Which of the following is an equivalent transformation to rotation of an object clockwise 90 degrees?(1 point)
Responses
rotation about the origin of 270 degrees counterclockwise
rotation about the origin of 270 degrees counterclockwise
rotation about the origin of 90 degrees counterclockwise
rotation about the origin of 90 degrees counterclockwise
rotation about the origin of 270 degrees clockwise
rotation about the origin of 270 degrees clockwise
rotation about the origin of 180 degrees counterclockwise
rotation about the origin of 180 degrees counterclockwise
rotation about the origin of 270 degrees clockwise
Given a point (−7, 4) on a geometric figure, what is the new point after rotating the figure 90 degrees counterclockwise?(1 point)
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The new point after rotating the point (-7,4) 90 degrees counterclockwise is (4,7).
Given point A(2, 6) on the triangle, what are the new coordinates of the point after the triangle is rotated 180 degrees counterclockwise?
(1 point)
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To rotate a point 180 degrees counterclockwise, we can reverse the sign of both the x and y coordinates of the point.
Given point A(2, 6), after rotating 180 degrees counterclockwise, the new coordinates would be (-2, -6).
△ABC is congruent to △GHE . Describe a sequence of transformations from △ABC to △GHE that proves their congruence.
a=1,-3
b=1,-1
c=4,-3
e=-2,-5
h=-4,2
g=-2,2
To show that triangle ABC is congruent to triangle GHE, we can describe a sequence of transformations. Here is a sequence of transformations that proves their congruence:
1. Translation:
Translate triangle ABC by vector AB → GH.
2. Rotation:
Rotate triangle AB'C' (translated ABC) 90° counterclockwise to match up with GHE.
3. Reflection:
Reflect triangle A''B''C'' (rotated ABC) over line through H and G.
Following these transformations will prove that triangle ABC is congruent to triangle GHE.