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Prove that a rhombus has congruent diagonals?
Since the diagonals of a rhombus are perpendicular between them, then in one forth part of the rhombus they form a right triangle where hypotenuse is the side of the rhombus, the base and the height are one half part of its diagonals. Let's take a look at this right triangle.The base and the height lengths could be congruent if and only if the angles opposite to them have a measure of 45⁰, which is impossible to a rhombus because these angles have different measures as they are one half of the two adjacent angles of the rhombus (the diagonals of a rhombus bisect the vertex angles from where they are drawn), which also have different measures (their sum is 180⁰ ).Therefore, the diagonals of a rhombus are not congruent as their one half are not (the diagonals of a rhombus bisect each other).
Divide a square in half 4 different ways?
To divide a square in half four different ways, you can draw two diagonals intersecting at the center, creating four equal triangles. Another way is to draw a horizontal line passing through the center of the square, dividing it into two equal rectangles. You can also draw a vertical line through the center to create two more equal rectangles. Lastly, you can divide the square into four smaller squares by drawing two perpendicular lines through the center.
What different ways are there to divide a square in half?
You can divide the square from a point halfway between two of the corners to a similar point on the opposite side, to produce to rectangles. You can do this vertically or horizontally, but the result is the same. The second method is to divide the square from one corner to the corner directly opposite to it, in effect dividing the square into two triangles.
How long and how wide is one half acre?
An acre is 43,560 square feet. Half an acre is half that amount. Choose any number of feet for the length, then divide the square feet (for half an acre) by that number to get the width.
Why is a set square called a set square even though it is a triangle?
A set square is known as a set square and not triangle because when you divide 180 by 4, then you get 45. Now, if you construct a square with side: 45 degrees and then divide it in half, then you get the measurement 45-45-90.
