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Q: What is the name of the property that allows us to add a number on both sides of an equal sign?

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all of its sides are equal

It is the number 0. The identity property allows you to solve equations. If you want to remove a term from one side of an equation to add its additive inverse to both sides.

An infinite number. A polygon with any number of sides can be equilateral (ie have sides of equal length).

In equilateral triangle : sides are equal and angles are equal. So if all sides sre equal then the angles between them would be equal. The angles would equal 60 degrees. In an isosceles triagle, two of the three sides are equal. In a scalene triangle, all of the sides are different.

No. An isosceles triangle has two equal sides but only one line of symmetry.

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States that two sides of an equation remain equal if multiplied by the same number. usually seen algebraically as: if a = b, then ac = bc this is the property that allows you to "move" a number to the other side of the equation by multiplying or dividing both sides by the same number.

I think its a property in which both sides of an equation are equal either by adding, subtracting, multiplication, or division.

The Addition Property of Equality states that if you add the same number to both sides of an equation the two sides remain equal. Source- My mathbook.

The property is: If equals are subtracted from equals, the results are equal.

all of its sides are equal

adding the same number to each side of an equation, while two sides remain equal

Opposite angles/sides are equal.

It is the number 0. The identity property allows you to solve equations. If you want to remove a term from one side of an equation to add its additive inverse to both sides.

-- A rhombus has four sides. -- All four sides are equal. -- Opposite sides are parallel.

Cohesion

An infinite number. A polygon with any number of sides can be equilateral (ie have sides of equal length).

..in what?