Download Chapter 1 Vocabulary

Chapter 1 Vocabulary
1.1
Name __________________
point
line
point –
line –
plane
plane –
collinear –
coplanar –
Segment AB
line segment –
endpoints –
congruent segments –
midpoint –
bisector –
ray AB
ray –
1.2
angle –
vertex –
measure of an angle –
congruent angles –
protractor –
angle bisector –
angle ABC
Chapter 1 Vocabulary
Name __________________
1.3
counter example –
parallel –
perpendicular –
“skew” lines –
right angle –
acute angle –
obtuse angle –
pair of vertical angles –
linear pair of angles –
pair of complementary angles –
pair of supplementary angles –
pair of vertical angles
linear pair of angles
pair of complementary
angles
pair of supplementary
angles
Chapter 1 Vocabulary
Name __________________
1.4
polygon
polygon –
side –
vertex –
consecutive –
diagonal of a polygon –
Sides
Name
3
convex polygon –
concave polygon –
congruent polygons –
“If polygons are congruent, then _______________________________
4
5
6
7
8
9
10
11
__________________________________________________________.
12
“If corresponding sides and angles are congruent, then
n
__________________________________________________________.
equilateral polygon
equilateral polygons –
equiangular polygons –
equiangular polygon
regular polygons –
Chapter 1 Vocabulary
Name __________________
1.5
right triangle –
acute triangle –
obtuse triangle –
scalene triangle –
Isosceles Triangle
equilateral triangle –
isosceles triangle –
vertex angle –
base –
base angle –
trapezoid –
trapezoid
kite –
kite
parallelogram –
parallelogram
rhombus –
rhombus
rectangle –
square –
rectangle
Chapter 1 Vocabulary
Name __________________
1.7
circle –
circle
radius –
diameter –
congruent circles –
concentric circles –
Types of arcs
arc of a circle –
H
G
semicircle –
K
minor arc –
I
major arc –
arc measure –
central angle –
R
O
Q
chord –
S
P
diameter –
tangent line –
Chapter 1 Vocabulary
Name __________________
1.8
space –
isometric drawing –
prism
pyramid
cylinder
cone
sphere
hemisphere
Chapter 1 Vocabulary
Name __________________
1.1
point – an undefined term – it has no size, only location and is 0-dimensional
line – an undefined term – a straight arrangement of infinitely many points – a line has no thickness so it
is 1-dimensional
plane – an undefined term – a flat surface that extend infinitely. It has length and width, so it is 2dimensional
collinear – lying on the same line
coplanar – lying in the same plane
line segment – two points (the endpoints) and all the points between them that are on the line containing
them; the measure of a line segment is its length
endpoints – the points at the ends of a line segment or arc
congruent segments – two or more segments that have the same length
midpoint – the point on the line segment that is the same distance from both endpoints
bisector – a point, segment or line that divides the segment into two congruent parts
ray – all the points on a line that lie on one side of a specified point (the ray’s endpoint) – named by two
letters
1.2
angle – two noncollinear rays (the sides of the angle) having a common endpoint (the angle’s vertex)
Picture
vertex – a point of intersection of two or more rays or line segments in a geometric figure
measure of an angle – the smallest amount of rotation about the vertex from one ray to the other
(measured in degrees)
congruent angles – two or more angles with the same measure
protractor – a geometry tool you use to measure an angle
angle bisector – a ray that has the vertex of the angle as its endpoint, and that divides the angle into two
congruent angles.
Chapter 1 Vocabulary
Name __________________
1.3
counterexample – an example that shows that a conjecture is incorrect or that a definition is inadequate
“skew” lines – lines that are not in the same plane and do not intersect but are not parallel
right angle – an angle that measures 90 degrees
acute angle – an angle that measures less than 90 degrees
obtuse angle – an angle that measures more than 90 degrees but less than 180 degrees
pair of vertical angles – angles formed by two intersecting lines, they share a common vertex but not a
common side
linear pair of angles – two angles that share a vertex and a common side, and their non-common sides
form a line
pair of complementary angles – two angles that have a sum of 90 degrees
pair of supplementary angles – two angles that have a sum of 180 degrees
1.4
polygon – a closed figure in a plane, formed by connecting line segments endpoint to endpoint with each
segment intersecting exactly two others
side – each line segment of the polygon
vertex – each endpoint where the sides meet
consecutive – successive, following one after another
diagonal of a polygon – a line segment connecting two non-consecutive vertices of a polygon or
polyhedron
convex polygon – a polygon having no diagonal lying outside the polygon
concave polygon – a polygon having at least one diagonal lying outside the polygon; not convex
congruent polygons – two polygons that are identical in shape and size – each corresponding side must
be congruent and each corresponding angle must be congruent
equilateral polygons – a polygon whose angles are congruent
equiangular polygons – a polygon whose angles are congruent
regular polygons – a polygon that is both equilateral and equiangular
Chapter 1 Vocabulary
Name __________________
1.5
right triangle – a triangle with one right angle
acute triangle – a triangle with three acute angles
obtuse triangle – a triangle with one obtuse angle
scalene triangle – a triangle with three sides of different lengths (no congruent sides)
equilateral triangle – a triangle whose sides are congruent
isosceles triangle – a triangle with at least two congruent sides.
trapezoid – a quadrilateral with exactly one pair of parallel sides
kite – a quadrilateral with exactly two distinct pairs of congruent consecutive sides
parallelogram – a quadrilateral in which both pairs of opposite sides are parallel
rhombus – an equilateral parallelogram
rectangle – an equiangular parallelogram
square – an equiangular rhombus; an equilateral rectangle
1.6
circle – the set of all points in a plane at a given
radius – a line segment from the center to a point on a circle or a sphere
diameter1 – a chord of a circle that contains its center
congruent circles – two circles with the same radius
concentric circles – circles with the same center
arc (of a circle) – two points on the circle (the endpoints of the arc) and the points of the circle between
them
semicircle – an arc of a circle included by a diameter
minor arc – an arc whose measure is less than the measure of a semicircle
major arc – an arc whose measure is greater than the measure of a semicircle
arc measure – the measure of the central angle that intercepts an arc, measured in degrees
Chapter 1 Vocabulary
Name __________________
central angle – an angle whose vertex is the center of a circle and whose sides pass through the endpoints
of a chord or arc
chord – a line segment whose endpoints lie on a circle
diameter2 – the longest chord in a circle
tangent line – a line that lies in the plane of a circle and that intersects the circle at exactly one point (the
point of tangency)
1.8
space – an undefined term – the set of all points, usually taken to be three-dimensional
isometric drawing – a type of drawing that shows three faces of a three-dimensional object in one view
prism – a polyhedron with two congruent polygons in parallel planes as bases. Line segments (lateral
edges) connect the corresponding bases to form lateral faces
pyramid – a polyhedron with a polygon base and line segments connecting the vertices of the base with a
single point (the vertex) that is not coplanar with the base
cylinder – a solid whose surface consist of all points on two circles in two parallel planes, along with
points in their interiors (the bases of the cylinder) and all points on line segments joining the two circles.
cone – a solid whose surface consists of a circle and its interior and all the points on line segments that
connect points on the circle to a single point (the vertex)
sphere – the set of all points in space at a given distance (the radius) from a given point (the center)
hemisphere – half of a sphere including a great circle as its base