Question

the vertices of abcd are a(0,-2), b(6,4) c(0,10), d(-6,4)

a. show that the opposite sides are parallel
b.show that the consecutive sides are perpendicular
c.show that all sides are congruent

Answer 1

for a you could do vector crossproduct, dos product for b and absolute value for c

Answer 2

dot* product for b

Answer 3

ab(dot)bc and ab(dot)ad should be 0, for b

Answer 4

what is dot

Answer 5

???

Answer 6

ok, without any vectors =), for parallel sides, the slope must be the same, for perpenticular ithe slopes are m and -1/m

Answer 7

so the slope for the side ab, is (-2-4)/(0-6), it must equal the one for cd

Answer 8

in that case both equal 1

Answer 9

the slopes of the other sides must be- 1/(1) also -1

Answer 10

can you do that by a and b and c bc im lost please and thank you