Give definition for each of the following terms are there other terms that need to define first ? What are they and you define them ?
1. Perpendicular lines
2. Radius
3.Square
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Answer:
- perpendicular lines are those that make a angle of 90°
- radius is half of diameter that means it is the distance from the center to the boundary
- square is a figure having four boundaries each making 90° angle and has all sides equal
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Two lines are perpendicular in a plane if the angle between the two lines is 90°.
The perpendicular lines are coplanar, so plane must be mentioned before defining perpendicular lines.
a circle is the collection of those points in a plane which are at constant distance from a fixed point C.
- See attached picture of circle.
Here, constant distance is called radius.
So, plane must be mentioned in defining the radius.
A square is rectangle having all equal sides.
- See attached picture of square.
Let is a quadrilateral where AB = BC = CD = DA and ∠A = ∠B = ∠C = ∠D = 90°.
∴ Quadrilateral ABCD is a square and also a rectangle having consecutive sides AB and BC are of equal length.
So, in defining a square, rectangle must be mentioned.
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