Reflection Rule for X-axis
Reflecting a point $(x, y)$ along the x-axis means keeping the x-coordinate the same and changing the sign of the y-coordinate. The resulting point is $(x, -y)$.
Applying Reflection to Point (7, 8)
The given point is $(7, 8)$.
Applying the x-axis reflection rule:
- The x-coordinate remains $7$.
- The y-coordinate changes from $8$ to $-8$.
Therefore, the reflected point is $(7, -8)$.
Identifying the Correct Option
The calculated reflected point is $(7, -8)$. This matches Option 4.
Similar Questions
- Find the relation between x and y such that the point (x, y) is equidistant from (6, 2) and (4, 6).
- Find the area of a triangle formed by $(1, 0)$, $(-1, 0)$, $(0, 1)$.
- The points A (1, 2), B (3, 4) and C (4, 1) are the vertices of a triangle which is:
- Three straight lines $x + y - 3 = 0$, $x + y + 2 = 0$ and $3x + 3y - 7 = 0$ are:
- The equation of a straight line passing through (-2,5) and (1,3) is:
- The intercepts made by the plane $3x - 4y - 2z = 6$ with the coordinate axis are:
- Find the relation between x and y such that the point (x, y) is equidistant from (5, 3) and (4, 6).
- The distance between two points $(a \cos \alpha, 0)$ and $(0, a \sin \alpha)$ is_____.
- The area of the triangle formed by the line $2x - 4y - 7 = 0$ with the coordinate axis is:
- The distance from the origin to the line $4x + 3y + 6 = 0$ is:
Important Questions from Coordinate Geometry
What is the reflection of the point (-1, 5) in the line x = 1?
What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(-4, 0) and C(3, -4)?
Slope of the line AB is 4/3. Co-ordinates of points A and B are (x, -5) and (2, -3) respectively. What is the value of x?
Find the co-ordinates of the centroid of a triangle whose vertices are A(1, 4), B(7, 8) and C(10, 12).
- If x² + y² - 12x + 18y + 117 = 0, then the value of x² + y² is:
