Congruence Flashcards

All 5 cards in this deck

What does it mean for two shapes to be congruent?

They are exactly the same shape and size — all corresponding sides and all corresponding angles are equal.

What does $\triangle ABC \equiv \triangle DEF$ mean?

Triangle $ABC$ is congruent to triangle $DEF$, with vertices in corresponding order, so $AB = DE$ and $\angle A = \angle D$.

True or false? A shape and its mirror image cannot be congruent.

False. Reflected and rotated shapes are still congruent — only size and shape matter, not orientation.

True or false? Two congruent shapes are always similar.

True. They are similar with scale factor $1$.

True or false? Two shapes with the same area must be congruent.

False. E.g. a $2\times6$ rectangle and a $3\times4$ rectangle have equal areas but different side lengths.