How do you describe a reflection in geometry?

How do you describe a reflection in geometry?

A reflection is an isometry, which means the original and image are congruent, that can be described as a “flip”. To perform a geometry reflection, a line of reflection is needed; the resulting orientation of the two figures are opposite.

How do you reflect lines?

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

How do you graph a reflection?

How To: Given a function, reflect the graph both vertically and horizontally.

  1. Multiply all outputs by –1 for a vertical reflection. The new graph is a reflection of the original graph about the x-axis.
  2. Multiply all inputs by –1 for a horizontal reflection.

What does it mean to reflect over Y 1?

Explanation: the line y=1 is a horizontal line passing through all. points with a y-coordinate of 1. the point (3,10) reflected in this line. the x-coordinate remains in the same position.

What are the 4 reflection rules?

Reflection on a Coordinate Plane

  • Reflection Over X Axis. When reflecting over (across) the x-axis, we keep x the same, but make y negative.
  • Reflection Over Y Axis. When reflecting over (across) the y-axis, we keep y the same, but make x-negative.
  • Reflection Across Y=X.
  • Reflection Across Y=-X.

Which graph represents a function How do you know?

How To: Given a graph, use the vertical line test to determine if the graph represents a function.

  • Inspect the graph to see if any vertical line drawn would intersect the curve more than once.
  • If there is any such line, the graph does not represent a function.

How do you reflect a specific line?

First shift three units to the left, so the line of reflection becomes the y axis, then flip, and finally remember to shift three units back to the right to put the center line back where it belongs. (This gives the f(6−x) solution you already know).

What does it mean to reflect over Y 0?

Reflection in the line y = 0 i.e., in the x-axis. The line y = 0 means the x-axis. Let P be a point whose coordinates are (x, y). Therefore, when a point is reflected in the x-axis, the sign of its ordinate changes.