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Triangle A″B″C″ is formed using the translation (x + 1, y + 1) and the dilation by a scale factor of 3 from the origin. Which equation explains the relationship between segment BC and segment B double prime C double prime? Coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3

Respuesta :

calculista

Answer:

[tex]B''C''=3BC[/tex]

Step-by-step explanation:

we know that

The length of segment B''C'' is equal to the length of segment BC multiplied by the scale factor

step 1

Find the length of segment BC

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

we have the points

B(1,-3),C(-3,-3)

substitute the values

[tex]BC=\sqrt{(-3+3)^{2}+(-3-1)^{2}}[/tex]

[tex]BC=\sqrt{(0)^{2}+(-4)^{2}}[/tex]

[tex]BC=4\ units[/tex]

The segment B''C'' is equal to the segment BC multiplied by the scale factor

The scale factor is 3

so

[tex]B''C''=BC(3)[/tex]

[tex]B''C''=3BC[/tex]

substitute

[tex]B''C''=3(4)=12\ units[/tex]

Answer:

The Answer would be C.

Step-by-step explanation:

I got it right on the flvs test.

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