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? Their shape and size are same. They have unequal corresponding angles. They have unequal corresponding sides. They are similar figures.

Question

Mathematics

Nash

Today, 13:14

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? Their shape and size are same. They have unequal corresponding angles. They have unequal corresponding sides. They are similar figures.

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Answers (1)

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Jasmine Camacho · Answer 1

The correct answer option is: Their shape and size are same.

Step-by-step explanation:

We are given the coordinates of two quadrilaterals, ABCD and FECD.

If we plot them, we can see that they share a common side length CD which can be considered as their base.

So by looking at the graph, we can conclude that the shape and size of these two quadrilaterals is the same.

Or we can find the distance between the vertices to reach the conclusion.