On your own paper, graph quadrilateral ABCD. In the box below, use the distance formula to find the lengths of all the sides. Give the most specific name for this polygon. (Be sure to show all your work!)
A (1,0)
B. (3,2)
C.(5,0)
D (3,-2)
2007-06-22 04:37:10 · 2 answers · asked by zerokun4 1 in Education & Reference ➔ Homework Help
Length of AB = √((3 - 1)^2 + (2 - 0)^2)
= √(4 + 4)
= √8 = 2√2
All sides are equal, all angles are 90 degrees.
It's a square.
2007-06-22 04:50:16 · answer #1 · answered by jsardi56 7 · 1⤊ 1⤋
each distance equals sqrt(2^2 + 2^2) = 2*sqrt(2).
based on what the problem requested, we know it is an equilateral quadrilateral, called a rhombus.
the problem did not ask to calculate slopes, but the slopes are +1 and -1 which are negative reciprocals of each other, so the sides are perpendicular, so the figure is a square.
2007-06-22 11:52:06 · answer #2 · answered by fcas80 7 · 1⤊ 0⤋