Which of the following statements is true about congruent shapes?

Prepare for the ASMEPPS Mathematics Test. Study with engaging flashcards and multiple choice questions, complete with hints and explanations. Ace your exam!

Congruent shapes are defined as figures that have exactly the same shape and size. This means that every corresponding side of one shape is equal in length to the corresponding side of the other shape, and every corresponding angle is equal as well. When two shapes are congruent, one can be transformed into the other through rotations, translations, or reflections, without altering their dimensions or proportions.

To clarify why this understanding holds true, if two shapes are congruent, you can superimpose them onto each other perfectly. This property is crucial in geometry, especially in proofs and theorems that involve congruence, such as those in triangle congruence criteria (like SSS, ASA, and AAS). This foundational concept ensures that congruent shapes retain their inherent characteristics, making them fundamentally identical in every measurable way.

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy