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Is kites each diagonal divides the given quadrilateral into two congruent triangles?
Yes
How many congruent triangles make a parallelogram?
Answer: 2 Explanation: A parallelogram is a quadrilateral which has both pairs of the opposite sides parallel. Congruent triangles are triangles that have exactly the same three sides and exactly the same three angles. So, in a parallelogram, each diagonal divides it in 2 congruent triangles. Source: Algebra.com
How do you make four triangles out of a quadrilateral by a line through it?
You cannot make four triangles our of a quadrilateral by ONE line through it. One line can give you at most two triangles. Two lines, each running from one vertex of the quadrilateral to the opposite vertex, will give 4 triangles.
How do you divide a square into 2 triangles and 2 trapezoids?
By cutting through its diagonal and cutting off each corner parallel to its diagonal which will leave you with 2 triangles and 2 trapezoids.
Does A diagonal of parallelogram intersects all four sides?
Yes: The intersection is at one end of each side. This is true for a diagonal of any quadrilateral.
Is kites each diagonal divides the given quadrilateral into two congruent triangles?
Yes
How many diagonals are in a quadrilateral?
A diagonal line of a polygon is a line that joins any two vertices not already joined by a side.A polygon with n sides has n(n-3)/2 diagonals→ a quadrilateral with 4 sides has 4(4-3)/2 = 4 × 1 ÷ 2 = 2 diagonalQuadrilaterals include:Squares, rectangles, rhombuses, parallelograms, kites, trapezia (trapezoids).The diagonals of a quadrilateral divide the quadrilateral into 4 triangles. depending upon the quadrilateral some, or all of the triangles may be congruent.The properties of the diagonals of each quadrilateral are:square: equal and bisect each other at 90°; the triangles formed are all congruentrectangle: equal and bisect each other but not at 90°; the triangles formed are all congruentrhombus: not equal but bisect each other at 90°; the triangles formed are all congruentparallelogram: not equal but do bisect each other, but not at 90°; the triangles formed are congruent in (opposite) pairskite: perpendicular and the longer diagonal bisects the shorter diagonal; the triangles formed are congruent in (adjacent) pairstrapezium (trapezoid): only of equal length and bisect each other if it is an isosceles trapezium (trapezoid) and the triangles formed are congruent in (opposite) pairs; otherwise they are of differing lengths and just intersect each others and the triangles formed are non-congruent.
How many congruent triangles make a parallelogram?
Answer: 2 Explanation: A parallelogram is a quadrilateral which has both pairs of the opposite sides parallel. Congruent triangles are triangles that have exactly the same three sides and exactly the same three angles. So, in a parallelogram, each diagonal divides it in 2 congruent triangles. Source: Algebra.com
The sum of interior angles of a square is?
360 degrees. Same for any other rectangle, rhombus, parallelogram, or convex quadrilateral. The reason is that any quadrilateral can be divided into two triangles by drawing a diagonal and the sum of the angles of each triangle is 180 degrees.
If one pair of opposite angles and one pair of opposite sites of a quadrilateral is congruent then the quadrilateral is a parallelogram. How can it be proven?
draw a diagonal through opposite corners of the quadrilateral. This makes two triangles. Prove the triangles are congruent using SSA (side side angle) congruence. Then show that the other two sides of the quadrilater must be congruent to each other, so it is a parallelogram.
How do you make four triangles out of a quadrilateral by a line through it?
You cannot make four triangles our of a quadrilateral by ONE line through it. One line can give you at most two triangles. Two lines, each running from one vertex of the quadrilateral to the opposite vertex, will give 4 triangles.
How do you divide a square into 2 triangles and 2 trapezoids?
By cutting through its diagonal and cutting off each corner parallel to its diagonal which will leave you with 2 triangles and 2 trapezoids.
Use six toothpicks to construct four congruent triangles?
Arrange the toothpicks to form a square with a diagonal crossing through the center. Then, create triangles by connecting each corner of the square to the center of the diagonal. Each of the four resulting triangles will be congruent to each other.
Find out What is quadrilateral whose diagonal or perpendicular to each other but unequal?
It is a rhombus or a kite
Does A diagonal of parallelogram intersects all four sides?
Yes: The intersection is at one end of each side. This is true for a diagonal of any quadrilateral.
Why do you think that diagonals bisect each other for proving that a quadrilateral is a parallelogram?
The diagonals divide the quadrilateral into four sections. You can then use the bisection to prove that opposite triangles are congruent (SAS). That can then enable you to show that the alternate angles at the ends of the diagonal are equal and that shows one pair of sides is parallel. Repeat the process with the other pair of triangles to show that the second pair of sides is parallel. A quadrilateral with two pairs of parallel lines is a parallelogram.
What is the area of a qudrilateral that has consecutive sides of 3cm 4cm 7.4cm and 4.4cm with a 90 degree angle between sides 3 and 4?
By using Pythagoras' theorem the quadrilateral will have a diagonal of 5 cm thus dividing the quadrilateral into two triangles and then by finding the area of each triangle the area of the quadrilateral works out as 16.69 square cm rounded to two decimal places.
