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Preparing for the Regents Examination Geometry, AK

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5 (3) (x, y) → (x, 2y)<br />

6 (1) translation<br />

7 (1) rotation<br />

8 (1) A<br />

9 (4) D<br />

10 (2) (5, 4)<br />

11 (3) reflection in <strong>the</strong> line y x<br />

12 (2) (x, y) → (4x, 2y)<br />

13 (4) y 0<br />

14 (3) r x 1 r y-axis<br />

15 (1) _ 1<br />

2<br />

16 (4)<br />

17 (3) (6, 1)<br />

18 5<br />

19 13<br />

20 2 √ 10<br />

21 13<br />

22 3 √ 10<br />

23 (1, 1)<br />

24 (2, 6)<br />

25 (3, 0)<br />

26 (4, 1)<br />

27 r y x (1, 8) (8, 1)<br />

Polygon Sides and<br />

Angles<br />

7-1 Basic Inequality<br />

Postulates<br />

(pages 125–126)<br />

Note: Since <strong>the</strong>re are many variations of proofs,<br />

<strong>the</strong> following is simply one set of acceptable<br />

statements to complete each proof. Depending<br />

on <strong>the</strong> textbook used, <strong>the</strong> wording and <strong>for</strong>mat<br />

of reasons may differ, so <strong>the</strong>y have not been<br />

supplied <strong>for</strong> <strong>the</strong> method of congruence applied<br />

34 Chapter 7: Polygon Sides and Angles<br />

28 (4, 9)<br />

29 a (2, 2)<br />

b (4, 0)<br />

c (2, 2)<br />

d (2, 2)<br />

e (3, 2)<br />

30 a and c<br />

H<br />

C<br />

10<br />

8<br />

6<br />

4<br />

2<br />

14 12 10 8 6 4 2<br />

2 4 6 8 10 12<br />

T"(8, 2)<br />

14<br />

2<br />

b r y x<br />

C"(2, 10)<br />

4<br />

6<br />

8<br />

10<br />

y<br />

T<br />

C'(4, 3)<br />

CHAPTER<br />

7<br />

T'(9, 1)<br />

H'(10, 3)<br />

in each problem. (These solutions are intended<br />

to be used as a guide— o<strong>the</strong>r possible solutions<br />

may vary.)<br />

1 1. m1 m2<br />

2. m2 m1<br />

3. m2 m3<br />

4. m3 m2<br />

5. m3 m1 ( Transitive postulate of<br />

inequality)<br />

6. m1 m3<br />

H"(10, 10)<br />

x

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