Worksheets

Ch 1-4 Review(1) Refer to the figure to the right. Given: FB ⊥ ADSupply a reason to justify each statementin the following sequence.(a) ∠ 1 ≅ ∠ BFD(b) ∠ 2 and ∠ 3 are complementary(c) m∠ 2 + m∠ 3 = 90(d) ∠ 1 is a right angle(e) m∠ 1 = 90(f) m∠ 2 + m∠ 3 = m∠ 1(g) m∠ BFD = m∠ 2 + m∠ 3 (k) m∠ 4 + m∠ 5 = 180(h) m∠ 3 = m∠ 5(l) ∠ 4 and ∠ 5 are supplementary(i) m∠ 2 + m∠ 5 = 90 (m) m∠ 1 + m∠ 2 + m∠ 3 = 180(j) ∠ 2 and ∠ 5 are complementaryA••E(n) AF + DF = AD5B •1F243C••D(2) Given the figure to the right, FC ⊥ AE , m∠AFD = 155° ,m∠ 2 = 4 m∠ 3 , find the measures ofall the numbered angles.A••GB •12• C34F65D••E(3) Given the figure as marked,find the values of x and y.(3x + 5)°(3x + y)°(6y + 15)°(2x + 5)°(4) Find the measure of an angle if 80° less than three times its supplement is 70° more than fivetimes its complement.

Ch 1-4 Review(5) (6)1 2341 2 3 47 865567 8Given: ∠ 1 ≅ ∠ 3Given: ∠ 1 and ∠ 7 are supplementaryProve: ∠ 2 ≅ ∠ 4 Prove: ∠ 6 ≅ ∠ 3A(7) (8)• D1 2 3• E• FBCD Given: AC bisects ∠ DAB Given: BE ⊥ ACAD bisects ∠ CAE ∠ 1 ≅ ∠ 4Prove: ∠ 1 ≅ ∠ 3 Prove: ∠ 2 ≅ ∠ 3E•A12B34•CA(9) (10)ABEDECDF13B 24 C5 6Given: BE bisects AC Given: m∠ 1 = m∠ 3BE bisects AD m∠ 2 = m∠ 4AB = AEProve: BC = DE Prove: m∠ 5 = m∠ 6

Ch 1-4 Review(11) Refer to the figure to the right, name the lineswhich must be parallel (if any) given the followinginformation. Consider each question separately.(a) ∠ 1 ≅ ∠ 7 (f) ∠ 5 ≅ ∠ 9(b) ∠ 5 ≅ ∠ 14 (g) ∠ 8 ≅ ∠ 13(c) ∠ 2 ≅ ∠ 4 (h) ∠ 7 ≅ ∠ 2(d) ∠ 9 ≅ ∠ 16 (i) ∠ 4 ≅ ∠ 10(e) ∠ 3 ≅ ∠ 1 (j) m∠3 + m∠12 = 180A B C D5 6 7 8 9 10 11 12E F G H1 2 3 413 14 15 16(12) Solve for x and y if l m (13) Solve for x and y given the figure as markedl(2x + y)°(x)°(3x − 6)°(4x + 2y + 10)°m(y + 20)°(5x)°(2y)°(14) Is l m ? Support your answer. (15) Find the measures of all the numberedanglesA(6x − 10)°l(4x + 30)°3 4240°Bm(3x + 12)°D125°6E5C(16) Solve for x and y if AB CD and AC DE (17) Find the sum of the measures of the markedanglesA2x + yD95°45°y + 5BCE(18) Find the measure of each interior angle of a regular 15-gon.(19) The measure of each exterior angle of a regular polygon is 18°. How many sides does it have?

Ch 1-4 Review(20) (21)AD5 611 7 8 10 9 1213 15 G 16 14FE12A87910FE12115643B1243CDBCGiven: DF = EG , ∠ 15 ≅ ∠ 16 , ∠ 2 ≅ ∠ 4Given: AF ⊥ BC , DE ⊥ BCAC = BD , AF = DEProve: BD = ECProve: AB = CD(22) (23)AB57689 10EAD43F7 89 1056EBC1243D1 2CGiven: ∠ 2 ≅ ∠ 4 , ∠ 5 ≅ ∠ 7Prove: ∠ ACD ≅ ∠ BDCGiven: AD = BE , CD = CEProve: AF = BF