Which statement is true regarding the graphed functions?
nood) non
-5-5-4-3-2-1
2 3
4
5
6
fo) = 9(0)
f(-2) = 9(-2)
fco) = 9(-2)
f(-2) = 9(0)

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Ответ:

TheCat250

19.06.2020

Mathematics

Option D

Step-by-step explanation:

Consider the below figure attached with this question.

Distance formula:

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

From the below figure it is clear that the vertices of quadrilaterals ABCD are A(0,0), B(2,0), C(3,-2) and D(-1,-2).

The vertices of quadrilaterals EFGH are E(2,4), F(6,4), G(7,1) and H(1,1).

Using distance formula we get

$AB=\sqrt{\left(2-0\right)^2+\left(0-0\right)^2}=2$

$CD=\sqrt{\left(-1-3\right)^2+\left(-2-\left(-2\right)\right)^2}=4$

$EF=\sqrt{\left(6-2\right)^2+\left(4-4\right)^2}=4$

$GH=\sqrt{\left(1-7\right)^2+\left(1-1\right)^2}=6$

We know that corresponding sides of similar figures are proportional.

$\dfrac{AB}{EF}=\dfrac{2}{4}=\dfrac{1}{2}$

$\dfrac{CD}{HG}=\dfrac{4}{6}=\dfrac{2}{3}$

We get,

$\dfrac{AB}{EF}\neq \dfrac{CD}{HG}$

Quadrilaterals ABCD and EFGH are not similar because their corresponding segments are not proportional.

Therefore, the correct option is D.

Are quadrilaterals abcd and efgh similar? yes, quadrilaterals abcd and efgh are similar because a t

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Which statement is true regarding the graphed functions? nood) non -5-5-4-3-2-1 2 3 4 5 6 fo) = 9(0) f(-2) = 9(-2) fco) = 9(-2) f(-2) = 9(0)