Question

Triangle PQR was rotated using the rule (−y, x) and then dilated by a scale factor of 2 to create triangle P″Q″R″. Which statement explains why the triangles are similar?

Rotations and dilations preserve collinearity; therefore, the corresponding sides of ΔPQR and ΔP″Q″R″ are congruent.
Rotations and dilations preserve angle measure; therefore, the corresponding angles of ΔPQR and ΔP″Q″R″ are congruent.
Rotations and dilations preserve orientation; therefore, the corresponding angles of ΔPQR and ΔP″Q″R″ are proportional.
Rotations and dilations preserve side length; therefore, the corresponding sides of ΔPQR and ΔP″Q″R″ are congruent.

Answer 1

@jhonyy9

Answer 2

how i remember somebody here on QC on your posted problem said that you need to know by dilatation and rotation get similar triangles - for example bc. in these cases just the length of sides will change the angles dont

Answer 3

hmm so that eliminated D

Answer 4

it has to be B right?

Answer 5

@jhonyy9 are you hre?

Answer 6

thank you