Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?

Yes, because both figures are rectangles and all rectangles are similar (B)

Question:

The complete question related to this found at (question Id: 2996738) is stated below:

Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?

a. Yes, because corresponding sides are parallel and have lengths in the ratio 1/4

b. Yes, because both figures are rectangles and all rectangles are similar.

c. No, because the center of dilation is not at (0, 0).

d. No, because corresponding sides have different slopes

Step-by-step explanation:

Coordinates of rectangle EFGH

E (-4,4), F(4,4), G(-4,0), H (4,0)

EF = 8

FG =4

GH= 8

HE= 4

Coordinates of rectangle ABCD

A (-3,3), B(3,3), C(-3,0), D (3,0)

AB = 6

BC = 3

CD = 6

DA = 3

Find attached the diagram.

Image = EFGH, pre-image = ABCD

Scale factor = (sides of the image)/(sides of the pre-image)

= 8/6 = 4/3

Similar shapes have same shapes but different sizes. From the result obtained, the two shapes are similar with different sizes.

Rectangle EFGH is the result of a dilation of rectangle ABCD with a center of dilation at the origin.

Reason: the lines connecting the coordinates of both shapes meet at the origin. And also both figures are rectangles and all rectangles are similar (B)

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation:

the answer will be b x² +x-1

step-by-step explanation: