Which of the following transformations is not an isometric transformation? 1.rotation 2.reflection 3.dilation translation

Option: 3 is the correct answer.

Among following the transformation which is not an isometric transformation is:

                       3.  Dilation.

Isometric Transformation--

An isometric transformation is one which the shape of the figure or the object is preserved.It is an distance preserving transformation i.e. the distance between the two points do not change.

The examples of isometric transformation are:

Reflection, Rotation, Translation and there combination such as glide.

whereas Dilation is not an isometric transformation because the image of the object either shrinks or expand depending on the scale factor and hence the distance between the points is not preserved.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."