Timo was curious if quadrilaterals LMNR and PQNO were similar, so he tried to map one figure onto
the other using a rotation and a dilation.
M
N
LO
R
Q
Timo concluded:
"It's not possible to map LMNR onto PQNO using a sequence of rigid transformations and dilations,
so the quadrilaterals are not similar."

The two quadrilaterals LMNR and PQNO are not similar. Timo tried to map one figure onto the other using rotation and dilation methods. He concluded that they are not similar because the rigid transformations like rotation preserve congruence and dilation will not change the shape but it changes its size. So, this results in no congruence.

What is rigid transformation?

Rotations, reflections, and translations are known as rigid transformations.
They do not change the size or shape of a figure, they simply move it.
These rigid transformations preserve congruence.

What is dilation?

Dilation is not a rigid transformation, since they change the size of a figure.
Dilation would not change the shape but changes the size
This would give us a similar, but not congruent figure.

Here Timo used rotation and dilation on the two quadrilaterals LMNR and PQNO. So, this resulted in a change in the size of the quadrilaterals. Because of this, Timo concluded that "it's not possible to map LMNR onto PQNO using a sequence of rigid transformations and dilations, so the quadrilaterals are not similar".

Learn more about rigid transformations and dilation here:

https://brainly.com/question/1616371

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