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G-GPE.B.4 — Practice Problems

High School G-GPE Covered
Use coordinates to prove simple geometric theorems algebraically.

Use coordinates to prove simple geometric theorems algebraically, for example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle, or prove or disprove that a given point lies on a circle of a given center and radius.

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Sample G-GPE.B.4 problems

19 problem types align to this standard. Every worksheet is a fresh set with complete step-by-step solutions.

Sample practice problems for Common Core G-GPE.B.4

Other High School standards with practice

  • A-SSE.A.1 Interpret the structure of expressions.
  • A-SSE.A.2 Interpret the structure of expressions.
  • A-SSE.B.3 Write expressions in equivalent forms to solve problems.
  • A-SSE.B.4 Write expressions in equivalent forms to solve problems.
  • A-APR.A.1 Perform arithmetic operations on polynomials.
  • A-APR.B.2 Understand the relationship between zeros and factors of polynomials.
  • A-APR.B.3 Understand the relationship between zeros and factors of polynomials.
  • A-APR.C.4 Use polynomial identities to solve problems.
  • A-APR.C.5 Use polynomial identities to solve problems.