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Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 students know the definition of reflection and perform reflections across a line using a transparency (tracing paper). Learn that a reflection maps lines to lines, rays to rays, segments to segments, and angles to angles. Learn that reflections preserve lengths of segments and degrees of angles. Know that reflections map parallel lines to parallel lines. Know that for the reflection across a line L and for every point P not on L, L is the bisector of the segment joining P to its reflected image P'.

Reflections involve flipping a figure over a line (called the line of reflection) to create a mirror image. This process is common in geometry and can be performed on a coordinate plane or with simple tools like mirrors or tracing paper.

Reflection with Tracing Paper or Transparency

- Trace the Original Figure:

Place tracing paper or a transparency over the original figure and trace it. - Flip Over the Line of Reflection:

Physically flip the tracing paper or transparency over the line of reflection.

Ensure that each point on the original figure lands exactly opposite its corresponding point on the line of reflection. - Transfer the Reflected Image:

Trace the reflected figure onto the paper or coordinate plane.

Steps to Perform Reflections of Figures on the Coordinate Plane

- Identify the Line of Reflection:

The line of reflection could be the x-axis, y-axis, or any other line on the coordinate plane (e.g., - Reflect Points Across the Line:

For each point on the figure, determine its reflection by measuring its distance from the line of reflection and placing the reflected point the same distance on the opposite side of the line. - Plot the Reflected Points:

After finding the reflected position of each point, plot these points on the coordinate plane. - Connect the Dots:

Connect the reflected points in the same order as the original figure to complete the reflected figure.

Have a look at this video if you need to review how to perform reflection using tracing paper.

Click on the following worksheet to get a printable pdf document.

Scroll down the page for more **Reflection Worksheets**.

**Printable**

(Answers on the second page.)

Reflection Worksheet #1

Reflection Worksheet #2

Reflection Worksheet #3

Reflection Properties

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