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10 votes
10 votes
Rotate the angle 90° counterclockwise. Then, translate it left 3 units. Finally, reflect it across the y-axis. What is the relationship between the original angle and the transformed angle? If you transform an angle with a sequence of reflections, rotations, or translations, is it still an angle?

The first image is before I rotate the angle, and the second image is after I rotate the angle.

Rotate the angle 90° counterclockwise. Then, translate it left 3 units. Finally, reflect-example-1
Rotate the angle 90° counterclockwise. Then, translate it left 3 units. Finally, reflect-example-1
Rotate the angle 90° counterclockwise. Then, translate it left 3 units. Finally, reflect-example-2
User CalvT
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1 Answer

14 votes
14 votes

Answer: In geometry, when you translate an object, it means that you have turned that object in a different direction. Hence a translated angle is an angle that has been turned in a different direction.

From the first option in part A, it is clear from the image that the angle didn't change. It moves 7 units from the positive to the negative part of the x-axis.

From Part B, the angles also do not change. Note that when an angle is rotated or translated, it does not modify the angles.

From Part C, what we have is the reflection of the angles. This means that both angles are equal because they are a reflection of each other.

From Part D, the two sets of parallel lines will remain parallel to each other also long as they are both translated as the same time.

From part E, although in each set of parallel lines, the two sets of lines remain equidistant to each other, the parallel line that is at an angle to the Y-axis will not intersect that which is at an angle to the x-axis if they are extended infinitely.

Step-by-step explanation: hope this helps alittle

User Jack Averill
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3.0k points
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