what does postulate 1.1 describe
through any two points there is exactly one line
what is a segment
a part of a line with two endpoints
what are parallel lines
lines in the same plane that never meet
what are parallel planes
these are two planes that never intersect
the opposite edges of a door frame are what kind of lines
what does postulate 1.2 describe
if two lines intersect, then they intersect in exactly one point
what is a ray
a part of a line with one endpoint and extends forever in one direction
what are perpendicular lines
lines that intersect to form a right angle
a plane and a line intersect in exactly this many points
one
the intersection of a laptop screen and the keyboard base forms what kind of planes
perpendicular planes
what does postulate 1.3 describe
if two planes intersect, then they intersect in exactly one line
what do two rays equal when put together
a line
what are skew lines
lines that do not intersect and are not in the same plane
when a vertical wall meets the floor at a right angle, the wall and the floor are what
perpendicular planes
the lines on a railroad tracks that never touch are an example of what
parallel lines
what does postulate 1.4 describe
through any three noncollinear points there is exactly one plane
If RS = 3x + 1, ST = 2x - 2, and RT = 64, find the value of x
x = 13
true or false: two lines in space that never intersect are always parallel
false
give an example of two parallel planes in this classroom
the floor and the ceiling
the edge of a book standing upright and the edge of a shelf not touching it form what lines
skew lines
what does postulate 1.6 (segment addition postulate) describe
if three points A, B, and C are collinear and B is between A and C, then AB + BC = AC
if RS = 8y + 4, ST = 4y + 8, and RT = 15y - 9, find the value of y
y = 7
A wall is perpendicular to the floor. The edge of a rug is parallel to the wall. What is the relationship between the rug and the floor?
parallel
where do two planes intersect
a line
name two perpendicular segments in a soccer field
endlines