Answer:
Option B is correct
the degree of rotation is,
Step-by-step explanation:
A rotation matrix is a matrix that is used to perform a rotation in Euclidean space.
To find the degree of rotation using a standard rotation matrix i.e,
Given the matrix:
Now, equate the given matrix with standard matrix we have;
=
On comparing we get;
and
As,we know:
we get;
and
we get;
Therefore, the degree of rotation is,
Given:
Vertices of a square are A(-4,6), B(5,6) C(4,-2), and D(-5,-2).
To find:
The intersection of the diagonals of square ABCD.
Solution:
We know that diagonals of a square always bisect each other. It means intersection of the diagonals of square is the midpoint of diagonals.
In the square ABCD, AC and BD are two diagonals. So, intersection of the diagonals is the midpoint of both AC and BD.
We can find midpoint of either AC or BD because both will result the same.
Midpoint of A(-4,6) and C(4,-2) is
Therefore, the intersection of the diagonals of square ABCD is (0,2).
