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Triangles DEF and D'E'F' are shown on the coordinate plane below: Triangle DEF and triangle D prime E prime F prime with ordered pairs at D negative 1, 6, at E 1, 3, at F 6, 3, at D prime 6, 1, at E prime 3, negative 1, at F prime 3, negative 6. What rotation was applied to triangle DEF to create triangle D'E'F'?

Triangles DEF and DEF are shown on the coordinate plane below Triangle DEF and triangle D prime E prime F prime with ordered pairs at D negative 1 6 at E 1 3 at class=
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This is a 90 degree rotation clockwise around the origin.

Answer:

Rotation of 90° clockwise applied to triangle DEF.

Step-by-step explanation:

Given : Triangles DEF and D'E'F' are shown on the coordinate plane below.

To find : What rotation was applied to triangle DEF to create triangle D'E'F'?

Solution : We have given that triangles DEF and D'E'F'.

Coordinates of D (-1, 6)  ; E ( 1, 3) and F( 6, 3) .

Coordinates of D' (6, 1)  ; E' ( 3, -1) and F'( 3, -6) .

By the rotational rule of  90° clockwise ( x, y)→→( y , -x).

Then we can D (-1, 6) →→ D' (6, 1) .

                    E ( 1, 3) →→  E' ( 3, -1).

                  F( 6, 3)→→F'( 3, -6) .

Therefore, Rotation of 90° clockwise applied to triangle DEF.

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