Question

Fill in the blank.
Two squares are congruent if ________.

Answer 1

Hint: First we need to compare the two squares, as we know that congruent means the same shape and same size. Then by the definition of congruency we get the required answer of the given statement.

Complete step-by-step solution:
In geometry, A square is closed, two – dimensional quadrilateral shape with 4 equal sides.
Congruency or congruent means the same shape and same size. So, congruent has to do with comparing any two figures or shapes, and equivalent means two expressions are equal. So, to say two line segments are congruent relates to the measures of the two lines being equal.
Then by the definition of congruency or congruent shapes
Congruent squares are the two squares that have the exact same shape and the exact same size.

Hence, two squares are congruent if they have the same side length.

Note: Remember, there is a lot of difference between the congruent and similar. If two shapes or figures are similar it means irrespective of size and the ratios of the lengths of their corresponding sides are equal. Likewise if two figures are congruent it means it will be of the same size.
All congruent figures are similar figures but all similar figures need not be a congruent.