The statements which describe A'B' is:
A'B' and AB are equal in length ⇒ (B)
Step-by-step explanation:
Let us take about reflication:
⇒ Reflections are mirror images, means the shape or the size of
the figure does not affect by reflection, think of "folding" the
graph over the y-axis or the x-axis
⇒ On a grid, you used the formula (x, y) → (-x, y) for a reflection in
the y-axis and used the formula (x, y) → (x, -y) for a reflection in
the x-axis.
In our question segment AB, where A = (1, 3) and B = (5, 3) is
reflected about the y-axis
By using the rule above
∴ A' =(-1, 3)
∴ B' = (-5,3)
∵ Reflection does not change the shape or the size of the original figure
∴ Line segment A'B' has the same length of line segment AB
The correct answer is:
A'B' and AB are equal in length
You can check your answer by finding the lengths of AB and A'B'
∵ The length of AB = 5 - 1 = 4 units
∵ The length of A'B' = -1 - (-5) = -1 + 5 = 4 units
∴ AB = A'B'
Note:
If the y-coordinates of two points are equal, then the line joining them is horizontal and its length is the difference between the x-coordinates of the two points.
