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'?
None of the above
90° counterclockwise
180°
90° clockwise
Is it c
pls help
ALY is WRONG your right Oscar
To determine the rotation that was applied to triangle DEF to create triangle D'E'F', we can compare the coordinates of the corresponding vertices.
The vertex D(−1, 6) is transformed to D'(6, 1).
From D to D', we can observe that the x-coordinate has changed from -1 to 6, and the y-coordinate has changed from 6 to 1.
Since the x-coordinate has increased and the y-coordinate has decreased, we can determine that a 90° clockwise rotation has been applied.
Therefore, the correct answer is: 90° clockwise rotation (option d).
To determine the rotation that was applied to triangle DEF to create triangle D'E'F', we can compare the corresponding vertices. In this case, we can observe that:
- Point D in triangle DEF corresponds to point E' in triangle D'E'F'
- Point E in triangle DEF corresponds to point F' in triangle D'E'F'
- Point F in triangle DEF corresponds to point D' in triangle D'E'F'
By examining the correspondence between the points, we can see that the vertices of triangle D'E'F' are obtained by rotating the vertices of triangle DEF 90° clockwise.
Hence, the correct answer is "90° clockwise".