Geometry Chapter 9 Review for Pearson enVision Common Core 2018 (Topic 9: Coordinate Geometry)

This video serves as a a compilation design to prepare students for a test on Topic 9: Coordinate Geometry in the Pearson enVision Geometry Common Core 2018 curriculum.

Topics included in this video are...

9-1: Polygons in the Coordinate Plane:
Polygons in the coordinate plane refer to geometric figures with straight sides formed by connecting ordered pairs of points. The coordinates of the vertices of the polygon are used to determine its shape, size, and position. Properties of polygons, such as their perimeter and area, can be calculated using coordinate geometry techniques.

9-2: Proofs Using Coordinate Geometry:
Proofs using coordinate geometry involve using the coordinates of points and algebraic methods to prove geometric theorems and statements. This approach utilizes the properties of lines, angles, and figures in the coordinate plane to establish logical arguments and draw conclusions. Coordinate geometry proofs often involve algebraic equations, slope calculations, and distance formulas.

9-3: Circles in the Coordinate Plane:
Circles in the coordinate plane are sets of points that are equidistant from a fixed point called the center. The equation of a circle in the coordinate plane is expressed using the distance formula. By applying the properties of circles, such as radius, diameter, and equation of a circle, various geometric relationships and calculations can be made.

9-4: Parabolas in the Coordinate Plane:
Parabolas in the coordinate plane are U-shaped curves that can open upwards or downwards. They are defined by quadratic equations of the form y = ax^2 + bx + c. The vertex of a parabola represents its minimum or maximum point, and the axis of symmetry divides the parabola into two symmetrical halves. Parabolas have distinct properties and applications in mathematics and physics.

The study of polygons, coordinate geometry proofs, circles, and parabolas in the coordinate plane provides a deeper understanding of geometric figures and their relationships in a numerical framework. Coordinate geometry enables precise calculations and analysis of these geometric concepts using algebraic techniques.

These videos are designed to review and reteach high school Geometry content. My videos cover…

Points, Lines, and Planes,
Angles and Angle Relationships,
Triangles,
Quadrilaterals,
Circles,
Similarity and Proportions,
Congruent Figures,
Coordinate Geometry,
Transformations,
Area and Perimeter,
Volume and Surface Area,
Right Triangles and Trigonometry,
Geometric Proofs,
Constructions,
Non-Euclidean Geometries.

Nick Perich
Norristown Area High School
Norristown Area School District
Norristown, Pa
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