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Geometry and Trigonometry: Unit 8 Stations Review for Missing Angles and Sides

This review document is designed for students to practice solving for missing sides and angles in geometric figures involving circles. The tasks include finding missing lengths and angles, with particular emphasis on tangents, diameters, and properties of circles. Each station requires students to leave their answers in simplified radical form, ensuring a strong grasp of fundamental concepts in geometry and trigonometry. Ideal for unit reviews or test preparation.

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Geometry and Trigonometry: Unit 8 Stations Review for Missing Angles and Sides

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  1. Geometry/Trig 2 Name: __________________________ Unit 8 Stations Review Date: ________________ Block _____ Station 1 – Solve for the missing side or angle. Leave all sides in simplified radical form. 1. Q is the center of the circle. AQ  QB. 2. Q is the center of the circle. AB = _______ mQAB = _______ AB = _______ 3. Q is the center of the circle and AB is tangent to the circle. 4. Q is the center of the circle. BC and AC are tangent to the circle. QC = 20. BC = _______ AC = _______ mQCB = _______ QA = _______ QC = _______ Station 2 – Solve for the missing side or angle. Leave all sides in simplified radical form. 5. Q is the center of the circle. 6. Q is the center of the circle. x = _______ y = _______ mBC = _______ x = _______ y = _______ z = _______ 7. Q is the center of the circle. If LQ = 6, MN = 16 and QJ = 4. Find: 8. Q is the center of the circle. LN = _______ QN = _______ JP = ________ KP = ________ mAB = _______ mDQC = _______

  2. Geometry/Trig 2 Unit 8 Stations Review Station 3 – Solve for the missing angles or arcs. 9. 10. BC is a diameter. mAC = _______ mBA = _______ mBD= _______ mBAC = ______ mCAD = ______ mBAD = ______ mCD = _______ mAD= _______ mBAC = ______ mADB = ______ mABD = ______ A B C 2 1 D C B 11. 12. AC is tangent to the circle. 3 mAC = _______ mBC = _______ mCD= _______ mDA = ______ mCDA = ______ mBCD = ______ mBD = _______ mED = _______ mABE= _______ mBDE = ______ mCBD = ______ mEBD = ______ 1 3 Q G 5 6 7 D A 4 2 F E E 8 Station 4 – Solve for the missing angles or arcs. 4 • _____________________________________ • _____________________________________ • _____________________________________ • _____________________________________ H J G m1 = ______ m2 = ______ m3 = ______ m4 = ______ mBD = _______ mED= _______ mFE = _______ m1 = ______ m2 = ______ m3 = ______ m4 = ______ m5 = ______ m6 = ______ m7 = ______ m8 = ______

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