We will discuss here about reflection of a point in a line parallel to the x-axis.
Let P be a point whose coordinates are (x, y), AB be a line parallel the x-axis and the distance of AB from the x-axis be a. Let the image of P be P’ in the line AB
Clearly, P’ will be similarly situated on that side of AB which is opposite to P. So, the y-coordinates of P’ will be -y + 2a while the x-coordinate will be the same as that of P.
The image of the point (x, y) in the line parallel to the x-axis at a distance form the x-axis (i.e., y = a) is the point(x, -y + 2a), where a is taken positive if the line is on the positive side of the y-axis and a is taken negative if the line is on the negative side of the y-axis.
(i) The image of the point (2, 4) in the line parallel to the x-axis at a distance 1 unit above the x-axis (i.e., y = 1) is (2, -4 + 2 × 1), i.e., (2, -2)
(ii) The image of the point (-3, 5) in the line parallel to the x-axis at a distance 2 units below the x-axis (i.e., y = -2) is (-3, -5 + 2 × (-2)), i.e., (-3, -9)
10th Grade Math
From Reflection of a Point in a Line Parallel to the x-axis to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
New! CommentsHave your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.