if an angle measuring 48° is translated 3 units right Downton units and reflected over the y-axis and rotated 180 degrees what is the measure now?
A. 49 dg
B. 48 dg
C. 228 dg
D. 53 dg
translations, reflections and rotations do not change the angle.
What would be the answer
To solve this problem, let's break it down step by step:
Step 1: Translation 3 units to the right and down
When an angle is translated, it means that it is moved in a particular direction without any rotation. In this case, the angle is translated 3 units to the right and down. Let's call the original angle A and the translated angle B.
Step 2: Reflection over the y-axis
When an angle is reflected over the y-axis, it means that the angle is mirrored or flipped horizontally. This reflection does not change the measurements or angles inside the figure. Let's call the reflected angle C.
Step 3: Rotation 180 degrees
When an angle is rotated 180 degrees, it means that it is turned around in a circular motion by 180 degrees. This rotation will result in a new angle. Let's call the new angle D.
Now, let's calculate the measurements of each step:
Step 1: Translation
Since the angle is translated 3 units to the right and down, the position of the initial angle A will change. However, the measure of the angle remains the same. So, angle B will also have a measure of 48 degrees.
Step 2: Reflection over the y-axis
As mentioned earlier, reflection does not affect the measure of an angle. So, the measure of the reflected angle C will also be 48 degrees.
Step 3: Rotation 180 degrees
When an angle is rotated by 180 degrees, its measure is inverted or flipped. In this case, since both angles B and C have the same measure of 48 degrees, their rotation will result in an angle with a measure of 48 degrees again.
Therefore, the measure of the final angle D is 48 degrees, which is option B.