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Q: Are two squares congruent if they have the same area?
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Two squares are congruent if they have the same?

If they have the same area.


If two squares have the same side lengths are the two squares necessarily congruent?

If two squares have the same side length for all sides, then they are congruent.


What is word in math for the same?

The word for the same in math is congruent. For example, if there are two squares, both the exact same size, length, width etc., then the two shapes are congruent.


If two triangles are congruent do they have the same area?

yes they have same area


If two objects have the same area are they congruent?

No. They have to have the same shape; each of their corresponding sides and angles must be congruent. A 6*6 square has the same area as a 4*9 rectangle. The two are not congruent.


Are two squares with the same perimeter congruent?

Yes, if the perimeters are the same, then both of them have side = perimeter / 4. And of course the angles are all 90°, since they are squares.


A rectangular painting is made up of two congruent squares with sides that measure 2ft what is the area of the entire painting?

The length is the length of the two congruent squares, 4. The width is the length of one square, 2. Area is length X width, or 4 X 2 = 8


Will two squares always be congruent?

Yes.


What shape has two congruent squares and four congruent rectangles?

Rectangular prism


Is it true that if two polygons have the same area then they are congruent?

No. For example, a 12x1 and a 4x3 quadrilateral both have an area of 12, but they are not congruent.


If two squares have the same area must they have the same perimeter?

yes


If two shapes have the same area and perimeter are they congruent?

Only if they have the same number of sides.