What does it mean for two figures to be congruent in geometry?
Q: What does it mean for two figures to be congruent in geometry?
A: Two figures are congruent in geometry if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Q: How are two sets of points called congruent?
A: Two sets of points are called congruent if and only if one can be transformed into the other by isometry.
Q: What are rigid motions used for in isometry?
A: Rigid motions are used in isometry to reposition, rotate or reflect geometrical figures without resizing them, so that they coincide exactly with other objects.
Q: Can two figures be congruent if one of them has to change its size to coincide with the other?
A: No, if one of the objects has to change its size to coincide with the other, then the two objects are not congruent, but they are called similar.
Q: What can we say about the congruence of two distinct plane figures on a piece of paper?
A: Two distinct plane figures on a piece of paper are congruent if we can cut them out and then match them up completely, turning the paper over if needed.
Q: What are congruent polygons?
A: Congruent polygons are polygons that can be folded in half to form another regular polygon that is also congruent.
Q: What is the criterion for two objects to be called congruent in geometry?
A: The criterion for two objects to be called congruent in geometry is that one object can be repositioned, rotated or reflected so that it coincides exactly with the other object, without changing its size.
