by a positive scalar factor less than 1 will result in}\\ \text{a similar triangle of shorter size}.$

$\text{and dilating with a positive scalar factor greater than 1 will reslut in}\\ \text{a similar triangle with longer sides.}$

Hence the statement that is not always true is: (B)