Geometry Chapter 6 Review Classify each statement as

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Geometry Chapter 6 Review

Geometry Chapter 6 Review

Classify each statement as true or false. 1) If a > b and c>

Classify each statement as true or false. 1) If a > b and c> d, then a + b > c + d. FALSE 2) If B is on AC, then AB + BC > AC. FALSE 3) If x > y and y> 0, then xy> 0 TRUE 4) If S is in the interior of PQR, then m PQR > m SQR TRUE

Suppose you plan to write an indirect proof of the statement: If n >

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

Indirect Proof: Given: 5 x + 5 = 25 Prove: x = 3 Assume

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

Complete each statement by writing <, =, or >. < 1) If m F

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

In rectangle RECT, the diagonals intersect at M, m RMT = 88, and m

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

R or T In triangle RST, m 1 > m . > In triangle

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

Complete the statements by writing <, =, or >. B 15 E 12 40

Complete the statements by writing <, =, or >. B 15 E 12 40 42 1 A 60 58 C D G F 14 2 12 > < < 1) AB AC 2) DG GF 3) m 1 m 2

What can you deduce? Name theorem. F 18 G 88 E 92 18 D

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

t a 2 1 b Complete the indirect proof Given: Transversal t cuts lines

t a 2 1 b Complete the indirect proof Given: Transversal t cuts lines a and b; a is not parallel to b Prove: 1 and 2 are not supplementary Proof Angles 1 and 2 are supp. Assume temporarily that 1) ________________. a//b. Then 2)___________ since if two lines are cut by a transversal and same-side interior angles are supplementary the lines are parallel. a is not // to b. But this contradicts the given information that 3) . Angles 1 and 2 are supp. Therefore the temporary assumption that 4) ________________ must be false. Angles 1 and 2 are not supp. Therefore 5) _____________________________.

Fill in the blanks. 24. Given: AB > CD Prove: AC > BD A

Fill in the blanks. 24. Given: AB > CD Prove: AC > BD A B C D Statements Reasons AB > CD GIVEN 1) BC = BC REFLEXIVE PROPERTY 2) AB + BC > BC + CD A PROPERTY OF INEQUALITY AB + BC = AC; BC + CD = BD 3) SEGMENT ADDITION POSTULATE AC > BD 4) SUBSTITUTION

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

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