## Resources by Standard

**MCC9-12.G.GPE.4**

Use coordinates to prove simple geometric theorems algebraically. For

*example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2).*

__Properties of different types of quadrilaterals (Powerpoint)__

**MCC9-12.G.GPE.5**

Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

PowerPoint

**MCC9-12.G.GPE.6**

Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

PowerPoint 1

PowerPoint 2

**MCC9-12.G.GPE.7**

Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.

PowerPoint (Distance formula, Pythagorean Theorem)