If A point K is the reflection of L (2,5) IN THE Y AXIS WHAT IS THE LENGTH OF KL
How far is (2,5) from the y-axis?
K is the same distance away on the other side.
IT DOESNT SAY STEVE
Oh, my. I'm not asking you what it said; I'm asking whether you cannot figure out how far away from the y-axis the point (2,5) is.
draw the x- and y- axes, and plot the point (2,5). If you can do that, you can just look at the graph paper and see how far the point is from the y-axis.
Or, if you just want the algebra, then consider that reflection in the y-axis takes
(x,y) -> (-x,y)
so, K is (-2,5)
Now just drag out your good old distance formula and crank out the answer.
THANK STEVE i HAVE THE ASNWER
To find the length of KL, we need to find the coordinates of point K.
Since K is the reflection of L in the y-axis, the x-coordinate of K will be the negative of the x-coordinate of L, while the y-coordinate remains the same.
Given that L has coordinates (2, 5), the x-coordinate of K will be -2, while the y-coordinate will remain 5.
Now, we can calculate the length of KL using the distance formula:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
In this case, the coordinates of K are (-2, 5) and the coordinates of L are (2, 5).
Plugging these values into the distance formula:
Distance = √((-2 - 2)² + (5 - 5)²)
= √((-4)² + 0²)
= √(16 + 0)
= √16
= 4
Therefore, the length of KL is 4 units.