Question

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. Which transformation did he use?

Answer 1

Timo used rotation and dilation to map quadrilaterals LMNR and PQNO onto each other to determine if they are similar.

Step-by-step explanation:

Timo used a rotation and a dilation to map quadrilaterals LMNR and PQNO onto each other.

A rotation is a transformation that rotates the figure around a fixed point, while a dilation is a transformation that changes the size of the figure without altering its shape.

By applying both a rotation and a dilation, Timo can determine if the two figures are similar.

Rotation is a transformation that turns a figure about a fixed point called the center of rotation.

The angles and lengths between points remain unchanged, so the shapes' proportions are preserved. Thus, the distance between any two points in the figure remains invariant under a rotation.

This would help Timo establish that corresponding angles in the quadrilaterals LMNR and PQNO are equal if one can be rotated to coincide with the other.

Therefore, Timo used a rotation to match the orientation and dilation to match the size of quadrilaterals LMNR and PQNO.