Practice - SAS (Side-Angle-Side)
Practice Questions
Test your understanding with targeted questions
In triangle ABC, if AB = 6 cm, AC = 8 cm, and ∠A = 50°. What condition would triangle DEF need to meet to prove that ΔABC ≅ ΔDEF using SAS?
💡 Hint: Focus on the sides and the included angle.
If triangle JKL has KL = 4 cm, JK = 3 cm, and ∠K = 30°. Is it possible for triangle MNO to also be congruent, and if so, what measurements would work?
💡 Hint: Check the sides and the included angle.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does SAS stand for?
💡 Hint: Think about which parts of the triangle are being compared.
If two triangles have two sides and the included angle that are equal, what can we say about them?
💡 Hint: Remember the SAS definition!
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Challenge Problems
Push your limits with advanced challenges
If triangle XYZ has sides XY = 10 cm, XZ = 7 cm, and angle Y = 50°, and triangle ABC has side lengths AB = 10 cm, AC = 7 cm, and angle A = 50°. Prove that ΔXYZ ≅ ΔABC by SAS.
💡 Hint: Identify and compare the sides and angle carefully.
In triangle DEF, DE = 12 cm, DF = 15 cm, and ∠D = 40°. Triangle GHI has GH = 12 cm, HI = 15 cm, and angle H = 40°. Use SAS to verify the congruence of these triangles.
💡 Hint: Highlight the equal sides and angle between them.
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Reference links
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