the vertices of a quadrilateral abcd are a(1, −3), b(4, −3), c(4, −5), and d(−1, −5). the vertices of another quadrilateral efcd are e(1, −7), f(4, −7), c(4, −5), and d(−1, −5). which conclusion is true about the quadrilaterals?

the shape of the quadrilaterals is same but their areas are different.

the ratio of their corresponding sides is not equal.

the measures of the corresponding angles are different.

the angles and sides overlap when one quadrilateral is placed on the other.

The angles and sides overlap when one quadrilateral is placed on the other because both are same shape and area.

D is true

Step-by-step explanation:

The vertices of a quadrilateral ABCD are A(1, −3), B(4, −3), C(4, −5), and D(−1, −5).

The vertices of another quadrilateral EFCD are E(1, −7), F(4, −7), C(4, −5), and D(−1, −5).

We need to choose correct options.

First we plot the co-ordinates of ABCD and EFCD on graph. Please see the attachment for figure.

We can see CD is common in both quadrilateral.

Length of other sides are also equal to each other.

⇒The shape of the quadrilateral is same and their areas are equal.

Therefore, A is false

⇒ The ratio of their corresponding sides is equal.

Therefore, B  is false.

⇒ Both figures are same therefore corresponding angles are equal.

Therefore, C is false

⇒ The angles and sides overlap when one quadrilateral is placed on the other because both are same shape and area.

D is true