Math Problem Statement

Draw the image of D(3,-5) under a reflection over y=x+2.

Solution

Here is the image showing the reflection of point D(3,5)D(3, -5) over the line y=x+2y = x + 2. The original point, the line of reflection, and the reflected point are all clearly marked.

If you need any more details or have further questions, feel free to ask!

Here are 5 related questions you might find useful:

  1. How do you find the equation of a line perpendicular to y=x+2y = x + 2 through a given point?
  2. What are the coordinates of the reflection of the point (4,7)(-4, 7) over the line y=x3y = x - 3?
  3. How does reflecting over a line parallel to the x-axis differ from reflecting over the line y=x+2y = x + 2?
  4. Can you reflect a point over a vertical line, and if so, how?
  5. How do you find the intersection point of two lines in a coordinate plane?

Tip: Reflecting a point over a line often involves finding the perpendicular distance from the point to the line and applying that distance symmetrically on the other side.

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Math Problem Analysis

Mathematical Concepts

Geometry
Reflections in Coordinate Geometry

Formulas

-

Theorems

Reflection over a Line

Suitable Grade Level

Grades 9-12