Learning Targets:
I can construct an equilateral triangle.
I can identify congruent segments in figures and explain why they are congruent.
inscribed: We say a polygon is inscribed in a circle if it fits inside the circle and every vertex of the polygon is on the circle. We say a circle is inscribed in a polygon if it fits inside the polygon and every side of the polygon is tangent to the circle.
Standards Addressed:
G-CO.D.12: Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
G-CO.D.13: Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
Think of at least one thing you notice and at least one thing you wonder.
You constructed a regular hexagon inside of a circle in a previous lesson. When a shape fits inside a circle and every vertex of the polygon is on the circle, we say the shape is inscribed in the circle. The word inscribe breaks into parts in, meaning inside, and scribe, meaning drawn or written, and so the word literally means drawn inside.