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Preparing for the Regents Examination Geometry, AK

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Essentials of <strong>Geometry</strong><br />

1-1 Undefined Terms<br />

(page 2)<br />

1 (1) finite<br />

2 (2) infinite<br />

3 (3) empty<br />

4 A B<br />

5 A given line lies on an infinite number of<br />

planes.<br />

6 a and b<br />

m<br />

1-2 Real Numbers and<br />

Their Properties<br />

(pages 4–5)<br />

1 (4) 8<br />

2 (4) 5<br />

3 (3) 0n 0<br />

4 (1) a(b c) ab ac<br />

5 (1) additive inverse<br />

6 Commutative<br />

7 Multiplicative identity<br />

8 Commutative<br />

9 Additive identity<br />

10 Associative<br />

11 Associative<br />

<br />

p<br />

CHAPTER<br />

1<br />

12 Commutative<br />

13 Distributive<br />

14 Additive inverse<br />

15 Distributive<br />

16 Multiplicative inverse<br />

17 1<br />

18 0<br />

19 0<br />

20 Division by zero is undefined.<br />

1-3 Lines and Line<br />

Segments<br />

(pages 6–7)<br />

1 8<br />

2 4<br />

3 −−<br />

BD and −−<br />

CE<br />

4 They must all lie on <strong>the</strong> same line.<br />

5 They <strong>for</strong>m a triangle.<br />

6 Point S is <strong>the</strong> midpoint. It is halfway between<br />

P and T.<br />

7 Correct. The length of −−<br />

AB is equal to <strong>the</strong><br />

length of −−−<br />

CD .<br />

8 Incorrect notation<br />

9 Incorrect notation<br />

10 Correct. −−<br />

AB is congruent to −−−<br />

CD .<br />

11 −−−<br />

CPD bisects −−−<br />

APB . It divides it into two segments<br />

with <strong>the</strong> same measure, 7.<br />

12 MS 6<br />

1-3 Lines and Line Segments 1

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