1. 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.) 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 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

2. 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.

3. 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 ) mÐCXF
9.) mÐKXF 19.) mÐCXH
10.) mÐFXH 20.) mÐBXJ K J H X B G C F D

4. 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 = ____ ____________
ST + ES = _____
4. _____________ 4. ____________
1. _____________ ____________
2. _____________ 2. Substitution
3. _____________ 3. ____________

5. 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 = mÐ _________
4. mÐ2 + mÐ3 = _________
5. mÐ2 + mÐ3 = mÐDCH 5. _________
6. ________________ _________
7. ÐDCH is a right angle _________
8. ________________ _________

6. Station 6 – Complete each proof.
2. Given: Ð3; Ð5.
Prove: 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 ____________
3. ____________ Definition of a right angle
4. ____________ Angle Addition Postulate
5. ____________ Substitution
6. ____________ _____________
1. ____________ Given
2. ____________ ___________
3. Ð ___________
4. ___________ Given.
5. ___________ ____________