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S. McMurtrie
NAME _____________________________
The Unit Organizer
4 BIGGER PICTURE
DATE ______________________________
Geometry
2
1
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Chapter 1: Essentials of Geometry
3
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Reasoning and Proof
5 UNIT MAP
1.1 Homework
1.2 Homework
G.2.1.2.1
1.3 Homework
1.1 Identify
Points, Lines,
and Planes
1.7 Perimeter,
Circumference,
Area
Drawing, identifying, and measuring
basic geometrical figures.
G.2.1.2.1
M11.A.2.1.3; M11.B.1.2.4;
M11.C.1.1.1
Pages 1-69
1.4 Homework
G.2.2.1.1
Quiz Quiz 1.1-1.4
1.5 Homework
G.2.2.1.1
1.6 Classify
Polygons
1.2 Use
Segments
and
Congruence
1.6 Homework
G.1.2.1.4
1.7 Homework
G.2.2.2.1; G.2.2.2.4; G.2.2.2.3
Rev Review Worksheet
1.3 Use
Midpoint and
Distance
Formulas
M11.C.2.1.1
1.4 Measure
and Classify
Angles
1.5 Describe
Angle Pair
Relationships
M11.B.1.1.1
7
How do you name geometric figures? (2.9)
What are congruent segments? (2.9)
How do you find the distance and the midpoint between two points in the coordinate plane?
(2.9)
How do you identify whether an angle is acute, right, obtuse, or straight? (2.9)
How do you identify complementary and supplementary angles? (2.9)
How do you classify polygons? (2.9)
How do you find the area and perimeter of a figure? (2.3)
(13.1.11B)
cause/effect
examples
steps
6
UNIT
RELATIONSHIPS
UNIT SELF-TEST
QUESTIONS
Test Chapter 1 Test
McMurtrie
NAME S.
_____________________________
The Unit Organizer
Chapter 1 – Essentials of Geometry
DATE ______________________________
9 EXPANDED UNIT MAP
1.1 Identify
Points, Lines,
and Planes
Point – represented by a
dot, zero dimension
Line – goes on forever in
one direction, one
dimension
Plane – goes on forever in
two directions, represented
by a quadrilateral, two
dimensions
Collinear points – points
in the same line
Coplanar points – points
in the same plane
Segment – a piece of a line
Endpoints – the points on
the end of a segment
Ray – a part of a line that
has an endpoint and goes
forever in one direction
Opposite rays – rays with
a common endpoint that go
in opposite directions
Intersection – the set of
points that are common
between two figures
NEW
UNIT
SELF-TEST
QUESTIONS
10
Drawing, identifying, and
measuring basic geometrical
figures.
1.2 Use
Segments and
Congruence
Postulate – a statement
accepted without proof
Ruler Postulate – a
segment can be measured
using a ruler
Distance – the absolute
value of the difference of
the coordinates of the
endpoints of a segment
Between – if three points
are collinear you can use
this term
Segment Addition
Postulate – you can add
two smaller segments that
are collinear which will be
equal to the length of a
larger segment
Congruent segments –
segments of the same
length
1.6 Classify
Polygons
Pages 1-69
1.3 Use
Midpoint and
Distance
Formulas
Midpoint – the point that
divides a segment into two
congruent segments
Bisector – a segment, line, or
ray that intersects a segment at
its midpoint
Midpoint formula-
M =(
1.7 Perimeter,
Circumference
Area
x z + x 2 y1 + y 2
,
)
2
2
Distance formula-
d = ( x x − x1 ) 2 − ( y x − y z ) 2
1.5 Describe
Angle Pair
Relationships
Polygon – a closed
planar figure made
of segments
Sides – the
segments of a
polygon
Vertex – the
Complementary angles – two endpoints of the
Angle – two rays with a common endpoint
angles whose sum is 90
Vertex – the common endpoint of an angle
segments
degrees
Sides – the rays of an angle
Convex – no points
Protractor Postulate – you can measure an Supplementary angles – two lie in the interior
angles whose sum is 180
angle using a protractor
Equilateral – all
Acute – an angle measuring less than 90
degrees
sides congruent
degrees
Adjacent angles – two angles Equiangular – all
Right – an angle measuring 90 degrees
who share a common side and angles equal
Obtuse – an angle measuring greater than 90 vertex, but no common interior Regular – both
points
degrees but less than 180 degrees
equilateral and
Linear pair of angles – two equiangular
Straight – an angle measuring exactly 180
angles whose noncommon
degrees
Congruent angles – angles that have the same sides are opposite rays
Vertical angles – two angles
measure
Angle Addition Postulate – you can add two whose sides form opposite rays
smaller angles which will be equal to the
measure of a larger angle
1.4 Measure
and Classify
Angles
What symbols do you use when writing different geometrical figures?
What are the names of the polygons based on their number of sides?
How do I use the Segment Addition Postulate and Angle Addition Postulate to solve problems?
Perimeter – the sum
of the lengths of the
sides of a polygon
Area – the amount of
a plane occupied by a
figure
Circumference – the
distance around a
circle
Diameter – a
segment that connects
two points on a circle
Radius – a segment
that connects the
center of a circle to
any point on its
circumference