Assertion: polygon's angle | /r/HasProperty | equal
Facets:
value: in measure
type: OTHER
value: in measurement
type: OTHER
value: to 900
type: OTHER
value: in this type of triangle
type: LOCATION
value: in a convex polygon
type: LOCATION
value: to 120°
type: OTHER
value: to 180
type: OTHER
value: to 180 degrees
type: OTHER
value: " only
type: OTHER
value: for regular pentagons
type: OTHER
value: to 108
type: OTHER
Source sentences:
text: When all angles are equal and all sides are equal it is regular, otherwise it is irregular
text: A regular polygon is one that has equal sides and equal interior angles.
text: A polygon is regular when all angles are equal and all sides are equal (otherwise it is "irregular").
text: It is important to remember that all the internal angles of a regular polygon are equal.
text: In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
text: All edges and internal angles are equal.
text: (A polygon is "regular" only when all angles are equal and all sides are equal, otherwise it is irregular.)
text: IF, and that is a big if, the polygon were regular, then all its angles would be equal and each interior angle = 1080/8 = 135 degrees.
text: In Euclidean geometry, an equiangular polygon is a polygon whose vertex angles are equal.
text: The polygon could be regular (all angles are equal and all sides are equal) or irregular
text: If, in a five-sided polygon, all sides are equal and all angles also are equal, then it is called a regular pentagon.
text: For regular pentagons, all internal angles are equal to 108 and all external angles equal 72 degrees.
text: In a convex polygon, all interior angles are less than or equal to 180 degrees, while in a strictly convex polygon all interior angles are strictly less than 180 degrees.
text: In Euclidean geometry, an equiangular polygon is a polygon whose vertex angles are equal.
text: Each angle of a regular polygon is equal to 180 ( n – 2 )
text: Also opposite sides are parallel and opposite angles are equal.
text: Also opposite angles are equal (angles "A" are the same, and angles "B" are the same).
text: A tangential polygon (one that has an incircle tangent to all its sides) is equilateral if and only if the alternate angles are equal (that is, angles 1, 3, 5, ... are equal and angles 2, 4, ... are equal).
text: The angles made by each pair of arcs at the corners of a Reuleaux triangle are all equal to 120°.
text: When all angles are equal and all sides are equal it is regular, otherwise it is irregular
text: An equilateral triangle has the same pattern on all 3 angles, an isosceles triangle has the same pattern on just 2 angles, and a scalene triangle has different patterns on all angles since no angles are equal.
text: CDE} (alternate interior angles are equal in measure)
text: DCE} (alternate interior angles are equal in measure).
text: The two angles are equal.
text: Since the polygon is regular, all sides and angles are equal, so each turn at each vertex is the same, and of size #360°/15 =
text: For a regular polygon with #n# sides, the exterior angle of any side is equal to
text: All four angles of a square are equal.
text: Equivalent conditions are that opposite sides are of equal length; that opposite angles are equal; or that the diagonals bisect each other.
text: This implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure.
text: SAS (Side-Angle-Side): If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent.
text: (Side-Angle-Side): If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent.
text: The angles that are opposite the equal sides are also equal.
text: In this type of triangle, the angles are also equal, so it can also be called an equiangular triangle.
text: Therefore, the number of sides of a shape the sum of whose internal angles are equal to 900 is equal to (n - 2) x 180 = 900, therefore, n = (900 / 180) + 2 = 7.