Desmos showing algebraically that rectangle has perpendicular sides

sirnam505

New member
Joined
Feb 20, 2019
Messages
2

These are linear inequalities that only leave interior of rectangle as white space. They are:

. . . . .\(\displaystyle y\, <\, 5x\)

. . . . .\(\displaystyle y\, >\, 5x\, +\, 2\)

. . . . .\(\displaystyle x\, >\, -5y\)

. . . . .\(\displaystyle x\, <\, -5y\, -\, 2\)

No vertical or horizontal lines were allowed to make this.
I need to be able to show algebraically or numerically that the rectangle has perpendicular sides. Essentially proving that the sides are perpendicular. How would I go about doing this?
 
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Otis

Senior Member
Joined
Apr 22, 2015
Messages
1,154
💡 Show that the slopes (in any pair of perpendicular lines) are negative reciprocals of each other.

EG:

y = 4x + 3
y = (-1/4)x - 7

The slopes are negative reciprocals, so those lines are perpendicular.
 

HallsofIvy

Elite Member
Joined
Jan 27, 2012
Messages
4,777

These are linear inequalities that only leave interior of rectangle as white space. They are:

. . . . .\(\displaystyle y\, <\, 5x\)

. . . . .\(\displaystyle y\, >\, 5x\, +\, 2\)

. . . . .\(\displaystyle x\, >\, -5y\)

. . . . .\(\displaystyle x\, <\, -5y\, -\, 2\)

No vertical or horizontal lines were allowed to make this.
I need to be able to show algebraically or numerically that the rectangle has perpendicular sides. Essentially proving that the sides are perpendicular. How would I go about doing this?
By the way- you titled this "Showing that rectangle has perpendicular sides". A rectangle by DEFINITION has perpendicular sides. What you meant was "Showing that this geometric object IS a rectangle".
 
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