1 triangle ABC was dilated by a scale factor of 2 centered at the origin of the result was as image of triangle A'B'C shown on the coordinate plane below the vertices of triangle A'b'c' are -4,4 -4,6 and 2,4 what are the coordinates of the vertices ABC

The coordinates of ABC are respectively (-2,2), (-2,3), and  (1,2).

Step-by-step explanation:

Dilation About the Origin

Given a point P(x,y), its dilation about the origin by a scale factor of k maps the point to a point P'(kx,ky).

If we are given the dilated point, then we can find the original point by dividing by the scale factor.

Triangle ABC was dilated by a scale factor of 2 about the origin mapping it to triangle A'B'C' with vertices A'(-4,4), B'(-4,6), and C(2,4).

The coordinates of triangle ABC are:

A=(-4/2,4/2) = (-2,2)

B=(-4/2,6/2) = (-2,3)

C=(2/2,4/2) = (1,2)

The coordinates of ABC are respectively (-2,2), (-2,3), and  (1,2).

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

answer

false

explanation

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