Geometry Review Answers

2.4 & 2.5 Review Name the property that the statement illustrates. 1) If PQ  RS , then RS  PQ. 2) If x  y , then  2 x   2 y. 3) If m A  m B and m B  42, then m A  42. 4)  A   A 5) If x  y, then 2 x  6  2 y  6. 6) If m A  mB and mB  42, then m A  10  52. Use the property to copy and complete the statement. 7) Multiplication Property of Equality: 8) Transitive Property: If m J  30, then 2m J  _____. If 3x + y = 7 and 7 and 5x – 2y , then _________= ________ 9) Addition Property of Equality: 10) Reflexive Property of Equality: 11) Symmetric Property: 12) Distributive Property: If m J  30, then m J  m K  _____. GH  _____ If 3 x  7  30, then _____  _____  30. If m∠6 = m∠7, then _______ = ________ Solve the equation. (on a separate piece of paper) Justify each step 13) 6x – 11 = -35 14) -2p – 9 = 10p – 17 15) 4 = -10b + 6(2 – b) Finish in the two-column proof Given T is the midpoint of SU Prove x=5 Statements Reasons a) _________________________________ a) ____________________________________________________________ b) _________________________________ b) c) 7x = 3x + 20 d) __________________________________ e) x=5 Definition of midpoint c) ____________________________________________________________ d) ___________________________________________________________ e) ___________________________________________________________ bisects ∠AFC Given ∠CFD ≅ ∠BFC Prove ∠ AFB = ∠CFD Statements Reasons a) _________________________________ a) ___________________________________________________________ b) _________________________________ b) c) _________________________________ c) ___________________________________________________________ = ∠CFD d) __________________________________________________________ d) ∠ AFB Definition of bisects 2.6 Review Finish in the two-column proof Given ∠1 and ∠2 are supplementary ∠1 and ∠3 are supplementary Prove ∠2 ≅ ∠3 Statements Reasons a) _________________________________ a) ___________________________________________________________ b) _________________________________ b) c) _________________________________ c) ___________________________________________________________ d) __________________________________ d) __________________________________________________________ e) ∠1 + ∠2 ≅ ∠1 + ∠3 f) __________________________________ Definition of Supplementary e) __________________________________________________________ f) Subtract _______________________________________________ Finish in the two-column proof Given ∠1 is a right angle ∠5 is a right angle Prove ∠3 ≅ ∠8 Statements Reasons a) _________________________________ a) ____________________________________________________________ b) _________________________________ b) c) _________________________________ c) ____________________________________________________________ d) __________________________________ d) ____________________________________________________________ e) __________________________________ e) f) 90° + ∠8 = 180° g) _________________________________ h) ∠3 ≅ ∠1 i) _________________________________ j) ∠3 ≅ ∠8 Definition of right angle Definition of linear pair f) _____________________________________________________________ g) Subtract ________________________________________________ h) ____________________________________________________________ i) Substitution Property j) _____________________________________________________________