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Is all squares can be cut in half to make 2 congruent triangles a generalization?
Wiki User
∙ 13y ago
no its an emphatic statement
all squares can be cut in half to make 2 congruent isosceles right triangles is perhaps as general a statement as is possible
Wiki User
∙ 13y ago
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What do odd triangles have to do with squares and cubes?
Well if you half any quadrilateral it comes up with a triangle and a square is a quadrilateral.
Dividing a rectangle in half diagonally always produces two equal triangles?
Yes, two equal right-angle triangles.
How can you find the area of a rhombus using diagonals?
The area of a rhombus is half the product of the diagonals. A = 1/2bc. The diagonals (of length b and c) intersect at right angles and form two congruent triangles either side of one chosen diagonal. The area of one such triangle is 1/2b x 1/2c (area of a triangle = 1/2 base x height). The area of both triangles and therefore the area of the rhombus is 2(1/2b x 1/2c) = 1/2bc.
How many lines of symmetry do squares have?
The square has four lines of symmetry. The rectangle has only two, as it can be folded in half horizontally or vertically: students should be encouraged to try to fold the rectangle in half diagonally to see why this does not work.
What are all of the characteristics of a parallelogram?
Parallelograms: 1.)opposite side of a parallelogram are parallel and you can prove that by finding the slope for both lines. 2.) opposite sides of a parallelogram are congruent 3.) diagonals bisect each other 4.)opposite angles are congruent 5.) consecutive angles are supp. *Remember that alternate interior angles are congruent. To break it down in a better understanding way. 1.)opposite side of a parallelogram are parallel and you can prove that by finding the slope for both lines. If the shape is a parallelogram then you can find the slope of its sides. if they are parallel to each other then it is a parallelogram. 2.) opposite sides of a parallelogram are congruent top and bottom sides are congruent. right and left sides are congruent. 3.) diagonals bisect each other When you draw a straight line from the top right corner to the bottom left corner and from the top left corner to the bottom right corner, the bisect each other or in better terms, the lines cut each other equaly in half. 4.)opposite angles are congruent just as the sides. 5.) consecutive angles are supp. These angels produce a line. this line like all lines will add up to 180 degrees. *Remember that alternate interior angles are congruent.
What 2 triangles are formed when split a parallelogram in half?
Two congruent triangles.
Could a triangle and a square be congruent?
yes because if u split the square in half it is two triangles
What do odd triangles have to do with squares and cubes?
Well if you half any quadrilateral it comes up with a triangle and a square is a quadrilateral.
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.
What are two names for a trapiziod?
A trapeziod can have two names:a triangle and a trapeziod.A triangle because if you cut the trapeziod in half by its edges at a congruent angle,it will be two scalene triangles.
How do you solve area for symmetric figures?
It depends on the symmetry. Work out the area of half the shape by filling the shape with squares and triangles of known areas and times the answer by two.
What is the relationship between right triangles and the areas of squares?
A right angle triangle with two side lengths that match that of an equivalent square will have exactly half the area of the square.
Are a square and a triangle congruent?
yes they are congruent because a triangle is half of a square
Does a diagonal of a parralelogram divide a parallelogram into two congruent triangles?
Yes, the diagonal splits the parallelogram into two equal triangle aka congruent the sides will stay the same, the two angles being divided are going to be split in half, one on each side, so its the same
If you want to divide triangles into parallelogram how many triangles can you cut from parallelogram?
You can get 2 triangles by cutting a parallelogram in half
A checkerboard has how your red squares?
Half of the squares are red. Since there are 64 squares total, 32 squares of a checkerboard are red.
Why do mathematicians chose to measure area in squares instead of in rectangles or triangles or circles?
Because they (IMO) have the simplest area to find, to just square side. Triangles are half of a square Rectangles are uneven. Circles are rounded, and hard to find the area of. Plus, a square has 2 equal dimensions, so think 2D.
