# Has 4 congruent sides and 4 congruent angles?

## Has 4 congruent sides and 4 congruent angles?

Rhombus: A quadrilateral with four congruent sides; a rhombus is both a kite and a parallelogram. Rectangle: A quadrilateral with four right angles; a rectangle is a type of parallelogram. Square: A quadrilateral with four congruent sides and four right angles; a square is both a rhombus and a rectangle.

What figure must have 4 congruent sides?

rhombus
A square also has 4 right angles, so therefore it is a rectangle. A square also has 4 congruent sides, therefore it is a rhombus.

Does a parallelogram have 4 congruent sides and 4 congruent angles?

Condition 1: Parallelograms with four congruent sides are Square and Rhombus. Condition 2: Parallelograms with four right angles are Square and Rectangle. Square is the only parallelogram that satisfies both the conditions of having four congruent sides and four right angles.

### Are all 4 angles congruent in a rhombus?

Proof that the diagonals of a rhombus are perpendicular Corresponding parts of congruent triangles are congruent, so all 4 angles (the ones in the middle) are congruent. This leads to the fact that they are all equal to 90 degrees, and the diagonals are perpendicular to each other.

Does rhombus have 4 90 degree angles?

No, because a rhombus does not have to have 4 right angles. A square has got 4 sides of equal length and 4 right angles (right angle = 90 degrees). A Rhombus has got 4 sides of equal length and opposite sides are parallel and angles are equal.

Is every rectangle with 4 congruent sides a square?

Every rhombus is a quadrilateral. Every square is a parallelogram.

## Can a quadrilateral have 4 acute angles?

Explanation: The sum of the internal angles of a quadrilateral is 360∘ . Hence the maximum number of acute angles a quadrilateral can have is 3 , since the 4 th angle will be forced to be greater than 90∘ .

What are four congruent sides?

Four congruent angles mainly considered with the rectangle. Rectangle has two pair of equal side and all the sides are equal.

• Also when there are four congruent angles,length of diagonals are also equal.
• Both in the rectangle and in square,measure of diagonal is equal in length.
• When there are four congruent angles,then there is all the sides which are intersecting are perpendicular to each other,since the angles are in 90°.
• What are some examples of congruent angles?

Congruent angles are nothing but measure of two angles is equal. This is mostly occurs in the triangle where two or all the three angles of the triangle are equal in measure. For example, in isosceles triangle, two sides and angles are equal and in the equilateral triangle, all the angles are equal.

### What types of quadrilaterals have four congruent sides?

Square: A quadrilateral with four congruent sides and four right angles; a square is both a rhombus and a rectangle. Trapezoid: A quadrilateral with exactly one pair of parallel sides (the parallel sides are called bases) Isosceles trapezoid: A trapezoid in which the nonparallel sides (the legs) are congruent.

What is quadrilateral with 4 congruent sides?

Rhombus: A quadrilateral with four congruent sides; a rhombus is both a kite and a parallelogram Rectangle: A quadrilateral with four right angles; a rectangle is a type of parallelogram Square: A quadrilateral with four congruent sides and four right angles; a square is both a rhombus…