G-GPE.5

High school · High School: Geometry — Expressing Geometric Properties with Equations

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).

Official code: CCSS.MATH.CONTENT.HSG-GPE.5
Short code: G-GPE.5
Subject: Mathematics
Grade: High school
Domain: High School: Geometry — Expressing Geometric Properties with Equations

More High school High School: Geometry — Expressing Geometric Properties with Equations standards

G-GPE.1 Derive the equation of a circle of given center and radius using the Pythagorean... G-GPE.2 Derive the equation of a parabola given a focus and directrix. G-GPE.3 (+) Derive the equations of ellipses and hyperbolas given the foci, using the fact... G-GPE.4 Use coordinates to prove simple geometric theorems algebraically. G-GPE.6 Find the point on a directed line segment between two given points that partitions the... G-GPE.7 Use coordinates to compute perimeters of polygons and areas of triangles and...

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