Use coordinates to prove theorems

Start lessonBegins with Coordinate proof tools · Slides

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

HSG.GPE.B.4

**HSG.GPE.B.4**: 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; prove or disprove that the point (1, sqrt(3)) lies on the circle centered at the origin and containing the point (0, 2).

HSG.GPE.B.4: 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; prove or disprove that the point (1, sqrt(3)) lies on the circle centered at the origin and containing the point (0, 2).

What you'll learn

Place geometric figures on a coordinate plane using strategic coordinate assignments to simplify algebraic work
Use the distance formula to verify side lengths and determine whether sides of a figure are congruent
Use slopes to verify whether sides of a figure are parallel or perpendicular
Construct a complete coordinate geometry proof that a given quadrilateral is a rectangle, parallelogram, rhombus, or other specific figure
Prove or disprove that a given point lies on a circle by substituting coordinates into the circle's equation

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