SOLUTION: Show that the quadrilateral with vertices (0,1)(4,2)(3,6)(-5,4) has two right angles. Find the area

Algebra.Com
Question 865155: Show that the quadrilateral with vertices (0,1)(4,2)(3,6)(-5,4) has two right angles. Find the area
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
(0,1)(4,2)(3,6)(-5,4)
(0,1)(4,2)(3,6) forms right angle
(4,2)(3,6) y = 18-4 x
(0,1)(4,2) y = x/4+1
slopes are -4 and 1/4
-4*1/4=-1 they are perpendicular and form a right angle
(4,2)(3,6)(-5,4) forms right angle
(3,6)(-5,4) y = x/4+21/4
(4,2)(3,6) y = 18-4 x
slopes are -4 and 1/4
-4*1/4=-1 they are perpendicular and form a right angle
area 25.5

RELATED QUESTIONS

Find the area of a quadrilateral having the points (-3, 4), (-2, -1), (4, 4) and (0, 5)... (answered by Alan3354,ikleyn)
Show in two ways that the quadrilateral with vertices (0, -1) (1, 2) (-4, 7) and (-5, 4)... (answered by Alan3354)
Show in two ways that points 6 1 , 2 -3, and 4-5, are the vertices of a right triangle... (answered by josgarithmetic)
Find the area of quadrilateral formed with vertices... (answered by Alan3354)
show that a triangle with vertices (5,-3) (2,-6) and (1,1) is a right angled triangle.... (answered by MathLover1)
A parallelogram whose diagonals are perpendicular is called a rhombus. Given the... (answered by Solver92311)
Find the slopes of the two diagonals of the quadrilateral with vertices at the points... (answered by Alan3354)
Determine whether the polygons with the given vertices are similar. Quadrilateral ABCD... (answered by KMST)
Find the area of the triangle whose vertices are (3; 4) ; (-2; 5) ;... (answered by Fombitz)