All four sided shapes in 2-d have 360 degrees when you sum all the internal angles
The sum of internal angles of a shape is given by the equation 180(n-2) where n is the number of sides. For a pentagon, which has 5 sides, this would be 180x3 = 540. The sum of external angles of a shape is given by (180-(x/n))n where n is the number of sides and x is the sum of internal angles. For a pentagon, this would be 5x(180-540/5) = 360
True. When there are only two answers, so guessing should give you a 50% or 1 out of 2 chance of getting the right answer.
2 edges (curved), 0 corners, and 3 faces (one of which is not flat) ------------------------------------------------------------------------------------------------- A cylinder has 0 vertices (corners), 0 edges, and 2 faces. If you need convincing, my proof is Euler's formula, which which relates all three and is true for all solids in Euclidean 3-space: V + F - E = 2 0 + 2 - 0 = 2 You cannot consider the curved boundaries when counting faces or edges.
It's not because of a natural law or something; it's inherent in the structure of space, and the shapes of triangles, hexagons, and squares. Your question is like asking, "why does 2 + 2 = 4?" There's not a reason, they just do because that's how things are.Also, they aren't the only shapes that tile, just the only regular polygons that tile.>>M.T.
An irregular 5 sided pentagon can be constructed including two right angles.
a right angled triangle.
Square
That's three different shapes: a rectangle, a rhombus and a trapezoid respectively.
Quadrilaterals are plane (2-D) shapes. They are bounded by four straight sides. They have four vertices and the sum of the internal angles at these vertices add to 360 degrees.
4 sides 4 right angles 2 diagonals 4 vertices
Congruent shapes.
a square and a rectangle
Both have 2 pairs of opposite parallel sidesBoth have 4 interior right angles
A square or rectangle are the only regular polygons, but many other shapes have two right angles and two parallel lines.
The simplest shape that can have 2 right angles is a rectangle or a square. You can make an unlimited number of more complex shapes, though. A house shape is a pentagon with 2 right angles--you could even make it with 3 right angles.
2 solid shapes together have 8 faces, 12 edges 8 vertices