Mathematics: What are the multiplication facts fof the product of 32

What are the multiplication facts fof the product

Ответ:

yselahernandez02

23.04.2020

Let's find the lengths of all sides:

$AB=\sqrt{(4-2)^2+(5-4)^2}=\sqrt{4+1} =\sqrt{5} ,\\ BC=\sqrt{(2-4)^2+(4-3)^2}=\sqrt{4+1} =\sqrt{5},\\ CD=\sqrt{(4-6)^2+(3-4)^2} =\sqrt{4+1} =\sqrt{5},\\ AD=\sqrt{(6-4)^2+(4-5)^2}=\sqrt{4+1} =\sqrt{5}$ .

All sides are congruent, then this quadrilateral may occur to be square or rhombus. Check whether sides AB and AD are perpendicular. With this aim you should find vectors $\vec{AB}$ and $\vec{AD}$ :

$\vec{AB}=(2-4,4-5) =(-2,-1)$ ,

$\vec{AD}=(6-4,4-5) =(2,-1)$ .

The dot product: $\vec{AB}\cdot \vec{AD}=-2\cdot 2+(-1)\cdot (-1)=-4+1=-3\neq 0$ . This means that sides AB and AD are not perpendicular and quarilateral ABCD is not square.

correct choice is E.

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What are the multiplication facts fof the product of 32

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