Discover that the place of all points equidistant from two fixed points is a straight line

Use circles and intersections of circles to find points equidistant from two fixed points

Use geometric tools to construct circles to meet requirements

Solve complex problems involving the angle sum of a triangle

Develop an algorithm to construct squares

Identify relationships between angles formed with parallel lines

Combine properties of parallel lines and properties of polygons to solve for unknown angles

Use the angle sum of consecutive angles formed by a transversal to draw geometric conclusions

Use the properties of alternate angles to solve geometric problems

Apply reflections and rotations of shapes in the plane

Use geometric constructions to construct precise angles measuring 30, 45, 105, and 120 degrees

Use angles formed by a transversal to identify parallel and intersecting lines

Plot points, segments, and lines to connect reflections and translations

Explore the relationship between regular polygons and their external angles