Distance Properties in some Geometrical Figures

We will discuss here about the distance properties in some geometrical figures.

1. A triangle ABC is an isosceles triangle if AB = AC or AB = BC or AC = BC.


2. A triangle ABC is an equilateral triangle if AB = BC = CA.


3. A triangle ABC is a right-angled triangle if the sum of the squares of two sides is equal to the square of the third side, i.e.,

AB\(^{2}\) = BC\(^{2}\) + CA\(^{2}\) or BC\(^{2}\) = CA\(^{2}\) + AB\(^{2}\) or AC\(^{2}\) = AB\(^{2}\) + BC\(^{2}\)


4. The distance of any point on a circle from the centre = radius of the circle.



Properties of various types of quadrilaterals

5. A quadrilateral is a parallelogram if its opposite sides are equal. A quadrilateral ABCD is a parallelogram if AB = CD and AD = BC.


6. A quadrilateral is a parallelogram but not a rectangle if its opposite sides are equal and the diagonals are not equal.if its opposite sides are equal.


7. A quadrilateral is a rectangle if its opposite sides are equal and the diagonals are equal. A quadrilateral ABCD is a rectangle if ABCD is a parallelogram and diagonal AC = Diagonal BD.


8. A quadrilateral ABCD is a rhombus if AB = BC = CD = DA.


9. A quadrilateral is a rhombus but not a square if all its sides are equal and the diagonals are not equal.


10. A quadrilateral is a square if all its sides are equal and the diagonals are equal. A quadrilateral ABCD is a square if ABCD is a rhombus and diagonal AC = Diagonal BD.


 Distance and Section Formulae







10th Grade Math

From Distance Properties in some Geometrical Figures to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.