3) State the properties of diagonals of square.
Answers
Answer:
three property of diagonal square
Answer:
A square has two diagonals. Each one is a line segment drawn between the opposite vertices (corners) of the square. The diagonals have the following properties: The two diagonals are congruent (same length). In the figure above, click 'show both diagonals', then drag the orange dot at any vertex of the square and convince yourself this is so.
Explanation:
The length of the diagonals of the square is equal to s√2, where s is the side of the square. As we know, the length of the diagonals is equal to each other. Therefore, by Pythagoras theorem, we can say, diagonal is the hypotenuse and the two sides of the triangle formed by diagonal of the square, are perpendicular and base.
Each diagonal of a square is a diameter of its circumcircle. Additionally, for a square one can show that the diagonals are perpendicular bisectors. Property 9. The diagonals of a square are perpendicular bisectors. The four triangles bounded by the perimeter of the square and the diagonals are congruent by SSS.