Math I · G-GPE.4

Use coordinates, distance, and algebra to prove or disprove simple geometric statements.

Use coordinates, distance, and algebra to prove or disprove simple geometric statements.

Concept Geometry
Domain Expressing Geometric Properties with Equations
Problem Types

Problem Templates In This Objective

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

Template 1

Use the distance formula to prove segments congruent

4 variants
Template 2

Use slope to prove distinct lines are parallel

4 variants
Template 3

Use slope to prove lines are perpendicular

4 variants
Template 4

Use midpoint formula to show diagonals bisect each other

4 variants
Template 5

Prove a quadrilateral is a parallelogram using coordinates

4 variants
Template 6

Prove a quadrilateral is a rectangle using coordinates

4 variants
Template 7

Prove a quadrilateral is a rhombus using coordinates

4 variants
Template 8

Use coordinates to prove or disprove a right triangle

4 variants
Template 9

Use coordinates to decide whether three points form an isosceles triangle

4 variants
Template 10

Use coordinates to prove a segment is a median

4 variants
Template 11

Use coordinates to prove a segment is an altitude

4 variants
Template 12

Choose the best coordinate method for a geometric claim

4 variants
Template 13

Disprove a geometric claim with coordinate evidence

4 variants
Template 14

Complete a missing coordinate calculation in a proof step

4 variants