Study guides

☆☆

Q: What is a shape that has all equal angles and 4 congruent sides?

Write your answer...

Submit

Still have questions?

Related questions

Congruent Figures has equal sides, angles, shape and size.

A square, because congruent means equal.

Angles and sides are congruent when they are identical. A shape with four identical sides and angles is a square.

are angels having not equal,zize shape and measurement

A regular polygon has congruent sides and equal interior angles such as a square or an equilateral triangle

It would take the shape of a square with 4 equal sides and 4 equal right angles.

This is a rectangle.

This is a parallelogram, opposite sides are of equal length and opposite angles are equal in size.

Corresponding sides and angles equal.

a regular polygon

none exist.

A congruent shape is a shape with all of its sides equal length.

Its sides are congruent but not its angles because it has 2 equal opposite acute angles and 2 equal opposite obtuse angles.

All three sides are congruent (equal in length); all three angles are congruent (same measure).All three sides are congruent (equal in length); all three angles are congruent (same measure).All three sides are congruent (equal in length); all three angles are congruent (same measure).All three sides are congruent (equal in length); all three angles are congruent (same measure).

It is an equilateral triangle that has 3 equal sides and 3 equal interior angles

This is a parallelogram. The first requirement is 2 pairs of congruent sides where the congruent sides are not adjacent. This is like a rectangle (excluding a square) that has two pairs of congruent sides where the congruent sides are not adjacent. But the angles are not all congruent (as set in the question) which pushes the shape into the "next less regular" shape, the parallelogram. The angles will not all be congruent, but it will have 2 pairs of congruent angles. There is no way to avoid the 2 pairs of congruent angles because of the requirement that the shape must have 2 pairs of congruent sides (the first requirement).

All angles will be equal and the type of angle will depend on how many sides the shape has

square

That is a mathematical impossibility. At least 2 angles have to be congruent in order for the shape to have 4 sides.

You have described a rectangle.

A polygon that has congruent sides and congruent angles is called a Regular polygon. If the number of sides is given, you can be more specific. Some examples: 3 congruent sides/angles = equilateral triangle 4 congruent sides/angles = square 5 congruent sides/angles = regular pentagon 6 congruent sides/angles = regular hexagon ...and so on, by adding "regular" in front of the shape's name.

rectangle

A polygon with 2n sides (n>1) can have opposite angles congruent.

Square

square