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Why is it that when you multiply each pair of numbers at opposite corners of any rectangle of a multiplication chart the products are equal?
In a multiplication chart, the value at each cell corresponds to the product of the numbers at the corresponding row and column headers. When you multiply the numbers at opposite corners of a rectangle, you're essentially calculating the products of the same two numbers but in different orders. This is due to the commutative property of multiplication, which states that (a \times b = b \times a). Therefore, the products remain equal regardless of the order in which the numbers are multiplied.
Why does it makes sense that the products of opposite corners of any rectangle in the multiplication table are equal?
Consider the rectangle in a multiplication table where the left side of the rectangle is in the column for p times table; the right side of the rectangle is in the column for q times table. Also suppose the top of the rectangle is in the row for the r times table and the bottom of the rectangle is in the row for the s times table.Schematically,----p------q----|-------|r---a-----b----|------|----|------|s--c-----dSuppose the numbers in the four corners of the rectangle are a, b, c and d.Thena = pr, b = qr, c = ps and d = qsSo the product of opposite corners aread = pr x qs = pqrsbc = qr x ps = pqrs
Does a rectangle have a diagonal?
Yes, it is the line connecting opposite corners.
Name the quadrilateral with opposite corners right angles?
Rectangle or a square.
What kind of polygon do you get if you cut off two opposite corners of a rectangle?
Irregular Pentagon
Why is it that when you multiply each pair of numbers at opposite corners of any rectangle of a multiplication chart the products are equal?
In a multiplication chart, the value at each cell corresponds to the product of the numbers at the corresponding row and column headers. When you multiply the numbers at opposite corners of a rectangle, you're essentially calculating the products of the same two numbers but in different orders. This is due to the commutative property of multiplication, which states that (a \times b = b \times a). Therefore, the products remain equal regardless of the order in which the numbers are multiplied.
Why does it makes sense that the products of opposite corners of any rectangle in the multiplication table are equal?
Consider the rectangle in a multiplication table where the left side of the rectangle is in the column for p times table; the right side of the rectangle is in the column for q times table. Also suppose the top of the rectangle is in the row for the r times table and the bottom of the rectangle is in the row for the s times table.Schematically,----p------q----|-------|r---a-----b----|------|----|------|s--c-----dSuppose the numbers in the four corners of the rectangle are a, b, c and d.Thena = pr, b = qr, c = ps and d = qsSo the product of opposite corners aread = pr x qs = pqrsbc = qr x ps = pqrs
Does a rectangle have a diagonal?
Yes, it is the line connecting opposite corners.
Name the quadrilateral with opposite corners right angles?
Rectangle or a square.
How many lines of diagonal symmetry does a rectangle have?
'2' . From opposite corners.
What kind of polygon do you get if you cut off two opposite corners of a rectangle?
Irregular Pentagon
How do you find the center of a rectangle?
Draw a straight line from opposite corners. Where the lines cross is the centre.
How many rectangle has corner?
Every rectangle must have corners otherwise it would not be a rectangle!Every rectangle must have corners otherwise it would not be a rectangle!Every rectangle must have corners otherwise it would not be a rectangle!Every rectangle must have corners otherwise it would not be a rectangle!
Does a rectangle have four diagonals?
No, a rectangle has only two diagonals. The diagonals of a rectangle are the line segments that connect opposite corners. Each diagonal bisects the rectangle into two congruent triangles, and they intersect at the rectangle's center.
How many corners does a rectangle have?
A rectangle is a quadrilateral therefore it has to have 4 corners.
How many corners in a rectangle?
There are 4 corners in a flat rectangle and 8 corners in a 3d rectangle(rectangular prism).Four.
How do you find the center of a room?
Assume the room to be square or rectangle. The intersection of two lines from opposite corners is your center.
