What are consecutive congruent sides?

Asked By: Neomi Fening | Last Updated: 10th May, 2020
Category: science space and astronomy
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A kite is a quadrilateral in which two disjoint pairs of consecutive sides are congruent (“disjoint pairs” means that one side can't be used in both pairs).

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Hereof, 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.)

Furthermore, what is a consecutive side? 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,

Likewise, people ask, are consecutive sides of a parallelogram congruent?

THEOREM: If a quadrilateral is a parallelogram, it has 2 sets of opposite angles congruent. THEOREM: If a quadrilateral is a parallelogram, it has consecutive angles which are supplementary. THEOREM: If a quadrilateral has one set of opposite sides which are both congruent and parallel, then it is a parallelogram.

Can you draw a quadrilateral with one pair of congruent consecutive sides?

There is no specific word for quite this concept! A quadrilateral with one pair of parallel sides is a trapezoid. If it has two pairs of parallel sides it is a parallelogram, but parallelograms are also trapezoids in the same way that dogs are also mammals. A parallelogram has two pairs of congruent sides.

39 Related Question Answers Found

What is a 50 sided shape called?

In geometry, a pentacontagon or pentecontagon or 50-gon is a fifty-sided polygon. The sum of any pentacontagon's interior angles is 8640 degrees. A regular pentacontagon is represented by Schläfli symbol {50} and can be constructed as a quasiregular truncated icosipentagon, t{25}, which alternates two types of edges.

What does it mean to be congruent?

The adjective congruent fits when two shapes are the same in shape and size. If you lay two congruent triangles on each other, they would match up exactly. Congruent comes from the Latin verb congruere "to come together, correspond with." Figuratively, the word describes something that is similar in character or type.

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.

Does a rhombus have adjacent sides?

A rhombus is defined as a parallelogram with four equal sides. Is a rhombus always a rectangle? No, because a rhombus does not have to have 4 right angles. Kites have two pairs of adjacent sides that are equal.

Are consecutive sides of a rectangle perpendicular?


All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary). All sides are congruent by definition. The diagonals bisect the angles. The diagonals are perpendicular bisectors of each other.

What is the difference between consecutive and adjacent?

Adjacent Sides - Sides of a polygon that share a vertex. Consecutive Vertices - Vertices of a polygon that include the endpoints of the same side. Continuous - Without any gaps or holes. Convex Polygon - A polygon whose interior angles are all less than 180 degrees.

Are consecutive angles congruent?

If you have one angle that is a right angle, then all the rest of the angles should be right angles, too. Why? Because we know that the opposite angles are congruent. We also know that consecutive angles are supplementary, and 90 + 90 = 180.

Does a rectangle have adjacent sides?

Rectangles have four straight sides. Each pair of opposite sides is parallel, and adjacent sides are perpendicular. This means that every angle in a rectangle is a right (90∘) angle.

Is rhombus a parallelogram?

DEFINITION: A rhombus is a parallelogram with four congruent sides. THEOREM: If a parallelogram is a rhombus, each diagonal bisects a pair of opposite angles. THEOREM Converse: If a parallelogram has diagonals that bisect a pair of opposite angles, it is a rhombus.

What are the 4 properties of a rhombus?


Summary of properties
S.No. Property Rhombus
1 All sides are congruent
2 Opposite sides are parallel and congruent
3 All angles are congruent
4 Opposite angles are congruent

Is a rectangle a rhombus?

Explanation: A rectangle is a parallelogram with all its interior angles being 90 degrees. A rhombus is a parallelogram with all its sides equal. This means that for a rectangle to be a rhombus, its sides must be equal.

Is a parallelogram a polygon?

A parallelogram is a quadrilateral with two pairs of parallel sides. A polygon is a simple closed figure with at least three straight sides. A quadrilateral is a closed figure with four sides and four vertices.

How do you prove lines are parallel?

The first is if the corresponding angles, the angles that are on the same corner at each intersection, are equal, then the lines are parallel. The second is if the alternate interior angles, the angles that are on opposite sides of the transversal and inside the parallel lines, are equal, then the lines are parallel.

Is a trapezoid congruent?

The bases (top and bottom) of an isosceles trapezoid are parallel. Opposite sides of an isosceles trapezoid are the same length (congruent). The angles on either side of the bases are the same size/measure (congruent).

What is a congruent parallelogram?


A quadrilateral is a parallelogram if:
Both pairs of opposite sides are congruent. If they are congruent, they must also be parallel. Or: One pair of opposite sides are congruent and parallel. Then, the other pair must also be parallel.

What is called parallelogram?

A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal). A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle.

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.