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

A serious play that may have a sad ending is called: A.) a comedy B.) a melodrama C.) a satire D.) a drama
Tom Harris, a young father, is twenty-four years old. He wishes to purchase $7,000 of a ten-year term insurance. What will be his annual premium? 28.14 28.42 28
5^-3 expanded and simplify
Which circuit prevents the flow of current?
Explain why 30 / x equals 6 is the same as 30 - x - x - x - x - x - x = 0. what is the value of x in this example?
Subtract. (4x^2+8x−2)−(2x^2−4x+3) Enter answer, in standard form
Aryan invasions, seasonal floods, earthquakes, rivers changing courses, and a decline in trade were all possible factors that led to the fall of what civilizati
Could the middle east become global?
In a(n) _____ like the kidney, several kinds of tissues work together. A. cell B. organ system C. organ D. tissue
scientists trying to determine evolutionary relationships among organisms sometimes search for clues by examining how each organism develops from a fertilized e