GeoGebra Classroom

# Unit 1 Lesson 4 Construction Technique: Equilateral Triangle

Look at the image above. What do you notice? What do you wonder? [Write at least 1 noticing AND 1 wondering]

BELOW is a straightedge and compass construction of a regular hexagon inscribed in a circle just before the last step of drawing the sides: Use the polygon tool (the one that looks like a triangle) to draw at least 2 DIFFERENT Equilateral Triangles. ﻿The vertices of your triangles should be intersection points in the figure. Shade in your polygons using different colors to make them easier to see. ﻿Use the style bar to change the color. Click the "move" tool, select your polygon, click style bar(it's the ﻿purple circle/triangle icon and change the color)

Write at least 2 conjectures (things you think are true) about the polygons you made. [Are any of the sides equal? What do you think about the angles?]

Given the segment below, use Compass and Straightedge moves to construct an equilateral triangle. [Hint: Start with a circle, add more circles the same size...]

Explain how you know your Triangle is EQUILATERAL.