if AB = 30 inches then find the distance of A'B' after a reflection over the x-axis and a translation of (x+7,y-9)
To find the distance of A'B' after a reflection over the x-axis and a translation of (x+7,y-9), we need to understand the transformation processes involved.
1. Reflection over the x-axis: When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the new coordinates of A' and B' after reflection over the x-axis will be (x, -y).
2. Translation of (x+7, y-9): A translation moves a point a certain distance horizontally and vertically. In this case, we are moving the point (x, -y) 7 units to the right and 9 units down. So, the new coordinates of A" and B" after the translation will be (x + 7, -y - 9).
To find the distance between A' and B' after these transformations, we need to calculate the distance between A" and B".
The coordinates of A" are (x + 7, -y - 9) and the coordinates of B" are also (x + 7, -y - 9). Since the x-coordinates are the same, the distance between A" and B" will be the difference in their y-coordinates.
Distance of A'B' = |-y - 9 - (-y)| = |-9| = 9 units.
inches
If AB = 30 inches, the distance of A'B' after the given transformations will also be 30 inches. The transformations (reflection over the x-axis and translation) do not change the length of the segment.
What is the length of BC undergoes a reflection over the x-axis?
units
To find the length of BC after a reflection over the x-axis, we need to understand the transformation process involved.
1. Reflection over the x-axis: When a line segment is reflected over the x-axis, its length remains the same. The reflected segment will have the same length as the original segment.
Therefore, the length of BC after a reflection over the x-axis will be the same as its original length. Since the length of AB is given as 30 inches, the length of BC will also be 30 inches.
units
Since the length of AB is given as 30 inches, the length of BC after a reflection over the x-axis will also be 30 inches.
What is the measurement of ∠C if is rotated
260° clockwise.
∠C=
To find the measurement of ∠C after rotating it 260° clockwise, we need to understand the rotation process.
1. Clockwise rotation: A clockwise rotation involves rotating an angle in the clockwise direction, which means it decreases the angle measurement.
If the original measurement of ∠C is x degrees, then after rotating it 260° clockwise, the new measurement will be x - 260°.
Therefore, ∠C = x - 260°.