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Geometry

Geometry. Chapter 6 Review. Classify each statement as true or false . If a > b and c > d , then a + b > c + d .  If B is on AC, then AB + BC > AC. . FALSE. FALSE. TRUE. If x > y and y > 0, then xy > 0 4) If S is in the interior of  PQR, then m  PQR > m  SQR.

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Geometry

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  1. Geometry Chapter 6 Review

  2. Classify each statement as true or false. • If a > b and c> d, then a + b > c + d.  • If B is on AC, then AB + BC > AC.  FALSE FALSE TRUE • If x > y and y> 0, then xy> 0 • 4) If S is in the interior of PQR, then mPQR > mSQR TRUE

  3. Suppose you plan to write an indirect proof of the statement: If n > 10, then 2n + 3 > 23. Write the correct first sentence of the indirect proof. Assume temp. that 2n+3 < 23

  4. Indirect Proof: Given: 5x + 5 = 25 Prove: x = 3 Assume temp that x = 3, then 5x + 5 = 5(3) + 5 = 20 But this contradicts the given that 5x + 5 = 25. Thus our assumption is false, Therefore x does not equal 3.

  5. H 2 1 2 3 4 G F J Complete each statement by writing <, =, or >. 1) If mF > mG, then FHHG.  2) If m3 > m4, then FHHG.  < > > 3) If FH < HG, then m1m2.

  6. In rectangle RECT, the diagonals intersect at M, mRMT = 88, and mRME = 92. Which is longer, RE or RT? __________________________ RE

  7. T 1 R S R or T In triangle RST, m1 > m.  In triangle RST, if RT < RS, then mTmTSR  In triangle RST, if mTSR < mR, then RTST.  > < If RS = 15 and ST = 12, then the length of RT must be greater thanand less than. If m1 = 135 and mR = 60, then the longest side of triangle RST is _________________________________. 3;27 RS

  8. E B 15 40 42 12 14 1 2 D F G 58 60 A C Complete the statements by writing <,=, or >. 12 > < < 1) ABAC 2) DGGF 3) m1m2

  9. What can you deduce? Name the theorem. F E D 18 G 88 92 18 EF>ED by SAS Ineq. Thm

  10. t a 1 b 2 Given: Transversal t cuts lines a and b; a is not parallel to b Angles 1 and 2 are supp. a//b. a is not // to b. Angles 1 and 2 are supp. Angles 1 and 2 are not supp.

  11. Fill in the blanks.

  12. HW • Chapter Review P.235 #1-18 Check your odd answers Look at Powerpoints to study

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