Given:
Trapezoid PQRS is dilated about point P by a scale factor of 3 to form trapezoid P'Q'R'S'.
Required:
We need to find the dilation of Trapezoid PQRS by scale factor 3.
Explanation:
Recall that dilation is a type of transformation that enlarges or reduces a figure (called the preimage) to create a new figure.
Dilations preserve angle measure, betweenness of points and collinearity.
Let P be the perimeter of PQRS.
The dilation P'O'R'S' is enlarged by scale factor 3.
The perimeter of the P'O'R'S' is 3 times the perimeter of PQRS.
[tex]The\text{ perimeter of P'Q'R'S' =3p}[/tex]
[tex]\frac{1}{3}(The\text{ perimeter of P'Q'R'S' \rparen=p}[/tex]
The perimeter of PQRS is one-third of the perimeter of P'O'RS is true.
The length of PQ' is 3 times the length of PQ is true since the scale factor is 3.
QR and Q'R' are parallel is true.
The measure of angle P' is 3 times the measure of angle P is not true.
Dilations preserve angle measure.
Final answer:
