Question

What kind of quadrilateral is formed by joining the points (4, 0), (4, 3), (-4, 3) and (-4, 0) ?

Answer 1

Answer

Either a square or rectangle

Step-by-step explanation:

Answer 2

Answer:

we should find thise by distance formula

let

a(4,0),b(4,3),c(-4,3)and d(-4,0)

ab=√(x2-x1)2+(y2_y1)2

ab=√(4-4)2+(3-0)2

ab=√0+9

ab=√9

ab=3

bc=√(x2-x1)2+(y2_y1)2

bc=√(-4-4)2+(3-3)2

bc=√(-8)2+(0)

bc=√16

bc=4

cd=√(x2-x1)2+(y2_y1)2

cd=√(-4-(-4))+(0-3)2

cd=√(-4+4)+(-3)2

cd=√(0)+9

cd=√9

cd=3

da=√(x2-x1)2+(y2_y1)2

da=√(4-(-4))2+(0-0)2

da=√(8)2+0

da=√16

da=4

Hear ab=cd;bc=da

ac=√(x2-x1)2+(y2_y1)2

ac=√(-4-4)2+(3-0)2

ac=√(-8)2+(3)2

ac=√16+9

ac=√25

ac=5

bd=√(x2-x1)2+(Y2_y1)2

bd=√(-4-4)2+(0-3)2

bd=√(-8)2+(-3)2

bd=√16+9

bd=√25

bd=5

therefore ac=bd

therefore it is a rectangle

opposite sides are equal and diagnols are equal