Download Process Grid - Geometry - ESL Consulting Services

Definition(s)
Geometric
Figure – a set of
points in space
Geometric
Figures
(pictorial)
line – a straight
path that extends
forever in
opposite
directions
Lines
(graphic
organizer)
Parts
All geometric
figures have at
least one point
Types
point – exact
location in space
line – a straight
Dimension – an path that extends
object’s
forever in opposite
measurements
directions
ray – part of a line;
Zero dimension one endpoint and
– point
extends forever in
One dimension
one direction
– line
line segment – part
Two dimensions of a line or ray;
– plane
extends between
Three
two endpoints
dimensions plane – a perfectly
cube
flat surface that
extends forever in
all directions
-At least 2
parallel lines –
points
lines in a plane that
-Arrows to show do not intersect
it goes on
perpendicular
forever
lines – lines that
intersect to form
right angles
intersecting lines –
lines that cross at
exactly one point
skew lines – lines
that are in different
planes that are
neither parallel nor
intersecting
How to Name
point A
(capital letter for all points!)
AB
AB
AB
plane ABC
AB II CD
AB  CD
Angle – a figure
formed by two
rays with a
common
endpoint called
the vertex
Angles
(expert group)
Acute - less than
90°
Right - 90°
Obtuse - more than
90°, less than 180°
Straight - 180°
A
1
BAD
DAB
mA  ____
Use a
protractor to
measure angles
Congruent
angles – have
the same
measure
How do two
angles relate to
each other?
Angle
Relationships
(expert group)
-two rays
-vertex
1  2
- 2 angles
Complementary –
two angles whose
measures add to 90°
Supplementary –
two angles whose
measures add to
180°
Vertical – opposite
angles formed by
intersecting lines;
vertical angles are
always congruent
mA = 30°
mB = 60°
mC = 120°
A and B are
complementary
angles.
 B and C are
supplementary
angles.
Circle – the set
of all points in a
plane that are the
same distance
from a given
point called the
center.
Circles
(expert group)
center – the
point inside a
circle that is the
same distance
from all the
points on the
circle
radius – a line
segment with
one endpoint at
the center of a
circle and the
other endpoint
on the circle
diameter – a
line segment
that passes
through the
center of a circle
and has
endpoints on the
circle
chord – a line
segment with
endpoints on a
circle
central angle –
an angle with its
vertex at the
center of a
circle.
No categories
for circles.
Circles can be
different sizes
depending on
the lengths of
their radii and
diameters.
Circle with
center C.
Radii AC
BC
Diameter –
AB
Chord –
BD
Polygon – a
closed plane
figure formed by
three or more
line segments
that intersect
only at their
endpoints
(vertices)
-vertices (plural
for vertex); also
called corners or
endpoints
-sides – line
segments
between two
vertices
-angles – at
each vertex
Polygons
(expert group)
Triangle – a
three-sided
polygon
Triangles
(comparative)
-3 vertices
-3 angles
regular – all
sides congruent,
all angles
congruent
irregular –
sides and angles
are not
congruent
convex – all
corners pointing
out
concave – at
least one corner
pointing in
triangle
quadrilateral
pentagon
hexagon
heptagon
octagon
nonagon
decagon
n-gon
Angles
Acute – all
acute angles
Right – one
right angle
Obtuse – one
obtuse angle
Sides
Equilateral –
all sides are
congruent
Isosceles – two
sides are
congruent
Scalene – all
three sides have
different
measurements
ALL
TRIANGLES
HAVE TWO
NAMES
To write the
name of a
polygon, write
out the type of
polygon it is,
followed by
capital letters
from
consecutive
vertices.
pentagon
ABCDE
For triangles, we
can sketch a
triangle instead
of writing out
the word
triangle.
ABC is an
equilateral,
acute triangle
Quadrilateral – a
four-sided
polygon
Quadrilaterals
(comparative)
-4 vertices
-4 angles
Any shape with
4 sides is a
quadrilateral.
Some
quadrilaterals
have special
names:
Trapezoid –
one set of
parallel sides
Kite – two sets
of adjacent,
congruent sides
Parallelogram
– two sets of
parallel sides,
opposite sides
are equal
Rectangle –
four right
angles, opposite
sides are equal
and parallel
Rhombus – four
congruent sides,
two sets of
parallel sides,
opposite angles
are congruent
Square – two
sets of parallel
sides, 4
congruent sides,
4 right angles
To write the
name of a
polygon, write
out the type of
polygon it is,
followed by
capital letters
from
consecutive
vertices.
Identify the type
of quadrilateral
when naming it.
Quadrilateral
SEAT
Square TUVW