# Expressing Geometric Properties with Equations

• Translate Between The Geometric Description And The Equation For A Conic Section
• G.GPE.1
Derive the equation of a circle of g...
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• G.GPE.2
Derive the equation of a parabola gi...
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• G.GPE.3
(+) Derive the equations of ellipses...
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• Use Coordinates To Prove Simple Geometric Theorems Algebraically
• G.GPE.4
Use coordinates to prove simple geom...
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• G.GPE.5
Prove the slope criteria for paralle...
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• G.GPE.6
Find the point on a directed line se...
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• G.GPE.7
Use coordinates to compute perimeter...
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• 9-12
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### Graphing the Ellipse and the Hyperbola

Correctly identify the cofficients to determine if the graph will be an ellipse or a hyperbola.

### The Standard and General Form of a Parabola

Discover the equation of a parabola when you investigate the graph.

### Graphing the Ellipse and the Hyperbola

Convert equations of hyperbolas and ellipses to the standard forms.

### Finding the Equation of the Ellipse and the Hyperbola

Write the equations of ellipses and hyperbolas from graphs in this interactive investigation.

### Solving an Ellipse

Find all of the defining characteristics of the graph or an ellipse - vertices, foci and center.

### Coordinate Geometry - Using the Coordinate Plane in Proof

Prove lines parallel or perpendicular using coordinate geometry.

### Proofs in Coordinate Geometry

Use coordinate geometry to identify different polygons.

### Multiple Choice Practice -Coordinate Geometry

Test your knowledge of coordinate geometry with this multiple choice practice quiz.

### Practice with Graphs of Circles

Practice writing the equations of circles.

### Slopes and Equations of Lines

Use coordinate geometry to solve slope, lines, triangles and quadrilaterals.

### Step-by-Step Math Answer - Perimeter of a Polygon

Use the distance formula to calculate perimeter with this step-by-step example problem.

### Graphing the Ellipse and the Hyperbola

Correctly identify the cofficients to determine if the graph will be an ellipse or a hyperbola.

### The Standard and General Form of a Parabola

Discover the equation of a parabola when you investigate the graph.

### Graphing the Ellipse and the Hyperbola

Convert equations of hyperbolas and ellipses to the standard forms.

### Finding the Equation of the Ellipse and the Hyperbola

Write the equations of ellipses and hyperbolas from graphs in this interactive investigation.

### Solving an Ellipse

Find all of the defining characteristics of the graph or an ellipse - vertices, foci and center.

### Coordinate Geometry - Using the Coordinate Plane in Proof

Prove lines parallel or perpendicular using coordinate geometry.

### Proofs in Coordinate Geometry

Use coordinate geometry to identify different polygons.

### Multiple Choice Practice -Coordinate Geometry

Test your knowledge of coordinate geometry with this multiple choice practice quiz.

### Practice with Graphs of Circles

Practice writing the equations of circles.

### Slopes and Equations of Lines

Use coordinate geometry to solve slope, lines, triangles and quadrilaterals.

### Step-by-Step Math Answer - Perimeter of a Polygon

Use the distance formula to calculate perimeter with this step-by-step example problem.

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