Coordinate Geometry of Quadrilaterals

Rating:

- (1)
- (1)
- (0)
- (0)
- (2)

Description:

Review how to determine whether or not lines and line segments in the coordinate plane are parallel or perpendicular by computing and comparing the slopes.
Present how to use slope, midpoint and distance formula to determine from the coordinates of the vertices whether a quadrilateral is a parallelogram, rectangle, square, rhombus, trapezoid, or isosceles trapezoid.
Provide examples that allow practice using coordinate geometry to classify quadrilaterals in a coordinate plane.

This packet should help a learner seeking to understand how to determine from the coordinates of the vertices whether a quadrilateral is a parallelogram, rectangle, square, rhombus, trapezoid, or isosceles trapezoid.

(more)

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and universities.*

Begin Free Trial

No credit card required

29 Sophia partners guarantee credit transfer.

312 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 27 of Sophia’s online courses. Many different colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial

Using Slope to Determine if Lines are Parallel

This video reviews how to determine whether or not lines are parallel by computing and comparing slopes.

open player in a new window

Source: Kevin Kriescher on Guaranteach

Using Slope to Determine if Lines are Perpendicular

This video reviews how to determine whether or not lines are perpendicular by computing and comparing the slopes.

open player in a new window

Source: Kevin Kriescher on Guaranteach

Identifying Quadrilaterals Using Coordinate Geometry

This video presents how to use slope, midpoint and distance formula to determine from the coordinates of the vertices whether a quadrilateral is a parallelogram, rectangle, square, rhombus, trapezoid, or isosceles trapezoid.

open player in a new window