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What 2 triangles are formed when split a parallelogram in half?
Two congruent triangles.
The length and width of a rectangle are 8 inches and 4 inches respectively What would be the area of one of the triangles formed from drawing a diagonal in the rectangle?
A=l*w A=8*4 A=32 diagonal cuts the rectangle into two congruent triangles. 32/2 = 16
How many pairs of congruent triangles are formed by the diagonals of a rectangle?
4
What are four attributes of a rhombus?
1. Opposite angles congruent 2. All sides are congruent 3. The diagonals are perpendicular bisectors of each other 4. Diagonals bisect the angles NOTE: Four congruent right triangles are formed with the right angles It has all of the properties of a parallelogram and a kite
What is the formular for diagonals?
The diagonal of a rectangle can be found with the Pythagorean Theorem, since the diagonal is the hypotenuse of the right triangle formed by the sides of the figure. It is the square root of the sum of the squares of the two sides. Finding the diagonal of a parallelogram would require some knowledge of trig., e.g. the law of cosines, or something equivalent.
If a diagonal is drawn in a parallelogram then two congruent triangles are formed.?
Correct
Why drawing a diagonal on any parallelogram will always result in two congruent triangles?
Drawing a diagonal in a parallelogram divides it into two triangles that share the same base (the diagonal) and have equal heights, as the opposite sides of a parallelogram are equal in length and parallel. Additionally, each triangle has two sides that are equal to the lengths of the corresponding sides of the parallelogram. By the Side-Side-Side (SSS) congruence criterion, the two triangles formed by the diagonal are congruent. Thus, any diagonal in a parallelogram always results in two congruent triangles.
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
Can all parallelograms be split into to congruent triangles why?
Yes, all parallelograms can be split into two congruent triangles. This is achieved by drawing a diagonal line connecting two opposite vertices. This diagonal divides the parallelogram into two triangles that are congruent by the Side-Angle-Side (SAS) postulate, as they share a side (the diagonal), and the angles formed at the vertices are equal.
What 2 triangles are formed when split a parallelogram in half?
Two congruent triangles.
Why is drawing the diagonals of a parallelogram help full in proving many of the parallelograms properties?
It is helpful (not help full) because the two triangles formed by either diagonal are congruent.
How do you find the perimeter of a parallelogram using Pythagorean theorem?
you can't, because the Pythagorean theorem is for right triangles and the triangles formed by the diagonal of a parallelogram are not right triangles.
Are the triangles created when a square is divided by a diagonal isosceles?
Yes, since all the sides of a square are equal and the definition of an isosceles triangle is to have at least two congruent sides. The congruent triangles formed are 45-45-90 triangles, so the diagonal will be the longest side with the right angle formed where the two sides of the square meet.
Name the type of special quadrilateral that will appear when you join two congruent equilateral triangles?
There are two types of quadrilaterals that are formed when two congruent equilateral triangles are joined. These shapes are rhombus and parallelogram.
How many triangles are formed when any parallelogram and its diagonals are drawn?
how many triangles are formed when any parallelogram and it diagonals are drawn
How is the diagonal in parallelogram formed?
a squished rectangle
Prove that if the diagonal of a parallelogram does not bisect the angles through the vertices to which the diagonal is drawn the parallelogram is not a rhombus?
Suppose that the parallelogram is a rhombus (a parallelogram with equal sides). If we draw the diagonals, isosceles triangles are formed (where the median is also an angle bisector and perpendicular to the base). Since the diagonals of a parallelogram bisect each other, and the diagonals don't bisect the vertex angles where they are drawn, then the parallelogram is not a rhombus.
