Question

1. use the construction tool at https://redcomet.org/geometry-tool/ to construct an equilateral triangle. then follow the instructions from the lesson and the video from the lesson to construct an equilateral triangle. make sure to show all construction marks. save your construction and submit it in the drop box. (you can insert your saved construction as an image) geometry tool

Explanation:

Step1: Draw a line segment

Use the line tool to draw a line segment, say \( AB \), of any length. This will be one side of the equilateral triangle.

Step2: Construct two circles

• With the compass tool, set the radius equal to the length of \( AB \).
• Place the compass at point \( A \) and draw a circle.
• Then, place the compass at point \( B \) and draw another circle. The two circles will intersect at two points; let's call one of them \( C \).

Step3: Draw the remaining sides

Use the line tool to draw line segments \( AC \) and \( BC \). Now, triangle \( ABC \) is an equilateral triangle since \( AB = AC = BC \) (all radii of the circles we drew are equal). Also, make sure to show all construction marks (the arcs from the circles, the original line segment) as required.

Answer:

The equilateral triangle is constructed as described above (using the construction tool to draw the line segment, the two intersecting circles, and the remaining sides, with all construction marks visible).