Math II · G-GPE.4

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

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

Concept Geometry
Domain Expressing Geometric Properties with Equations
Problem Types

Problem Templates In This Objective

10 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Compare two exact coordinate distances for congruence

4 variants
Template 2

Compare two coordinate slopes for parallelism

4 variants
Template 3

Compare two coordinate slopes for perpendicularity

4 variants
Template 4

Compare midpoint coordinates to verify bisection

4 variants
Template 5

Verify or reject a coordinate tangent claim

4 variants
Template 6

Verify a diameter/right-angle claim with squared lengths

4 variants
Template 7

Disprove a claim with a specified coordinate calculation

4 variants
Template 8

Choose the coordinate method needed for a proof goal

4 variants
Template 9

Complete a coordinate proof from calculated evidence

4 variants
Template 10

Interpret a coordinate-proof result as a geometric conclusion

4 variants