What are consecutive sides of a polygon?

Answer and Explanation: Consecutive sides are two sides of a polygon which share a common angle. We can see consecutive sides in any figure such as a triangle, rectangle,

Consecutive AnglesAngles in a polygon that share a segment as one of the sides that could be extended into a ray.

what are consecutive sides of a parallelogram? Opposite sides are congruent (AB = DC). Opposite angels are congruent (D = B). Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other.

People also ask, what are consecutive sides in a quadrilateral?

A quadrilateral is a polygon with four sides. to create a random quadrilateral! Sides, angles, and vertices that are next to each other in a polygon are called consecutive. (Note that consecutive sides intersect at a single point.)

What are congruent consecutive sides?

Since a square, a rhombus and a rectangle are also parallelograms, they are also excluded. In a kite, by definition a pair of its adjacent (or consecutive) sides are congruent to each other as well as the other pair of adjacent sides. So the condition is satisfied.

How many sides does a polygon have if the sum of its interior angles is 720?

6 sides

What does it mean to be congruent?

Congruent. Angles are congruent when they are the same size (in degrees or radians). Sides are congruent when they are the same length.

Are Consecutive angles supplementary?

The consecutive interior angles theorem states that when the two lines are parallel, then the consecutive interior angles are supplementary to each other. Supplementary means that the two angles add up to 180 degrees.

How do you find the number of sides in a polygon?

Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15. Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon.

What do you mean by a polygon?

Definition of a Polygon A polygon is any 2-dimensional shape formed with straight lines. Triangles, quadrilaterals, pentagons, and hexagons are all examples of polygons. The name tells you how many sides the shape has. For example, a triangle has three sides, and a quadrilateral has four sides.

How many sides does a regular polygon have if the interior angle is 165?

24 sides

Are vertical angles congruent?

When two lines intersect to make an X, angles on opposite sides of the X are called vertical angles. These angles are equal, and here’s the official theorem that tells you so. Vertical angles are congruent: If two angles are vertical angles, then they’re congruent (see the above figure).

What is the definition of consecutive sides?

Consecutive sides are two sides of a polygon which share a common angle. We can see consecutive sides in any figure such as a triangle, rectangle,

Are consecutive sides of a rectangle perpendicular?

If the slopes of two consecutive sides are opposite reciprocals then consecutive sides are perpendicular and form right angles, therefore the parallelogram is a rectangle. If the diagonals of a quadrilateral are perpendicular bisectors of each other, then it is a rhombus.

What is the meaning of non consecutive vertices?

Non consecutive vertices mean the vertices which are not in the adjacent. Here we are going to learn about the non consecutive vertices of the planes. Generally we can say opposite vertices of the polygons are called non consecutive vertices.

Does a rhombus have parallel sides?

A Rhombus is a flat shape with 4 equal straight sides. Opposite sides are parallel, and opposite angles are equal (it is a Parallelogram). And the diagonals “p” and “q” of a rhombus bisect each other at right angles.

What makes a rectangle a rectangle?

Rectangles. Definition: A rectangle is a quadrilateral with four right angles. We could have also said that a rectangle is a parallelogram with four right angles, since and quadrilateral with four right angles is also a parallelogram (because their opposite sides would be parallel).

What do you mean by consecutive vertices?

Consecutive vertices of a polygon are any two vertices that are connected by a single side.