ramirezceleste ramirezceleste
  • 14-10-2016
  • Mathematics
contestada

Verify that quadrilateral BCDE is a rhombus with vertices B(-5, 1), C(0, 6), D(5, 1) and E (0, -4) by showing that all four sides are equal.

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 14-10-2016
find the distance between each

between points (x1,y1) and (x2,y2)
D=[tex] \sqrt{(x2-x1)^2+(y2-y1)^2} [/tex]



find and verify that
BC=CD=DE=EB

so
BC=[tex] \sqrt{(0-(-5))^2+(6-1)^2} [/tex]=5√2
CD=[tex] \sqrt{(5-0)^2+(1-6)^2} [/tex]=5√2
DE=[tex] \sqrt{(-4-1)^2+(0-5)^2} [/tex]=5√2
EB=[tex] \sqrt{(-5-0)^2+(1-(-4))^2} [/tex]=5√2

true
Answer Link

Otras preguntas

Make predictions about how changing the mass or speed of an object will change the object's kinetic energy. Help, please science btw
i just need to know what to do and what to write
(X+6)(x +9) help plsss
A student pulls a block over a rough surface with a constant force fp that is at an angle θ above the horizontal, as shown above. If fp remains constant but the
I feel so not smart please help me
a metamorphic rock can also be thought of as a rock that changes. what causes the rock to change?
What reasons does Justice Black give for upholding the order that led to the internment of Japanese citizens?
When solving the equation -2(x - 3) - 5= -3x+5 Randy wrote his first step as -2(x - 3) - 3x + 10 Which property justifies Randy's first step? A)Commutative Prop
Which of the following expressions is not correctly written in scientific notation?
Larry's summer job is mowing lawns for a landscaper. His pay is $7.50/h. Larry also makes $1.25/h for any time over 40 hours that he works in one week. He worke