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Prove ∆EMC is ≅ to ∆ETC ET and EM are tangent to ◉ C Statements will be given for this proof Choose the appropriate reason. All reason answer choices are mathematically true. Pick the one that explains each statement. E M C T ET and EM are tangent to ◉ C Statements ? WHY ? Reasons E Given Taken M C T ET and EM are ≅ Statements ET and EM are tangent to ◉ C Reasons ? WHY ? Hat Theorem (twin tangents are ≅) Given Tangents and radii form right angles Radii of a circle are ≅ E M C T ET and EM are ≅ Statements EC is ≅ to EC ET and EM are tangent to ◉ C Reflexive Property (segments are ≅ to themselves) Hat Theorem (Twin Tangents are ≅) All radii from the same circle are ≅ Hat Theorem Reasons Given ? WHY ? E M C T ET and EM are ≅ Statements EC is ≅ to EC MC is ≅ to TC ET and EM are tangent to ◉ C Reflexive Property Hat Theorem Reasons Given ? WHY ? Tangents and radii form right angles The radius is half the diameter All radii from the same circle are ≅ E M C T ∆EMC is ≅ to ∆ETC ET and EM are ≅ Statements EC is ≅ to EC MC is ≅ to TC ET and EM are tangent to ◉ C Reflexive Property Circle radii are ≅ Hat Theorem Reasons ? WHY ? Given SAS (Side Angle Side) SSS (Side Side Side) ASA (Angle Side Angle) E M C T ∆EMC is ≅ to ∆ETC ET and EM are ≅ Statements EC is ≅ to EC MC is ≅ to TC ET and EM are tangent to ◉ C Reflexive Property Circle radii are ≅ Hat Theorem Reasons SSS Given Click OK E M C T "FINAL EXAM" ∆EMC is ≅ to ∆ETC ET and EM are ≅ Statements EC is ≅ to EC MC is ≅ to TC ET and EM are tangent to ◉ C Reflexive Property ? Circle radii are ≅ ? Hat Theorem ? Reasons Given ? SSS ? E M C T The End |