Preparing for the Regents Examination Geometry, AK

6 a −−
XZ −−
YZ
b ZXY and ZYX
7 Coordinate of B is 2.
8 mKJL 36
9 G is the midpoint of −−
FH .
10 Bisectors pass through the same point, the
midpoint of the line segment. Distinct parallel
lines have no points in common.
CHAPTER
2
2-1 Statements, Truth
Values, and Negations
(pages 20–21)
1 (2) a false closed sentence
2 (2) a false closed sentence
3 (4) not a statement
4 (1) a true closed sentence
5 (4) 4 3 is not greater than 2.
6 (2) The coat is not blue.
7 (2) false
8 (1) 3 6 7
9 Any open sentence
10 A triangle has three sides.
11 Statistics is the study of analyzing data.
12 Algebra is the study of operations on sets of
numbers.
13 Trigonometry is the study of triangles.
14 Geometry is the study of shapes and sizes.
15 “Chicago is not a city in Indiana.”
Original statement is false.
Negated statement is true.
16 “The sun does not rise in the west.”
Original statement is false.
Negated statement is true.
Logic
11 Straight angles: BCE and ACD
12 DEF
13 Right triangles: ABC and CED
14 CFE
15 −−
BD , −−
FD , −−
FE , and −−
BE are choices.
16 −−
BD
17 “January is not a winter month.”
Original statement is true.
Negated statement is false.
18 “The area of a rectangle is not length times
width.”
Original statement is true.
Negated statement is false.
19 “Each state does not have two senators.”
Original statement is true.
Negated statement is false.
20 “It is not the case that all real numbers are
rational.”
Original statement is false.
Negated statement is true.
2-2 Compound Statements
(pages 23–24)
1 (3) 3 7 10 or 4 7 3
2 (1) Albany is not the capital of New York
and is located on Long Island.
3 (2) 5 is not an odd number or 6 4 12.
4 (4) Daylight saving time ends in November
or the clock is not turned back one hour.
5 False
2-2 Compound Statments 3