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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.
What else can I help you with?
How do you find the area of a parallelogram?
For a parallelogram that is NOT a rectangle or square (i.e. a rhombus or rhomboid), multiply the base times the height. Draw a line through the parallelogram so that it is a large rectangle in the middle, and two small triangles to each side.Now you can see that the area of the parallelogram is the same as a rectangle of the same height and width. You must use the "height" (distance between top and bottom), not the length of the slanted sides.Area = base times height. (A=bh)Area = base*heightBase x height
What different shapes have 2 lines of symmetry?
The only known shapes with two lines of symmetry are rhombus and rectangles. These shapes are found by the test of line of symmetry of certain shapes.Sketch a rectangle, which has two pair of congruent and parallel lines and all right angles. Indicate the lines of symmetry. They should pass through each opposite midpoint of the segments of the rectangles.Sketch a rhombus, the shape that has all congruent sides, but have two pairs of congruent angles, which are different from another. Indicate the lines of symmetry. They should pass through both opposite vertices of the rhombus.
What do diagnal mean?
Diagonal is a straight line through a figure from one corner to another corner, for example, the diagonal divided the square into two triangles.
How many line of symmetry does a rhombus have?
A rhombus has two lines of symmetry, joining its opposite corners.Two, one through each of it's diagonals
What font has a diagonal stroke through the zero?
Consolas available in Microsoft Windows and Microsoft Office.
What is the parallelogram law of vectors?
The parallelogram law of vectors states that if two vectors are represented by the sides of a parallelogram, then the diagonal of the parallelogram passing through the point of intersection of the two vectors represents the resultant vector. This means that the sum of the two vectors is equivalent to the diagonal vector.
How rhombus has order two rotational symmetry?
When a rhombus is rotated through 180 degrees, the bottom left vertex and the top right vertex will change places as will the other two vertices.
How many lines of symmetry does a paraelleogram have?
A parallelogram need have no lines of symmetry.
How many lines symmetry does a parrallelagram have?
First of all to correct your spelling. It is 'parallelogram'. A parallelogram does NOT have any lines of symmetry, unless it is a rectangular paralleligram. Where upon it has two lines of symmetry, viz/ a vertical line through the centre and an horizontal line through the centre.
Can you draw a regular pentagon with one diagonal through that pentagon at any two possible points?
A regular pentagon can always be drawn through any two given points with those two points as any two vertices of the pentagon. (Diagonals of a pentagon connect two vertices which are not next to each other.)
Find the diagonal of a square with sides measuring 6 units?
If the square has been plotted in a graph, you can go about finding the diagonal of it by measuring the midpoint. (1) Find the coordinates of the vertices of the square (2) Use the coordinates of two vertices that are across from each other. Plug them into the midpoint equation: (X1 + X2)/2 , (Y1 + Y2)/2, and use your answers as the coordinates of the midpoint (x,y) (3) Draw a straight line crossing through the midpoint from one opposite vertex to another. That is your diagonal.
What are the angles of rhombus the lengths of the diagonal of rhombus are 14m and 34m?
As the diagonals of a rhombus bisect the angles through which they pass and intersect at right angles, we now have 7 and 17 as the sides of the triangles. We have:tan(x) = 7/17x = arctan(7/17)The half angle is about 22.38° and the full angle = 44.76°.The angle of the second set of paired angles is therefore 180 - 44.76 = 135.24o
Proof of parallelogram law of forces?
The parallelogram law states that when two concurrent forces F1 &F2 acting on a body are represented by two adjacent sides of a parallelogram the diagonal passing through their point of concurrency represents the resultant force R in magnitude and direction
How do you find the area of a parallelogram?
For a parallelogram that is NOT a rectangle or square (i.e. a rhombus or rhomboid), multiply the base times the height. Draw a line through the parallelogram so that it is a large rectangle in the middle, and two small triangles to each side.Now you can see that the area of the parallelogram is the same as a rectangle of the same height and width. You must use the "height" (distance between top and bottom), not the length of the slanted sides.Area = base times height. (A=bh)Area = base*heightBase x height
Is there 2 diagonals in a triangle?
There are no diagonals in any triangle. This is because any line connecting two of the vertices would actually be one of the sides. A diagonal has to run through the middle of the figure...well, not the exact center but you know what I mean :)
What is the diagonal of 26.8 ft x 54 ft?
60.28 is the length of the diagonal, got through Pythagoras' Theorem.
Is a diagonal line through a rectangle equal to the vertical and horizontal sides?
No. The diagonal through a rectangle can be computed via the Pythagorean theorem: c2 = a2 + b2 where c is the diagonal length and a and b are the horizontal and vertical lengths of the rectangle.
