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Preparing for the Regents Examination Geometry, AK

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6-3 Line Reflections and<br />

Symmetry<br />

(pages 100–101)<br />

1 (3) A<br />

2 (3) V<br />

3 (1) only vertical line symmetry<br />

4 (2) 2<br />

5 (3) (4, 7)<br />

6 y-axis<br />

7 both<br />

8 x-axis<br />

9 y-axis<br />

10 P’(1, 8)<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

2<br />

3<br />

4<br />

y<br />

5<br />

6<br />

7<br />

8<br />

9<br />

10<br />

P(2, 4)<br />

6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10<br />

1<br />

11 P’(3, 7)<br />

P(3, 3)<br />

P'(3, 7)<br />

P'(1, 8)<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

y<br />

y 2<br />

8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8<br />

1<br />

12 P’(4, 1)<br />

2<br />

3<br />

4<br />

5<br />

6<br />

7<br />

8<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

y<br />

y 2<br />

8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8<br />

1<br />

2<br />

3<br />

4<br />

5<br />

6<br />

7<br />

8<br />

P'(4, 1)<br />

y 2<br />

P(4, 5)<br />

30 Chapter 6: Trans<strong>for</strong>mations and <strong>the</strong> Coordinate Plane<br />

x<br />

x<br />

x<br />

13 (5, 2)<br />

14 (2, 3)<br />

15 (2, 5)<br />

16 A’(2, 1), B’(3, 4), C’(4, 5)<br />

C(4, 5)<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

y<br />

8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8<br />

1<br />

A'(2, 1)<br />

2<br />

C'(4, 5)<br />

3<br />

4<br />

5<br />

6<br />

7<br />

8<br />

B(3, 4)<br />

A(2, 1)<br />

B'(3, 4)<br />

17 G’(0, 0), H’(4, 3), I’(1, 4), J’(5, 2)<br />

5<br />

I'(–1, 4)<br />

4<br />

H'(–4, 3)<br />

3<br />

I(1, 4)<br />

J(–5, 2)<br />

2<br />

1<br />

6<br />

y<br />

H(4, 3)<br />

J'(5, 2)<br />

6 5 4 3 21G<br />

G'1<br />

2 3 4 5 6<br />

1<br />

2<br />

18 A’(3, 3), B’(5, 8), C’(1, 5)<br />

y<br />

10<br />

9<br />

8<br />

7<br />

6<br />

B'(5, 8)<br />

C'(1, 5 5)<br />

4<br />

3A'(3,<br />

3)<br />

B(8, 5)<br />

2<br />

1<br />

6 5 4 3 2 1<br />

1<br />

2<br />

3<br />

4<br />

A(3, 3)<br />

1 2 3 4<br />

C(5, 1)<br />

5 6 7 8 9 10<br />

x<br />

y x<br />

19 Q’(2, 4), Z’(3, 4), D’(1, 2)<br />

5<br />

Z'(3, 4)<br />

4<br />

Z(4, 3)<br />

3<br />

Q'(2, 4)<br />

2<br />

1<br />

D'(1, 2)<br />

6<br />

y<br />

8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8<br />

1<br />

D<br />

Q(4, 2) (2, 1)<br />

3<br />

4<br />

y x<br />

x<br />

x<br />

x

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