Practice - SAS (Side-Angle-Side)
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Practice Questions
Test your understanding with targeted questions
Define the SAS theorem.
💡 Hint: Think about what is needed to confirm that two triangles are the same.
True or False: You can use the SAS theorem if the included angle is different.
💡 Hint: Remember the angle must be the one between the two sides.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the SAS theorem require for triangle congruence?
💡 Hint: Remember the acronym SAS and what it stands for.
True or False: To claim two triangles are congruent by SAS, the angle does not have to be between the two sides.
💡 Hint: What happens if you choose a different angle?
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Challenge Problems
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Triangle ABC has sides AB = 8 cm, AC = 6 cm, and angle A = 45 degrees. Triangle DEF has sides DE = 8 cm, DF = 6 cm, and angle D = 45 degrees. Prove that triangles ABC and DEF are congruent using SAS.
💡 Hint: Make sure to confirm the included angles before concluding.
Two triangles are presented. Triangle X has angles X = 30 degrees, Y = 50 degrees, and side XY = 5 cm. Triangle Z has angles Z = 30 degrees, A = 50 degrees, and side ZA = 6 cm. Determine if these triangles are congruent by SAS.
💡 Hint: Remember the criterion states you need sides and the angle, just angles do not confirm congruence.
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