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.

Simply so, What makes a rectangle congruent?

Congruence. If two figures have the same shape and the same size, then they are said to be congruent figures. For example, rectangle ABCD and rectangle PQRS are congruent rectangles as they have the same shape and the same size. Side AB and side PQ are in the same relative position in each of the figures.

What is a 4 sided shape with no equal sides called? Quadrilateral just means “four sides

## Are rectangles Rhombuses?

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.

## 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 diagonals equal in rhombus?

The diagonals of a rhombus bisect each other. This means that they cut each other in half. Therefore, diagonals being equal is a special case when all the sides of the rhombus are equal i.e it is a square. Otherwise not.

## What is the difference between a rhombus and a trapezoid?

A trapezoid is a quadrilateral with at least one pair of parallel sides (called bases), while a rhombus must have two pairs of parallel sides (it is a special case of a parallelogram). The second difference is that the sides of a rhombus are all equal, while a trapezoid may have all 4 sides of a different length.

## 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).

## Is rhombus a trapezium?

A rhombus is a quadrilateral in which all the sides are equal and both pairs of opposite sides are parallel. However, only one pair of opposite sides are parallel, and all the sides of a trapezium are unequal- unless it is an isosceles trapezium in which case the two non-parallel sides are equal.

## What does a rectangle do?

Rectangle. A 4-sided flat shape with straight sides where all interior angles are right angles (90°). Also opposite sides are parallel and of equal length. Example: A square is a special type of rectangle.

## 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.

## Is a kite a rhombus?

In general, any quadrilateral with perpendicular diagonals, one of which is a line of symmetry, is a kite. Every rhombus is a kite, and any quadrilateral that is both a kite and parallelogram is a rhombus. A rhombus is a tangential quadrilateral. That is, it has an inscribed circle that is tangent to all four sides.

## What makes a rectangle a square?

Definition: A square is a quadrilateral with all four angles right angles and all four sides of the same length. So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles.

## Are rectangles trapezoids?

NO. A trapezoid is defined (in North America) to be a quadrilateral that has exactly one pair of parallel sides. A quadrilateral with two pairs of parallel sides is called a parallelogram; a parallelogram with right angles is a rectangle.

## Can a rectangle have all equal sides?

A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal. No, because a rhombus does not have to have 4 right angles.

## Is a rectangle always a parallelogram?

It is true that every rectangle is a parallelogram, but it is not true that every parallelogram is not a rectangle. For instance, take a square. It’s a parallelogram — it is a quadrilateral with two pairs of parallel faces. But it is also a rectangle — it is a quadrilateral with four right angles.

## Does a rectangle have perpendicular lines?

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

## Does a rectangle have perpendicular lines?

A rhombus is a quadrilateral with all sides equal in length. A square is a quadrilateral with all sides equal in length and all interior angles right angles. Thus a rhombus is not a square unless the angles are all right angles. A square however is a rhombus since all four of its sides are of the same length.

## Why do we call a rectangle a rectangle?

The word rectangle comes from the Latin rectangulus, which is a combination of rectus (as an adjective, right, proper) and angulus (angle). A crossed rectangle is a crossed (self-intersecting) quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals.

## Are parallelograms trapezoids?

No, a trapezoid is not a parallelogram. A trapezoid is defined as having Exactly two parallel sides while a parallelogram has two pairs of parallel sides.

## What is a 4 sided shape called?

A quadrilateral is a foursided polygon with four angles. There are many kinds of quadrilaterals. The five most common types are the parallelogram, the rectangle, the square, the trapezoid, and the rhombus. Move your mouse cursor over the figures at the right to learn more.

## What polygon has 4 sides?

A quadrilateral is a four-sided polygon with four angles. There are many kinds of quadrilaterals. The five most common types are the parallelogram, the rectangle, the square, the trapezoid, and the rhombus.

## Is a quadrilateral always a trapezoid?

Square is a quadrilateral with four equal sides and angles. It’s also a regular quadrilateral as both its sides and angles are equal. Just like a rectangle, a square has four angles of 90° each. It can also be seen as a rectangle whose two adjacent sides are equal.

## Are squares trapezoids?

Explanation: A trapezoid is a quadrilateral with at least one pair of parallel sides. In a square, there are always two pairs of parallel sides, so every square is also a trapezoid. Conversely, only some trapezoids are squares.

## What does a rectangle need?

Mentor: Okay, so a rectangle must have opposite sides that are parallel and equal and four right angles. A square must have opposite sides parallel, all sides congruent, and four right angles.

## What does a rectangle need?

The square is made of four lines. Because each line is perpendicular to two other lines, a square has four right angles. Like a square, a rectangle has lines that are perpendicular to two other lines. This means it also has four right angles.

## What are congruent sides?

Congruent sides or segments have the exact same length. Congruent angles have the exact same measure. For any set of congruent geometric figures, corresponding sides, angles, faces, etc. are congruent.

## Is a square a rhombus?

A rhombus is a quadrilateral with all sides equal in length. A square is a quadrilateral with all sides equal in length and all interior angles right angles. Thus a rhombus is not a square unless the angles are all right angles. A square however is a rhombus since all four of its sides are of the same length.

parallelogram

## What shape is a trapezoid?

A trapezoid is a four-sided shape with at least one set of parallel sides. It can have two and be a parallelogram. But, if two sides aren’t parallel, then it’s just the lowly trapezoid. So, in a trapezoid, the parallel sides are called the bases.

## Is a square a quadrilateral?

A rhombus is a quadrilateral with all sides equal in length. A square is a quadrilateral with all sides equal in length and all interior angles right angles. Thus a rhombus is not a square unless the angles are all right angles. A square however is a rhombus since all four of its sides are of the same length.

trapezoid

## What shape has 4 sides with different lengths?

Square is a quadrilateral with four equal sides and angles. It’s also a regular quadrilateral as both its sides and angles are equal. Just like a rectangle, a square has four angles of 90° each. It can also be seen as a rectangle whose two adjacent sides are equal.