Coordinate Proofs

Apply prior geometry ideas in coordinate proofs.

Lesson 2 of 43 parts Practice Flashcards

1/3

Slope-Based Proofs

Objective: Solve and explain slope-based proofs.

Equal slopes establish parallelism for distinct nonvertical lines; negative reciprocal slopes establish perpendicularity.

Worked examples

Try itLine p has slope 3, line q has slope 3, and they are distinct. Relationship?Show answer

Parallel. Distinct nonvertical lines of equal slope are parallel.

Swipe sideways to move between sections

Objective: Solve and explain slope-based proofs.

Equal slopes establish parallelism for distinct nonvertical lines; negative reciprocal slopes establish perpendicularity.

Worked examples

Try itLine p has slope 3, line q has slope 3, and they are distinct. Relationship?Show answer

Parallel. Distinct nonvertical lines of equal slope are parallel.

Objective: Solve and explain distance-based proofs.

Distance formula can establish equal lengths and congruent segments.

Worked examples

Try itPoints A=(0,0), B=(3,4). What is AB?Show answer

5. Use distance formula and 3-4-5 scaling.

Objective: Solve and explain midpoint-based proofs.

Midpoint formula can establish that diagonals bisect one another.

Worked examples

Try itFind the midpoint of (1,3) and (5,9).Show answer

(3,6). Average x and y coordinates separately.

You finished the reading!

Lock it in with a few practice questions, then move on to the next lesson.