karen performs a transformation on parallelogram syntax error from line 1 column 49 to line 1 column 73. unexpected 'mathsize'. that is plotted on a coordinate grid to form parallelogram syntax error from line 1 column 49 to line 1 column 73. unexpected 'mathsize'. the image of each point is shown in the table below. which best describes the transformation karen performed?

Question

contestada

Respuesta :

MrRoyal MrRoyal · Answer 1 · 2021-12-17T16:38:35+01:00

The transformation performed by Karen is 90 degrees counterclockwise rotation across the origin.

The table is given as:

Original point ---- Image

A (-4,-1) (1,-4)

B (-7,-6) (6,-7)

C (-14, -6) (6,-14)

D (-11, -1) (1,-11)

From the table, we can see that;

The coordinates are swapped, and the new x-coordinate is negated.

This represents 90 degrees counterclockwise rotation across the origin.

The rule of this transformation is:

[tex](x,y) \to (-y,x)[/tex]

i.e.

[tex](-4,-1) \to (1,-4)[/tex]

[tex](-7,-6) \to (6,-7)[/tex]

[tex](-14, -6) \to (6,-14)[/tex]

[tex](-11, -1) \to (1,-11)[/tex]

Hence, the transformation performed by Karen is 90 degrees counterclockwise rotation across the origin.