WSP Simson Line

• ## Simson Line

This applet allows for the construction and exploration of the Simson Line.

This interactive is optimized for your desktop and tablet.

### How to Use

• Use the red points on the triangle to adjust the size
• You can drag the triangle around the workspace by dragging its area, but you will not be able to drag any other object.

### Buttons

• The buttons are meant to be used sequentially, so they will appear in order.
• The Reset button can be used to start over at any point.

### Exploration

• Why are P(1), P(2), and P(3) collinear? Can you provide a proof?
• Find the orthocenter of a triangle along with the Simson Line. Now, connect P to the orthocenter. What is the relationship?

### Objectives and Standards

NCTM Standards and Expectations
• Geometry / Measurement
• Functions and Trigonometry
• Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
• High School (9-12)
• Geometry
• Measurement