Polygons ABCD and A'B'C'D' are shown on the following coordinate grid:A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A polygon ABCD is shown with vertex A on ordered pair 2, negative 2, vertex B on ordered pair 4, negative 2, vertex C on ordered pair 1, negative 3 and vertex D on ordered pair 5, negative 3. A polygon A prime B prime C prime D prime is shown with vertex A prime on ordered pair 1, 2, vertex B prime on ordered pair 1, 4, vertex C prime on ordered 2, 1 and vertex D prime on ordered pair 2, 5.

What set of transformations is performed on ABCD to form A'B'C'D'?

Question

Mathematics

Raymond Montoya

28 July, 14:19

Polygons ABCD and A'B'C'D' are shown on the following coordinate grid:A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A polygon ABCD is shown with vertex A on ordered pair 2, negative 2, vertex B on ordered pair 4, negative 2, vertex C on ordered pair 1, negative 3 and vertex D on ordered pair 5, negative 3. A polygon A prime B prime C prime D prime is shown with vertex A prime on ordered pair 1, 2, vertex B prime on ordered pair 1, 4, vertex C prime on ordered 2, 1 and vertex D prime on ordered pair 2, 5.

What set of transformations is performed on ABCD to form A'B'C'D'?

+3

Answers (1)

Know the Answer?

Ramon Palmer · Answer 1

A (2, - 2), B (4, - 2), C (1, - 3), D (5, - 3).

A' (1, 2), B' (1, 4), C' (2, 1), D' (2, 5)

That looks like a rotation 90 degrees around the origin then a translation.

Let's do the rotation ABCD->A"B"C"D"

The rotation is (x, y) - > (-y, x)

A" (2, 2), B" (2,4), C" (3,1), D" (3,5).

Compare to

A' (1, 2), B' (1, 4), C' (2, 1), D' (2, 5)

we need to translate one unit to the left.

Answer: 90 degree rotation around the origin then translation by (-1,0)