Similar triangles have which properties?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Prepare for the PSAT 8/9 Math Test. Engage with flashcards and multiple-choice questions, featuring hints and explanations for each question to help you succeed. Be exam-ready!

Multiple Choice

Similar triangles have which properties?

Explanation:
Similar triangles share the same shape, which means their corresponding angles are equal and their corresponding sides are in the same ratio. That ratio can be any positive number, so the triangles can be different sizes but still have the same angles. So, equal angles combined with proportional sides is the defining idea of similarity. Having equal angles and equal sides would make the triangles congruent, not just similar, since congruent triangles are identical in size and shape. The idea of proportional angles doesn’t apply, because angles aren’t measured by a scale—they’re either equal or not.

Similar triangles share the same shape, which means their corresponding angles are equal and their corresponding sides are in the same ratio. That ratio can be any positive number, so the triangles can be different sizes but still have the same angles. So, equal angles combined with proportional sides is the defining idea of similarity.

Having equal angles and equal sides would make the triangles congruent, not just similar, since congruent triangles are identical in size and shape. The idea of proportional angles doesn’t apply, because angles aren’t measured by a scale—they’re either equal or not.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy