Congruence
Overview
Two shapes are congruent when they are identical in both shape and size: one can be placed exactly on top of the other by a turn, a flip or a slide. Congruence is the precise way to say two figures are truly the same.
In this lesson you will recognize congruent figures and use the standard conditions for congruent triangles to prove that two triangles match, then use that fact to find unknown lengths and angles.
Objectives
- Recognize that two shapes are congruent and use congruence to solve problems.
Audio Lesson
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Mind map
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Flashcards
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Lesson Note
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Lesson Evaluation
Congratulations on completing the lesson on Congruence. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.
You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.
Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.
- Two congruent figures have a scale factor of: A. 0 B. 1 C. 2 D. any value Answer: B
- Which condition uses two sides and the angle between them? A. SSS B. SAS C. ASA D. RHS Answer: B
- RHS congruence applies to triangles that have: A. three equal sides B. a right angle, hypotenuse and one other side C. two angles and a side D. three equal angles Answer: B
- Congruent triangles have corresponding sides that are: A. in ratio 2 B. equal C. in ratio k D. halved Answer: B
- Three pairs of equal sides prove congruence by: A. ASA B. SAS C. SSS D. RHS Answer: C
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Practice Mock Questions
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