If ABCD is dilated by a scale factor of 2 about point E, which of the following is true about E'F'? В.
C
m
A
D
OE'F' is perpendicular to EF
OE'F' is parallel to EF
OE'F' intersects with point B'.
O E'F' passes throug[mhe center of dilation.

Given:

ABCD is dilated by a scale factor of 2 about point E.

To find:

The correct statement about the line segment E'E'.

Solution:

The center of dilation E lies on the line segment E'F' and the dilation factor is 2.

Since the center of dilation E is one end point EF, therefore E and E' represents the same point.

It means, E'F' passes through the center of dilation.

Hence the correct option is D.

The answer is 180 sq m.

Step-by-step explanation:

As given, the ratio of the length of the corresponding side of two regular polygons is 3:4. So, the ratio of areas is

The area of the larger polygon is 320m. So, let the area of the smaller polygon be = x

As the ration is 9:16 , we can say that :

This gives x = 180

Hence, the area of the smaller polygon is 180 square meter.