Problem preview
G-GPE.4 Warmup M2-043-A12-V02

Use coordinates to prove simple geometric theorems, including simple circle theorems.

Complete a coordinate proof from calculated evidence

Problem

Diagonals \(AC\) and \(BD\) \(\text{both}\) have calculated midpoint \((3,~4)\). State how a common midpoint locates the intersection on each diagonal and complete the bisection conclusion.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-GPE.4
Category
Geometry
Domain
Expressing Geometric Properties with Equations
Objective
Use coordinates to prove simple geometric theorems, including simple circle theorems.
Problem type
Complete a coordinate proof from calculated evidence