Triangles congruent by ASA and AAS proofs

Get the most by viewing this topic in your current grade. Pick your course now.

Introduction
Lessons
    1. Similar tirangles VS. Congruent triangles
    2. Ways to prove congruency:
      • SSS
      • SAS
      • ASA
      • AAS
Examples
Lessons
  1. What is the third congruence that is needed to prove that △ABC\triangle ABC≅\cong△DEF\triangle DEF using the given postulate or theorem?
    Triangles congruent by ASA and AAS proofs
    1. AB‾\overline {AB}≅\congDE‾\overline {DE} and ∠C\angle C≅\cong∠F\angle F
      Prove by AAS.
    2. AC‾\overline {AC}≅\congDF‾\overline {DF} and ∠A\angle A≅\cong∠D\angle D
      Prove by ASA.
    3. ∠A\angle A≅\cong∠D\angle D and ∠B\angle B≅\cong∠E\angle E
      Prove by AAS.
  2. Decide if the following triangles are congruent. Show your reasoning.
    1. △ABC\triangle ABC, △CBD\triangle CBD
      Proving triangles congruent by Angle Side Angle and Angle Angle Side proofs
    2. △XYZ\triangle XYZ, △XWZ\triangle XWZ
      ASA and AAS proofs of congruence of triangles
Free to Join!
StudyPug is a learning help platform covering math and science from grade 4 all the way to second year university. Our video tutorials, unlimited practice problems, and step-by-step explanations provide you or your child with all the help you need to master concepts. On top of that, it's fun - with achievements, customizable avatars, and awards to keep you motivated.

  • Easily See Your Progress

    We track the progress you've made on a topic so you know what you've done. From the course view you can easily see what topics have what and the progress you've made on them. Fill the rings to completely master that section or mouse over the icon to see more details.

  • Make Use of Our Learning Aids

    Last Viewed
    Practice Accuracy
    Suggested Tasks

    Get quick access to the topic you're currently learning.

    See how well your practice sessions are going over time.

    Stay on track with our daily recommendations.

  • Earn Achievements as You Learn

    Make the most of your time as you use StudyPug to help you achieve your goals. Earn fun little badges the more you watch, practice, and use our service.

  • Create and Customize Your Avatar

    Play with our fun little avatar builder to create and customize your own avatar on StudyPug. Choose your face, eye colour, hair colour and style, and background. Unlock more options the more you use StudyPug.
Topic Notes