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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).
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.
What is the formula for area of a half circle but you don't have the radius?
If you have the diameter, then the formula for the area of a semi-circle is:(pi x (diameter/2)2)/2That is,Divide the diameter in two to find the radius (diameter/2)Square the radius (radius x radius)Multiply it by pi (3.1416)Divide the answer by two to find half the circle.Remember your units. The answer will be in square inches, or square centimeters or square somethings.
How many diagonals can be drawn to divide hexagon in half?
Just one diagonal will divide a hexagon into two halves
When you know the sum of lengths of diagonal of a square how to find each diagonal?
To find the length of each diagonal of a square, divide the sum of the diagonal lengths by 2. Since a square has two diagonals of equal length, this division will give you the length of each diagonal.
How many pairs of triangles are formed if a rectangle is divided into half and diagonals are drawn?
Probably 6 if not 4 if not 8 if not 10.WHO CARES
What is the area of diagonals of 14 feet and 10 feet?
If this is a rhombus then the area is half the product of the diagonals - 10 x 14 = 140. Half of 140 = 70, so the area is 70 square feet.
How do you divide a rectangle into 4 identical triangles?
Divide the rectangle in half, so you have two squares. Then cut each of these squares in half by drawing a straight line from the top left hand corner to the bottom right hand corner. Then you'll have four right angle triangles. * * * * * A rectangle, divided in half need not give a square. Try it with an A4 sheet of paper. A much simpler answer is to draw the two diagonals.
How do you draw the symmetry of a square?
Evenly draw a line to split the shape in half. In this case, we have a square, so we can cut in many places such as the two diagonals, vertically, and horizontally.
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).
How many diagonals can be drawn from one vertex of a polygon of 50 sides?
47 sides. Take a vertex of an n-sided polygon. There are n-1 other vertices. It is already joined to its 2 neighbours, leaving n-3 other vertices not connected to it. Thus n-3 diagonals can be drawn in from each vertex. For n=50, n-3 = 50-3 = 47 diagonals can be drawn from each vertex. The total number of diagonals in an n-sided polygon would imply n-3 diagonals from each of the n vertices giving n(n-3). However, the diagonal from vertex A to C would be counted twice, once for vertex A and again for vertex C, thus there are half this number of diagonals, namely: number of diagonals in an n-sided polygon = n(n-3)/2.
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 diagonals are there in a hundred corner shape?
Each diagonal runs from one corner of the shape to an opposite corner, so each diagonal requires 2 corners. So in a hundred cornered shape there will be half of a hundred diagonals, which is 50. Just divide the number of corners by 2. So for a hexagon, which has 6 sides and 6 corners, there are 3 diagonals.
How many square yards of carpet do I need to cover 1300 square feet?
Answer: 144 and a half (divide by 9.)But that assumes that there is no waste.
What is a line symmetry in math?
its when you can divide a shape in half and both parts are identicalfor example.you can divide a square in more than four ways.
