The graph demonstrates a dilation with a scale factor of 1/2 for which of the following quadrilaterals?
1 answer:
Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.
In this exercise is given that a quadrilateral with vertices K'(2,1), L'(-2,3), M'(-3,-4) and N'(3,-5) was dilated by a scale factor of
, and it is asked to find the vertices of the pre-image of the quadrilateral.
Image Pre-Image
K'(2,1) ---- (2×2,1×2) ---- K(4,2)
L'(-2,3) --- (-2×2,3×2) --- L(-4,6)
M'(-3,-4) -- (-3×2,-4×2) -- M(-6,-8)
N'(3,-5) --- (3×2,-5×2) --- N(6,-10)
The coordinates which represent the vertices of the quadrilateral's pre-image are K(4,2), L(-4,6), M(-6,-8), and N(6,-10) or in other words letter C from the given choices.
In this exercise is given that a quadrilateral with vertices K'(2,1), L'(-2,3), M'(-3,-4) and N'(3,-5) was dilated by a scale factor of
Image Pre-Image
K'(2,1) ---- (2×2,1×2) ---- K(4,2)
L'(-2,3) --- (-2×2,3×2) --- L(-4,6)
M'(-3,-4) -- (-3×2,-4×2) -- M(-6,-8)
N'(3,-5) --- (3×2,-5×2) --- N(6,-10)
The coordinates which represent the vertices of the quadrilateral's pre-image are K(4,2), L(-4,6), M(-6,-8), and N(6,-10) or in other words letter C from the given choices.
You might be interested in