Question

Polygon PQRST shown below is dilated with a scale factor of 3, keeping origin as the center of dilation. Which statement about Polygon PQRST and its image after dilation, Polygon P'Q'R'S'T', is correct? Select one:

a. The length of side PT is equal to the length of side P'T'.
b. The measure of angle T is equal to the measure of angle T'.
c. The length of diagonal RT is equal to the length of diagonal R'T'.
d. The measures of angle P and angle P' are in the ratio 1:3.

Answer 1

b. The measure of angle T is equal to the measure of angle T'.

Answer 2

Answer with explanation:

it is given that , polygon PQRST ,is dilated with a scale factor of 3, keeping origin as the center of dilation and its image after dilation, Polygon P'Q'R'S'T is obtained.

→Scale factor =3

→Pre Image = Polygon PQRST

→Image = Polygon P'Q'R'S'T'

→Image >Pre- Image

→→When a Geometrical shape is dilated by any scale factor , the two polygon will be Similar, that is corresponding sides of two polygon will be proportional and corresponding angles of two polygons are equal.

1.⇒The length of side PT is equal to the length of side P'T'..→→→Incorrect option

it should be, →3 PT=P'T'

2.The measure of angle T is equal to the measure of angle T'.

Correct Option