Q1
What is the reflection of (3,4) across the x-axis?
A(3,-4)
B(-3,4)
C(4,3)
D(-3,-4)
ICSEClass 10 (ICSE)MathematicsCh 12 · Topic 1
Reflection
Reflection in coordinate geometry involves finding the mirror image of a point or shape across a line, like the x-axis, y-axis, or another l
Core concept
Reflecting a point (x,y) across the x-axis gives (x,-y), while reflecting across the y-axis gives (-x,y).
How it works
Reflecting a point across the line y=x swaps the coordinates, giving (y,x) as the reflected point.
Why it matters
When reflecting a shape, each point of the shape is reflected individually, maintaining the shape's size and form but reversing orientation.
Key detail
Understanding reflection helps us solve coordinate geometry problems and is fundamental to concepts like symmetry and transformations.
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Quick notes
• Reflecting (x,y) across x-axis gives (x,-y).
• Reflecting across y-axis gives (-x,y).
• Reflecting across y=x gives (y,x).
• Shape reflection reflects each point individually.
• Size and form stay the same; orientation reverses.
• Reflection is a type of transformation.
• It's fundamental for symmetry concepts.
• Practice builds coordinate geometry skills.