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Do the diagonals of a parallelogram bisect its opposite angles?
Not for every parallelogram. Only for a rhombus (diamond) or square will the diagonals bisect the opposite angles they connect, and diagonals are perpendicular. In rectangles, the diagonals do not bisect the angles and are notperpendicular, but they do bisect each other.
Every pair of supplementary angles includes one obtuse angle?
Every pair of supplementary angles includes one obtuse angle?
What 2D shape has 6 straight edges and 6 corners?
Every hexagon has.
How can you divide a hexagon into thirds?
Draw lines from every other angle that meet in the center.
Is every central angle acute?
Those acute angles all the central angles are acute.
Do the diagonals of a parallelogram bisect its opposite angles?
Not for every parallelogram. Only for a rhombus (diamond) or square will the diagonals bisect the opposite angles they connect, and diagonals are perpendicular. In rectangles, the diagonals do not bisect the angles and are notperpendicular, but they do bisect each other.
Does a parallelogram have diagonals bisect each other?
Yes every parallelogram has bisecting diagonals
What are the 2 charcteristic's of the rhombus?
There are many characteristics of a rhombus. Every rhombus is a parallelogram, so it has all the characteristics of one: opposite sides are parallel, adjacent angles are supplementary, and the diagonals bisect each other. Additionally, there are two other characteristics that apply to rhombuses: the opposite angles are congruent and the diagonals are perpendicular.
Do hexagons always have obtuse angles?
If the particular hexagon is a regular hexagon, then every interior angle is obtuse. However, not every hexagon is regular. Any figure with 6 sides is technically a hexagon, so the answer would be no.
How many right angles does a regular haxagon have?
0, every angle in a regular hexagon is 120 degrees
Show that if diagonals of a quadrilateral bisects each other then it is a rhombus?
This cannot be proven, because it is not generally true. If the diagonals of a quadrilateral bisect each other, then it is a parallelogram. And conversely, the diagonals of any parallelogram bisect each other. However not every parallelogram is a rhombus.However, if the diagonals are perpendicular bisectors, then we have a rhombus.Consider quadrilateral ABCD, with diagonals intersecting at X, whereAC and BD are perpendicular;AX=XC;BX=XD.Then angles AXB, BXC, CXD, DXA are all right angles and are congruent.By the ASA theorem, triangles AXB, BXC, CXD and DXA are all congruent.This means that AB=BC=CD=DA.Since the sides of the quadrilateral ABCD are congruent, it is a rhombus.
Does every hexagon have 6 obtuse angles true or false?
It's very difficult to answer a yes/no question with 'true' or 'false'.A regular hexagon has 6 obtuse interior angles.A hexagon that's not regular can have fewer than 6 .
Are diagonals of a trapezoid perpendicular?
Oh, dude, no way! Diagonals of a trapezoid are not necessarily perpendicular. It's like saying all cats are secretly plotting to take over the world - just because they're diagonal doesn't mean they're perpendicular, you know what I mean? So yeah, diagonals of a trapezoid can be any ol' angle they want, they don't have to be all right angles and stuff.
What is same about a cube and a cuboid?
They have 8 vertices, 12 edges and 6 faces. All edges meet at right angles. All faces meet at right angles. Every face is a rectangle (a square is a rectangle). The three vertex-to-opposite-vertex diagonals meet at a point which is the centre of gravity. This point bisects the diagonals.
How many diagonals are in a regular hexagon Why?
There are 9 diagonals in every hexagon.To see why, select any one of the 6 vertices. There are 5 other vertices to which it can be joined. But the lines joining it to the two adjacent vertices (one on each side) are not diagonals but sides of the hexagon. So, from each vertex, you get 3 diagonals.The first vertex can be selected in 6 ways so it would seem that you have 6*3 = 18 diagonals. However, you will then be counting each diagonal twice: once from each end. So the correct answer is 18/2 = 9.In general, a polygon with n sides has n*(n-3)/2 diagonals. Also, whether or not it is regular is totally irrelevant.
How many perpendicular sides does a hexagon have?
Hexagons come in many different shapes and sizes. As long as the figure has 6 straight edges and 6 angles, (with closed figure, of course) it's a hexagon. A regular hexagon though, has no perpendicular sides.A regular 6 sided hexagon has no perpendicular lines but it does have 3 pairs of parallel lines.
What are the measures of each exterior angle of a regular hexagon?
Since there are six sides to a regular hexagon and every side is equal in measure to find the measure of each side you would divide 720 by 6120 degreesTo properly explain why you divide 720 by 6:The sum of the measures of the interior angles of a triangle is 180 degrees. Since you can draw 4 triangles in a hexagon, the total of the angles is 4 * 180, or 720. Divide that by the number of sides in a hexagon and you get the interior angle (120 degrees).
