Common Core · Mathematics
G-GPE.4
High school · High School: Geometry — Expressing Geometric Properties with Equations
Use coordinates to prove simple geometric theorems algebraically.
- Official code
- CCSS.MATH.CONTENT.HSG-GPE.4
- Short code
- G-GPE.4
- 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.5
Prove the slope criteria for parallel and perpendicular lines and use them to solve...
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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