Hey Guys!!! Would you like to know deeply about the properties of geometrical figures? If our guess is correct, then you are in the right place. This is the place where you can get the solutions for all your doubts. So, refer to our page to practice the problems on the distance and section formulae. Let us discuss in detail Distance Properties in some Geometrical Figures here.
Distance Properties in Some Geometrical Figures
1. A triangle is said to be an equilateral triangle if and only if AB = BC = CA.
2. A triangle is said to be an isosceles triangle if AB = AC or AB = BC or AC = BC.
3. A triangle is said to be a right-angled triangle if
AB = BC + CA or BC = CA + AB or AC = AB + BC
4. The distance from any point from the origin to the center is known as the radius of the circle.
5. A quadrilateral ABCD is said to be rhombus only if AB = BC = CD = DA
6. A quadrilateral ABCD is said to be a parallelogram if the opposite sides are equal and also if AB = CD and AD = BC.
7. A quadrilateral ABCD is a parallelogram but not a rectangle when the opposite sides are equal and diagonals are not equal.
8. A quadrilateral ABCD is a rectangle if the opposite sides and diagonals of the rectangles are equal.
9. A quadrilateral ABCD is a square only if the opposite sides and diagonals of the rectangles are equal. AB = BC= CD= DA.
10. A quadrilateral is a rhombus but not square if its sides are equal but the diagonals are not equal.
FAQs on Distance Properties of Geometrical Figures
1. Why is the distance formula important?
The distance formula is a formula used to find the distance between two distinct points on a plane.
2. Why are geometric constructions important?
Geometric constructions help us to draw lines, angles, and shapes with simple tools.
3. How useful are geometric figures in solving problems related to design?
Architects use geometry to study and divide space as well as draft detailed building plans.