Quadrilateral vertices are
and
.
Find rotation at about the origin.
Write the vertex matrix for quadrilateral is
.
Write the ordered pair as a vertex matrix.
\Rotation matrix for is
.
Multiply the vertex matrix by the rotation matrix.
\.
Write the vertices of the image.
\ The first row represents the –coordinates and the second row represents the
–coordinates.
The vertices are and
.
Graph:
\Plot the points and
and connect the points to form quadrilateral
.
Plot the points and
and connect the points to form quadrilateral
.
Observe the graph:
\Quadrilateral and
are similar, both has same shape and rotate about
the origin.
Rotation quadrilateral vertices of the images are
and
.
Graph of the quadrilateral and
is