if ′A′B′ 30 inches then find the distance of ′A′B′ after a reflection over the x-axis and a rotation of 341° clockwise.b
To find the distance after reflection over the x-axis, we simply change the sign of the y-coordinate. If AB is 30 inches, then the distance of A'B' after reflection over the x-axis is also 30 inches.
To find the distance after a rotation of 341° clockwise, we can convert this to a positive angle by adding 360°.
So, the rotation is 341° + 360° = 701°.
A rotation of 701° is equivalent to a rotation of 701° - 360° = 341°.
Therefore, the distance of A'B' after a rotation of 341° clockwise is also 30 inches.
In conclusion, the distance of A'B' after a reflection over the x-axis and a rotation of 341° clockwise is 30 inches.
What is point A (6, 6) after a translation of 4 units left and 2 units down followed by a 180° clockwise rotation around the origin?
To perform the translation of moving 4 units to the left and 2 units down, we subtract 4 from the x-coordinate and subtract 2 from the y-coordinate.
So, the new coordinates after the translation are:
A' = (6 - 4, 6 - 2)
A' = (2, 4)
To perform a 180° clockwise rotation around the origin, we change the signs of both the x and y coordinates.
So, the new coordinates after the rotation are:
A'' = (-2, -4)
Therefore, point A (6, 6) after a translation of 4 units left and 2 units down followed by a 180° clockwise rotation around the origin is A'' (-2, -4).
What is point A after a translation of 5 units right and 2 units up followed by a reflection over the x-axis.
To perform the translation of moving 5 units to the right and 2 units up, we add 5 to the x-coordinate and add 2 to the y-coordinate.
So, the new coordinates after the translation are:
A' = (6 + 5, 6 + 2)
A' = (11, 8)
To perform a reflection over the x-axis, we change the sign of the y-coordinate.
So, the new coordinates after the reflection are:
A'' = (11, -8)
Therefore, point A (6, 6) after a translation of 5 units right and 2 units up followed by a reflection over the x-axis is A'' (11, -8).