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.
The area of the metal sheet required to make this square-shaped traffic sign is x² + 2x + 1. Then the correct option is A.
<h3>What is a square?</h3>
It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a square, opposite sides are parallel and all sides are equal and each angle is 90 degrees. And its diagonals are also equal and intersect at mid-point at right-angle.
A square-shaped traffic sign is shown with the length of one side labeled as x plus 1.
Side of square = x + 1
Then the area of the square will be
Area = (side of square)²
Area = (x + 1)²
Area = x² + 2x + 1
Thus, the area of the metal sheet required to make this square-shaped traffic sign is x² + 2x + 1. Then the correct option is A.
More about the square link is given below.
Square - brainly.com/question/13747846
Okay so at the bottom it says square both sides so you have to square (x+1). when you do that you're basically just doing (x+1)(x+1) and you just use the foil method and end up with x^2 + 2x + 1
Answer:
it dilated by two
Step-by-step explanation:
1f
2b
3A
4D
5E
I think this is the answer,I could be wrong though-