Given:
Quadrilateral PQRS
P(o, o), Q(a+c, o), R(2a+c, b), S(a, b)
Find:
whether the diagonals are perpendicular using coordinate geometry
Solution:
If the diagonals are perpendicular, their slopes multiply to give -1.
The slope of PR is
(b-o)/(2a+c-o)
The slope of QS is
(b-o)/(a-(a+c)) = (b-o)/(-c)
The product of these slopes is
(b-o)·(b-o)/((2a+c-o)(-c))
This value will not be -1 except for very specific values of a, b, c, and o.
It cannot be concluded that the diagonals of PQRS are perpendicular based on the given coordinates.
Answer:
3888
Step-by-step explanation:
Let Caitlyn be C and Ashley be A.
By the problem,
C=72+A
C=3A
So, 2A=72
therefore Ashley has 36 dolls
and Caitlyn has 108 dolls
and the photo of the two sisters' dolls is 3888
Answer:
-2/5
Step-by-step explanation:
Answer:
Option A, Trapezoid
Step-by-step explanation:
<em>Since there is two parallel sides and two nonparallel, that means it is a trapezoid.</em>
Answer: Option A, Trapezoid
30 notebooks, 300 notebooks divided by 10 = 30