**EMAT
6700**

**by
Brad Simmons**

**Reflecting a Triangle**

Use geometer's sketchpad to reflect a triangle over a line.

**Construct the reflected image of triangle ABC over line m.**

1. Since point A is on line m, point A is its own reflection. Construct perpendiculars from point B and point C through line m.

2. Locate point Y and point Z so that line m is the perpendicular bisector of segment BY and segment CZ. Points Y and Z are the reflected points of B and C.

3. Hide the construction objects. Connect vertices A, Y, and Z.

Since points A, Y, and Z are reflected images of points A, B, and C, triangle AYZ is the reflection of triangle ABC.

Please click here for a geometer's sketchpad sketch of the figure shown above.