Geometry/Trig 2Name: __________________________ Unit 3 Review PacketDate: ___________________________ Section I. Construct the following in the box: a.Create scalene acute triangle ABC b.Extend a side at vertex B to create an exterior angle c.Label the measure of the exterior angle 3x+3 d.Let Angle A = 54 ⁰ e.Extend a side at vertex C to create an exterior angle. f.Let the new exterior angle = 132 Solve for x IN TWO DIFFERENT WAYS! Show work for both processes: Statements Reasons Given: c ll d, 7 = 10 Prove: a ll b 1) 2) 3) 3) Given 4) 10 = 14 4) 5)

Number of Sides Name of polygon Sum of interior angles. Measure of each interior angle if it was a regular polygon Each exterior angle 360  8 10 Triangle Pentagon 900  6 Section V. Determine which lines, if any, are parallel based on the given information. If there are parallel lines, state the reason they are parallel. 1.) m  1 = m  9 ___________________ ___________________ 2.) m  1 = m  4 ___________________ ___________________ 3.) m  12 + m  14 = 180 ___________________ ___________________ 4.) m  1 = m  7 ___________________ ___________________ b a dc Section IV: Complete the table below! Section VI. Using the diagram above….Suppose c ll d ONLY! A) State the relationship of the angles given. B) Determine if they are congruent, supplementary, or neither. 5.) m  7 & m  14A: ___________________ B:_________________ 2.) m  12 & m  14 A: ___________________ B:_________________ 3.) m  1 & m  10 A: ___________________ B:_________________ 4.) m  1 & m  13 A: ___________________ B:_________________ 5) m  6 & m  3 A: ___________________ B:_________________

Geometry/Trig 2Name: __________________________ Unit 3 Review Packet – Proofs!Date: ___________________________ Statements Reasons Given: AJ // CK; m  1 = m  5 Prove: BD // FE AC D E F B JK 5. BD // EF Statements Reasons 1. AJ // CK1. __________________ 2. If 2 lines are //, then _______________________ 3. _____________ 2. _____________ 4. _____________ 5. ____________________ ______________________ 3. Given 4. ________________ Statements Reasons Given: AJ // CK; m  1 = m  5 Prove: BD // FE AC D E F B JK 5. BD // EF Statements Reasons 1. AJ // CK1. __________________ 2. If 2 lines are //, then _______________________ 3. _____________ 2. _____________ 4. _____________ 5. ____________________ ______________________ 3. Given 4. ________________