Question

timo concluded: \its not possible to map ( lmnr ) onto ( pqno ) using a sequence of rigid transformations and dilations, so the quadrilaterals are not similar.\ what error did timo make in his conclusion? choose 1 answer: a one more transformation - a vertical stretch - would map ( lmnr ) onto ( pqno ). so the quadrilaterals are similar. b one more transformation - a dilation - would map ( lmnr ) onto ( pqno ). so the quadrilaterals are similar. c there is no error. this is a correct conclusion.

Explanation:

Similarity of figures can be established by a sequence of rigid transformations (translation, rotation, reflection) and dilations. A vertical stretch is not a standard transformation for similarity (similarity uses dilation which scales uniformly in all directions). But a dilation (a uniform scaling) can be used. If after rigid transformations (which preserve shape and size) a dilation (which changes size but keeps shape) can map one figure to another, the figures are similar.

Answer:

B. One more transformation — a dilation — would map \( LMNR \) onto \( PQNO \). So the quadrilaterals are similar.