Examples for

# Common Core Math: High School Geometry: Expressing Geometric Properties with Equations

High school students use algebraic symbols and notation for the coordinate plane to describe geometric figures. In particular, students learn how to write equations to describe conic sections, which include circles and parabolas and, in advanced classes, ellipses and hyperbolas. Students also use algebraic notation with coordinates to prove geometric theorems and compute measurements such as perimeter and area.

### Common Core Standards

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### Coordinate Geometry

Use coordinates to describe and reason with geometric figures.

#### Express geometric figures in terms of coordinates (CCSS.Math.Content.HSG-GPE.B.4):

#### Find equations of parallel and perpendicular lines (CCSS.Math.Content.HSG-GPE.B.5):

#### Partition a line segment (CCSS.Math.Content.HSG-GPE.B.6):

#### Compute areas and perimeters of polygons (CCSS.Math.Content.HSG-GPE.B.7):

### Conic Sections

Define and describe circles, parabolas, ellipses and hyperbolas.