Point, Lines, and Planes
A (blank) is a flat surface made up of points that
extends infinitely in all directions.
Plane
A (blank) is a measurable part of a line that
consists of two points, called endpoints, and all of the
points between them. The two endpoints are used to
name the segment.
line segment
The (blank) of a segment is the point halfway between the
endpoints of the segment.
midpoint
A (blank) is any sentence that is either true T or false.
statement
Given: If three points are noncollinear, then they determine a plane.
Points A, B, and C lie in plane G.
Conclusion: Points A, B, and C are noncollinear.
A. Valid; points A, B, and C determine plane G. Therefore, they are
noncollinear.
B. Valid; because points A, B, and C are noncollinear, they determine
plane G.
C. Invalid; points A, B, and C determine plane G. Therefore, they are
noncollinear.
D. Invalid; points A, B, and C can be collinear and lie in plane G.
(blank) is defined as a boundless three-dimensional set of
all points. Space can contain lines and planes
Space
The (blank) between two points is the length of the
segment between the points. The coordinates of the
points can be used to find the length of the segment.
distance
A point is (blank) from other
points if it is the same distance from them.
equidistant
(blank) is the truth or falsity of a statement.
Statements are often represented using a letter such as p or q.
truth value
If it rains, then flowers will grow. It rains.
Flowers will grow
(blank) points are points
that lie on the same line.
Noncollinear points do not
lie on the same line.
Collinear
Determine Segment Congruence
ᵃᵃ = ᵆ2 ‒ ᵆ1
= ‒3 ‒(‒1)
= 2
= ‒2.
Distance Formula
Simplify
Subtract
Substitute
Because the midpoint separates a segment into two
congruent segments, we can say that the midpoint (blank) the segment.
bisects
If a statement is represented by p, then not p is the (blank) of the statement.
negation
The difference between the measures of two supplementary angles
is 18°. The measure of the smaller angle is (blank), and the measure of
the larger angle is (blank).
81 degrees
99 degress
(blank) points are points
that lie in the same plane.
Noncoplanar points do not lie
in the same plane
Coplanar
ᵄᵄ + ᵄᵄ = ᵄᵄ (blank)
11.3 + 3.8 = ᵄᵄ (blank)
15.1 cm = ᵄᵄ (blank)
Betweenness of points
Substitution
Add.
1. 32 = 9 52 = 25 112 = 121 172 = 289
The square of an odd number is an (blank) number.
2. 42 = 16 82 = 64 142 = 196 202 = 400
The square of an even number is an (blank) number.
3. 2 + 5 = 7 15 + 4 = 19 22 + 13 = 35 14 + 37 = 51
The sum of an odd number and an even number is an (blank) number.
odd
even
odd
Two or more statements joined by the word and or or form a (blank).
compound statement
vertical goes (blank)
up and down
In geometry, (blank) , (blank) , and (blank) are considered
undefined terms because they are usually readily
understood and are not formally explained by means of
more basic words and concepts.
point, line, and plane
Find the distance between each pair of points.
1. –35 and 21 on a number line
2. A(5, 0) and B(8, 0)
3. M(6, –2) and N(6, 8)
4. X(4, 4) and Y(9, 16)
Find the distance between each pair of points.
1. –35 and 21 on a number line 56 units
2. A(5, 0) and B(8, 0) 3 units
3. M(6, –2) and N(6, 8) 10 units
4. X(4, 4) and Y(9, 16) 13 units
Make a conjecture about the sum of two odd numbers.
The sum of two odd numbers is always an (blank) number.
even
A compound statement using the word
and is called a (blank).
conjunction
horizontal goes
side ways