What is the reflection of the point (4, -3) in the line y = 1?
(4, 5)
Reflection across the horizontal line \(y=k\) keeps \(x\) fixed and sends \(y \to 2k-y\).
With \(k=1\) and the point \((4,-3)\):
\[(x',y') = (4,\; 2(1)-(-3)) = (4,\;5)\]
The point (4,−3) lies 4 units below y = 1, so its image lies 4 units above, giving (4, 5).
Similar Questions
The area (in sq. units) of the triangle formed by the graphs of 8x + 3y = 24, 2x + 8 = y and the x-axis is:
What is the equation of the line perpendicular to the line 2x + 3y = -6 and having Y-intercept 3?
What is the area (in unit squares) of the triangle enclosed by the graphs of 2x + 5y = 12, x + y = 3 and the x-axis?
What are the coordinates of the reflection of the point (-3, 1) about the line x = -2?
What is the reflection of the point (-4, 3) in the line x = -2?
Point P (-2, 5) is the midpoint of segment AB. Co-ordinates of A are (-5, y) and B are (x, 3). What is the value of x?
The co-ordinates of the centroid of a triangle ABC are (2, 2). What are the co-ordinates of vertex C if co-ordinates of A and B are (7, -1) and (1, 2) respectively?
The co-ordinates of the centroid of a triangle ABC are (1, -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3, -4) and (0, 5) respectively?
What is the reflection of the point (2, -3.5) in the y-axis?
What is the reflection of the point (6, -3) in the line y = 2?
Important Questions from Co-ordinate Geometry
In which ratio the point (-3, p) divides the line segment joining the points (-5, -4) and (-2, 3)?
The area (in sq. units) of the triangle formed by the graphs of 8x + 3y = 24, 2x + 8 = y and the x-axis is:
In which quadrant both abscissa and ordinate are negative?
Find the slope of the line joining the points (3, -4) and (5, 2).
Find the value of K for which equation x – Ky = 2, 3x + 2y = 5 has unique solution.
