Question

1. different words, same question which is different?

find \both\ answers.
are $\triangle pqr$ and $\triangle tsr$ similar?
are $\triangle pqr$ and $\triangle tsr$
the same size and shape?
is $\triangle pqr$ a dilation of $\triangle tsr$?
is $\triangle pqr$ a scale drawing of $\triangle tsr$?

Explanation:

• Similarity (including dilation and scale - drawing) means the same shape but not necessarily the same size.
• When two triangles are the same size and shape, they are congruent, not just similar.

Answer:

The question “Are \(\triangle PQR\) and \(\triangle TSR\) the same size and shape?” is different. The other three questions (about similarity, dilation, and scale - drawing) are related to the concept of similarity (same shape, different or same size in the case of congruence which is a special case of similarity). But the “same size and shape” question is about congruence, while the others are about similarity (with dilation and scale - drawing being operations related to similarity).