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99 POINTS!! PLEAS HELP ASAP!!!!!
A rectangle ABCD is reduced by a scale factor of 0.5. AB = 16 and AC = 6.

(a) Calculate the length of each side of the reduced image.
(b) Draw the new image and label it .

Respuesta :

calculista

Answer:

Part a) [tex]A'B'=8\ units[/tex], [tex]A'C'=3\ units[/tex]

Part b) The graph of the reduced image in the attached figure

Step-by-step explanation:

Let

z-----> the scale factor

x----> the length side of the reduced image

y----> the length side of the original image

so

[tex]z=\frac{x}{y}[/tex]

[tex]x=z*(y)[/tex] ----> equation to find the length side of the reduce image

we have

[tex]z=0.5[/tex]

[tex]AB=16\ units[/tex]

[tex]AC=6\ units[/tex]

Part a)  Calculate the length of each side of the reduced image

[tex]A'B'=z*AB[/tex]

[tex]A'B'=0.5*16=8\ units[/tex]

[tex]A'C'=z*AC[/tex]

[tex]A'C'=0.5*6=3\ units[/tex]

Part b) Draw the new image and label it

I assume that AB is the length of the original rectangle and AC is the width of the original rectangle

Using a graphing tool

see the attached figure      

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