Station 1 – Provide a justification (definition, property, postulate, or theorem) for each statement. D 1.) If BH ^ DC, then ÐDCH is a right angle. 2.) FC + CG = FG. 3.) If C is the midpoint of FG, then FC = CG. 4.) mÐBCG + mÐGCH = 180. 5.) If ÐDCH is a right angle, then mÐDCH = 90. 6.) mÐDCG + mÐGCH = mÐDCH. 7.) If ÐBCD is a right angle, then BH ^ DC. 8.) If C is the midpoint of FG, then FC = ½FG. 9.) If Ð3 and Ð1 are complementary angles, then mÐ3 + mÐ1 = 90. 10.) ÐBCF @ ÐGCH 11.) If mÐ1 = mÐ2 and mÐ2 = mÐ3, then mÐ1 = mÐ3. 12.) If mÐBCF + mÐFCH = mÐFCH + mÐHCG, then mÐBCF = mÐHCG. 13.) If CG bisects ÐDCH, then ÐDCG @ ÐGCH 14.) If mÐDCG + mÐFCH = 180, then ÐDCG and ÐFCH are supplementary angles. 15.) If CG bisects ÐDCH, then mÐDCG = ½mÐDCH. G 3 B C 2 H 1 F

Station 2 – Complete each algebra connection problem. 1. 2. L F G D If DF = 2x - 1, FG = 2x + 7, and DG = 6x – 8, find the value of x, DF, FG, and DG. M N P If mÐMNL = 14x + 2 and mÐLNP = 45x + 1, find the value of x, mÐMNL, mÐLNP, and mÐMNP. 3. 4. Q J ÐJKM and ÐMKL are complementary angles. M T R S P K L If mÐJKM = 2x and mÐMKL = 6x + 10, find the value of x, mÐJKM, mÐMKL and mÐJKL. If mÐQSR = 7x - 5 and mÐTSP = 6x + 3, find the value of x, mÐQSR, mÐTSP, mÐQST and mÐRSP.

Given: KF ^ CH; JD ^ BG; mÐBXK = 72 Station 3 – Complete the diagram on your answer sheet; fill in all missing angle measures; find the measure of each indicated angle measure. Given: KF ^ CH; JD ^ BG; mÐBXK = 72 Find each angle measure: 1.) mÐKXJ 11.) mÐCXJ 2.) mÐJXH 12.) mÐJXF 3.) mÐHXG 13.) mÐGXC 4.) mÐGXF 14.) mÐCXH 5.) mÐFXD 15.) mÐFXB 6.) mÐDXC 16.) mÐKXD 7.) mÐCXB 17.) mÐDXH 8.) mÐKXH 18.) mÐCXF 9.) mÐKXF 19.) mÐCXH 10.) mÐFXH 20.) mÐBXJ K J H X B G C F D

Station 4 – Complete each proof. 2. Given: AB = BD; BC = BD. Prove: B is the midpoint of AC. 1. Given: WE = ST Prove: WS = ET D W E S T A B C Statements Reasons Statements Reasons 1. _____________ 1. ____________ 2. WE + ___ = ST + ____ 2. Addition Property 3. WE + ES = ____ 3. ____________ ST + ES = _____ 4. _____________ 4. ____________ 1. _____________ 1. ____________ 2. _____________ 2. Substitution 3. _____________ 3. ____________

Station 5 – Complete each proof. 2. Given: Ð1 and Ð3 are complementary. Prove: BH ^ DC 1. Given: 4x + 3y = 2x + 1; y = -2 Prove: x = 3.5 D G 3 B C 2 H 1 F Statements Reasons Statements Reasons 1. ________________ 1.__________ 2. ________________ 2. _________ 3. mÐ1 = mÐ2 3. _________ 4. mÐ2 + mÐ3 = 90 4. _________ 5. mÐ2 + mÐ3 = mÐDCH 5. _________ 6. ________________ 6. _________ 7. ÐDCH is a right angle 7. _________ 8. ________________ 8. _________

Station 6 – Complete each proof. 2. Given: Ð2 @ Ð3; Ð4 @ Ð5. Prove: Ð2 @ Ð5. 1. Given: BC ^ CD Prove: ÐBCF and ÐFCD are complementary. B F 1 5 3 4 2 C D 6 Statements Reasons Statements Reasons 1. _____________ 1. _____________ 2. ÐBCD is a right angle 2. ____________ 3. ____________ 3. Definition of a right angle 4. ____________ 4. Angle Addition Postulate 5. ____________ 5. Substitution 6. ____________ 6. _____________ 1. ____________ 1. Given 2. ____________ 2. ___________ 3. Ð2 @ Ð4 3. ___________ 4. ___________ 4. Given. 5. ___________ 5. ____________