7.3 - Criteria for Congruence of Triangles
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Practice Questions
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State the SAS criterion in your own words.
💡 Hint: Think about what sides and angles are needed.
Give an example of two triangles that would satisfy the ASA criterion.
💡 Hint: Think of pairs of angles and corresponding sides.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which triangle congruence criterion is satisfied if two sides and the included angle are known?
💡 Hint: Recall the representation of sides and angles.
True or False: The SSS criterion states that three different angles must be equal for triangles to be congruent.
💡 Hint: Remember what SSS stands for.
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Challenge Problems
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Consider two triangles ABC and DEF such that sides AB = 5 cm, BC = 6 cm, and AC = 7 cm, while sides DE = 5 cm and EF = 6 cm. If triangle DEF has an angle equal to angle C, are the triangles congruent, and why?
💡 Hint: Examine each triangle side’s relationship with the corresponding angle.
You have triangles GHI and JKL, where angle G = 60°, angle H = 80°, and side GH = 7 cm. Triangle JKL has angles of 60° and 80° as well. Can you analyze if they are congruent?
💡 Hint: Consider if equal angles imply potential side congruency.
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