Which defines a circle?
2 answers:
Answer:
Circle is a plane region bounded by by a line that lies at a uniform distance from a fixed point.
Step-by-step explanation:
Circle is a plane figure which is formed by the locus of a point which is at a fixed distance from a fixed point called center and the periphery of the figure is called circumference. The distance between any point on the periphery and the center is called radius of the circle.
Diameter is twice the length of the radius and it is the largest line segment that can be drawn between any two points on the circumference.
Any line segment connecting any two points on the periphery of the circle is called a chord, diameter is the largest chord.
Any line passing through any two points on the circumference of a circle is called a secant.
Any line passing through any one point on the circumference of a circle is called a tangent.
You might be interested in
For this case we must follow the steps below:
step 1:
We place each of the given points on a coordinate axis
Step 2:
We join the AC points (represented by the orange line)
We join the BD points (represented by the blue line)
It is observed that the resulting figure after placing the 4 points on a coordinate axis, turns out to be a rhombus.
In addition, the blue and orange lines turn out to be perpendicular, that is, they have an angle of 90 degrees between them. This can be verified by finding the slopes of each of the two straight lines (blue and orange), which must be opposite reciprocal, that is, they comply:
In this case, the slope of the orange line is and that of the blue line is
Then , it is verified that they are perpendicular.
Thus, the conclusion is that ABCD is a rhombus and AC is perpendicular to BD.
Answer:
See attached image
Option D
