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
If x > y and y> 0, then xy> 0
4) If S is in the interior of PQR, then mPQR > mSQR
TRUE
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. Complete each statement by writing <, =, or >.
1) If mF > mG, then FH HG. 
2) If m 3 > m4, then FH HG. 
< 2 3 4 F G J H
>
>
3) If FH < HG, then m m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. In triangle RST, m1 > m .
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
If m1 = 135 and mR = 60, then the longest side of triangle
RST is _________________________________.
3;27 RS

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

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

10. Angles 1 and 2 are supp. a//b. a is not // to b.
Complete the indirect proof
Prove: 1 and 2 are not supplementary
Proof
Assume temporarily that 1) ________________________________.
Then 2)_____________________ since if two lines are cut by a transversal and same-side interior angles are supplementary the lines are parallel.
But this contradicts the given information that 3)
Therefore the temporary assumption that 4) _______________________________ must be false.
Therefore 5) __________________________________________________________.
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. 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

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