Question

The vertices of a quadrilateral ABCD are A(-7, -2), B(-3, -2), C(-4, -5), and D(-8, -5). The vertices of another quadrilateral FECD are F(-7, -8), E (-3, -8), C(-4, -5), and D(-8, -5). Which conclusion is true about the quadrilaterals? (5 points)

Their shape and size are same.

They have unequal corresponding angles.

They have unequal corresponding sides.

They are similar figures.

Answer 1

ANSWER

Their shape and size are same.

EXPLANATION

It was given that, ABCD has A(-7, -2), B(-3, -2), C(-4, -5), and D(-8, -5).

Also, a second quadrilateral is given, which also has vertices, F(-7, -8), E (-3, -8), C(-4, -5), and D(-8, -5).

When we plot these two quadrilateral in the xy plane, the second quadrilateral will coincide with the first.

In other words, the two quadrilateral has the same sides and angles or vertices.

This means the two quadrilaterals are congruent, and for that matter they have the same shape and size.

The correct answer is A