A square rotated about its center by 360º maps onto itself at different angles of rotation. You can reflect a square onto itself
across different lines of reflection.
2 answers:
Answer with explanation:
When a Square is rotated through a complete revolution of 360°, each time by an angle of 90°, 4 times it looks congruent to it's original image.So
Rotational symmetry of Square =4
Now, coming to Line of reflection
The Meaning of line of reflection is that, the line through which square is divided into two equal parts so that one half appear mirror image of another half.
There are four line of reflection of Square
⇒⇒Two Diagonals and two lines through mid point of side of Square.
So,You can reflect a square onto itself across different lines of reflection through 4 ways.
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Answer:
The equation of circle is +
= 18
Step-by-step explanation:
Given the endpoints of the diameter of a circle: (-2,-3) and (4,-1)
We know that the equation of circle is
+
=
where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.
To find (h,k): the center is midpoint of diameter
Midpoint of diameter with end points (x1,y1) and (x2,y2) is given by
( ,
)
( ,
)
(1,2)
Hence (h,k) is (1,2)
Substituting values of (h.k) and (x.y) as (1,2) and (4,-1) respectively in equation of circle, we get
+
=
= 18
Now substituting values of (h,k) and in equation of circle, we get
+
= 18
Hence the equation of circle is +
= 18