Chapter 1.1

Common Core G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

Objective – To make nets and drawings of three-dimensional figures.

Ch 1.1 Notes

Net– is a two-dimensional diagram that you can fold to form a three-dimensional figure. A net shows all of the surfaces of a figure in one view.

Isometric Drawing – shows a corner view of a three-dimensional figure. It allows you to see the top, front, and side of the figure.

Orthographic Drawing – is another way to represent a three-dimensional figure. This drawing shows three separate views: a top view, a front view, and a right-side view.

Chapter 1.2

Common Core G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

Objective – To understand basic terms and postulates of geometry.

Ch 1.2 NotesUndefined Terms – we just describe them

Point – indicates a location & has no size, represented by a small dot, (position in space)Line – is represented by a straight path that extends in tow opposite directions without end and has no thickness. A line contains infinitely many points.Plane – is represented by a flat surface that extends without end and has no thickness, A plane contains infinitely many lines.

Point

Plane

Ray

Opposite Rays

Line

Line Segment

Definitions

Collinear Points – are points all on the same line

Coplanar Points – are points all of the same plane

Intersect – if two or more figures have one or more points in common

Intersection – is the set of points the figures have in common

Postulates or Axioms – are rules that are accepted without proof

Postulate 1.1 – Through any two points there is exactly one line.

Postulate 1.2 – If two distinct lines intersect, then they intersect in exactly one point

Postulate 1.3 – If two distinct planes intersect, then they intersect in exactly one line.

Postulate 1.4 – Through any three points there is exactly one plane.

Chapter 1.3

Common Core G.CO.1 & G.GPE.6 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

Objective – To find and compare lengths of segments.

Ch 1.3 NotesPostulate 1.5 – Every point on a line is paired

with a real number called a coordinate.

Postulate 1.6 – Segment Addition Postulate

Lengths are equal Segments are congruentAB = AD AB = AD“is equal to” “is congruent to”

Distance – between two points is the absolute value of the difference of their coordinates.

Midpoint – of a segment is a point that divides the segment into two congruent segments.

Segment Bisector – is a segment or line that cuts a segment into two equal parts.

Chapter 1.4

Common Core G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

Objective – To find and compare the measures of angles.

Ch 1.4 Notes

Angle – consists of 2 different rays that have the same initial point

Measures are equal Angles are congruent

Postulate 1.8 – Angle Addition Postulate

Classifying angles by their measureAcute angle –Right angle –Obtuse angle –Straight angle –

Chapter 1.5

Common Core G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

Objective – To identify special angle pairs and use their relationships to find angle measures.

Ch 1.5 NotesAdjacent Angles – are 2 angles that share a

common vertex and side, but do not have any common interior points in common

Vertical Angles – are two angles whose sides are opposite rays

Complementary Angles – are two angles whose measure have a sum of 90.

Supplementary Angles – are two angles whose measure have a sum of 180.

Linear Pair – is a pair of adjacent angles whose noncommon sides are opposite rays.

Angle Bisector – is a ray that divides an angle into two congruent angles.

Postulate 1.9 – If two angles form a linear pair, then they are supplementary.

Chapter 1.6

Common Core G.CO.12 & G.CO.1 Make formal geometric constructions with a variety of tools and methods

Objective – To make basic constructions using a straightedge and a compass.

Ch 1.6 NotesPerpendicular Lines – are two lines that intersect to form right angles.

Perpendicular Bisector – cuts a line segment into two equal parts by a perpendicular segment, line, or ray.

Construct the Perpendicular Bisector

Construct the Angle Bisector

Chapter 1.7

Common Core G.GPE.4, G.GPE.7 & G.GPE.6 Use coordinates to prove simple geometric theorems algebraically.

Objectives – To find the midpoint of a segment. To find the distance between two point in the coordinate plane.

Ch 1.7 Notes

Midpoint Formula –

Distance Formula -

Chapter 1.8

Common Core N.Q.1 Use units as a way to understand problems and to guide the solution of multistep problems; choose and interpret units consistently in formulas.

Objectives – To find the perimeter or circumference of basic shapes. To find the area of basic shapes.

Ch 1.8 NotesSquare - P =

A =

Rectangle – P = A =

Triangle - P =A =

Circle - C = A =