Point D(-3,5) is a vertex of triangle DEF. After rotation of the triangle about the origin D us located at (3,5). Which of the following was the rotation of the triangle?
A. 90* (degrees) clockwise
B. 90* Counterclockwise
C. 180*
D. 360*
1 A C D
2 A
3 C
4 B
5 C
I got a 100%
180
The answer is 180 degrees I just took the test I pass it 100% you can trust me 100%
To determine the rotation of the triangle, we can compare the coordinates of point D before and after the rotation.
The original coordinates of point D are (-3, 5), and after the rotation, point D is located at (3, 5).
When a point is rotated about the origin (0, 0), the x-coordinate and y-coordinate are swapped, while the signs may change based on the direction of rotation.
From the given information, we can conclude that the x-coordinate of point D remained the same, but the y-coordinate changed sign (5 to -5). This indicates that the point was rotated 180 degrees clockwise.
Therefore, the correct answer is C. 180 degrees.
Make a sketch and notice the nice symmetry.
I constructed a right-angled triangle, and using basic trig then angle of rotation
= 2(tan^-1 (3/5)
= 2(30.96..
= appr 61.9° clockwise