Making Rectangle when Diagonal is given

Transcript

Making Rectangle when Diagonal is givenA rectangle can be defined/constructed if: The diagonals are of equal length. The diagonals bisect each other (intersect at their midpoints). This method is used by carpenters in Europe and farmers in Mozambique to ensure their structures are perfectly rectangular. They used to follow these steps Step 1: Starts with two equal wooden strips. Step 2: Connects them at their exact centers (midpoints). Step 3: Allows you to rotate the strips to see how the four corners always form a rectangle, regardless of the angle Step 1 – Two equal wooden strips"Now we know how the wooden strips have to be put together to form the vertices of a rectangle! They should be equal and connected at their midpoints. This method is actually used in practice to make rectangles. Carpenters in Europe use this method to get a rectangular frame. It is also known that farmers in Mozambique, a country in Africa, use this method while constructing houses to get the base of the house in a rectangular shape." Start with two strips Ensure they are exactly the same length (L). Connect themStep 2 – Connect at mid-points"Now we know how the wooden strips have to be put together to form the vertices of a rectangle! They should be equal and connected at their midpoints. This method is actually used in practice to make rectangles. Carpenters in Europe use this method to get a rectangular frame. It is also known that farmers in Mozambique, a country in Africa, use this method while constructing houses to get the base of the house in a rectangular shape." Find the center Connect them exactly at their midpoints. Form the FrameStep 3 – Connect at mid-pointsFor Angle 45° at middle "Now we know how the wooden strips have to be put together to form the vertices of a rectangle! They should be equal and connected at their midpoints. This method is actually used in practice to make rectangles. Carpenters in Europe use this method to get a rectangular frame. It is also known that farmers in Mozambique, a country in Africa, use this method while constructing houses to get the base of the house in a rectangular shape." Adjust Angle Animate Frame Notice that the blue frame remains a rectangle regardless of how you rotate the strips.For Angle 20° at middle "Now we know how the wooden strips have to be put together to form the vertices of a rectangle! They should be equal and connected at their midpoints. This method is actually used in practice to make rectangles. Carpenters in Europe use this method to get a rectangular frame. It is also known that farmers in Mozambique, a country in Africa, use this method while constructing houses to get the base of the house in a rectangular shape." Adjust Angle Animate Frame Notice that the blue frame remains a rectangle regardless of how you rotate the strips.For Angle 140° at middle "Now we know how the wooden strips have to be put together to form the vertices of a rectangle! They should be equal and connected at their midpoints. This method is actually used in practice to make rectangles. Carpenters in Europe use this method to get a rectangular frame. It is also known that farmers in Mozambique, a country in Africa, use this method while constructing houses to get the base of the house in a rectangular shape." Adjust Angle Animate Frame Notice that the blue frame remains a rectangle regardless of how you rotate the strips.