Download Geometry Cornell Notes-Chapter 1

Geometry
Chapter 1: Points, Lines, Planes and Angles
objectives:
1.1 Points,
-identify and model points, lines and planes
Lines and
-identify collinear and coplanar points intersecting lines and planes in space
Planes
Bell Ringer:
Use your knowledge of geometry to write what you know about the following geometric terms.
Use one sticky note per word. It is okay to use your textbook for assistance
Undefined
Terms
Point
Line
Line segment
Plane
Collinear
Coplanar
Congruent
Intersecting
lines
1
Examples
Point
Line
Plane
Model
Drawn:
Named by:
Facts
Words/Symbols
Example
____________________________________________________________________________
Summary: What did we do in class?
What did we learn in class?
2
objectives:
1.2 Linear
Measure and - compute with measures
Precision
Bell Ringer:
Review vocabulary we discussed in section 1.1. Students will get a paper with one of the terms
from section 1.1 written on back. On the front they have to do one portion of the Frayer Model
related to the word. Then they need to find their group members, put up the portions and
present. The student with the definition is the presenter. Students are encouraged to review
section 1.1 Cornell Notes during presentation and make any needed adjustments.
Review Terms
Line segment
Betweenness
Congruent
Examples Find the measurement of each segment. Assume that the drawing is not to scale.
1.
2.
Find x and RS if S is between R and T.
3.
4.
Summary:
___________________________________________________________________________
What did we learn today? What questions do I have?
Assignment 1.2
page 17,
#12-15,22-39
Complete on
back of notes
3
1.3 Distance
and
Midpoints
Bell Ringer:
objectives:
- find the distance between two points
- find the midpoint of a segment
Algebra Review Slip – Think, Pair, Share
Distance on the
Number Line
Example
Use the number line to find each measure.
1. BD
2. DG
Distance on a
Coordinate
Plane
Method 1: Find the distance between A(-2, -1) and B(1, 3).
Using
Pythagorean
Theorem
Method 2:
Using Distance
Formula
The distance between two points with coordinates
( x1, x 2 ) and ( y1, y 2 ) is
d  ( x2  x1 ) 2  ( y 2  y1 ) 2
4
Example Find the distance between A(-2, -1) and B(1, 3).
Midpoint of a If the coordinates of the endpoints of a segment are a and b,
segment then the coordinate of the midpoint of the segment is
ab
Mid point 
2
Segment
Bisector
Midpoint on
the
Number Line
Use the number line to find the coordinate of
Example the midpoint of each segment.
1. CE
2. DG
If a segment has endpoints with coordinates ( x1 , y1 ) and ( x2 , y2 ) then the formula for the
Midpoint on a
Coordinate midpoint is Midpoint =  x1  x 2 , y1  y 2 
Plane
2 
 2
Example Find the coordinates of the midpoint of a segment having the given endpoints.
E(-2, 6), F(-9, 3)
Summary: What did we learn today? What did I already know? What was new?
Assignment 1.3
page 25 #13-43
odd
5
objective:
-measure and classify angles
-identify and use congruent angles and the bisector of an angle
1.4 Angle
Measure
Bell Ringer: Algebra Review Slip – Think, Pair, Share
(Transparency)
ray
opposite rays
angle
Protractor and
degrees
Right angle
Acute angle
Obtuse angle
Types of angles
Examples
Congruent
angles
Angle bisectors
Assignment 1.4 ____________________________________________________________________________
pg 34 13-27 Summary to be completed on back of notes: What did we learn in class?
odd, 35-39 odd
6
Examples
7
objective:
1.5 Angle
Relationships -identify and use special pairs of angles
Bell Ringer:
-identify and use perpendicular lines
____________________________________________________________________________
Show work & answer here
(Transparency)
Special pairs
of angles
____________________________________________________________________________
Adjacent Angles –
Vertical Angles –
Linear pairs –
Complementary Angles –
Supplementary Angles –
Identify each pair of angles as adjacent, vertical, and/or as a linear pair.
1. 1 and 2
2. 1 and 6
3. 1 and 5
4. 3 and 2
8
Perpendicular
Lines
Examples
5. Find x, mPQS, and mSQR.
Summary: 1) Describe the difference between complementary and supplementary angles in your own
words. _______________________________________________________
________________________________________________________________________
2) Complete each sentence.
a) If two angles are supplementary and x is the measure of one angle, then the measure of the
other is _____________.
a) If two angles are supplementary and x is the measure of one angle, then the measure of the
other is _____________.
Assignment 1.5
page 42 #1116,18,23-29
9
objective:
-Identify and name polygons
-Find perimeters of polygons
____________________________________________________________________________
Bell Ringer: Show work & answer here
(Transparency)
1.6 Polygons
____________________________________________________________________________
What is a
polygon?
Use the
picture to
answer
questions
1 - 6.
1. Name all of the sides of the polygon.
2. Name all of the vertices of the polygon.
3. What is the name of the polygon?
4. Name all of the angles in the polygon.
5. Name all of the diagonals in the polygon.
Convex
Polygon
Concave
Polygon
Regular
Polygon
What is the
name of a
regular
quadrilateral?
10
Types of
polygons
n-gon
perimeter
What is the name of a 21-sided figure?
Examples
Find the length of each side of the polygon for the given perimeter.
1.
2.
Assignment 1.6
page 49 #12-23,
26, 29-33
11
Examples COORDINATE GEOMETRY Find the perimeter of the polygon below.
3. quadrilateral OPQR with vertices O(-3, 2), P(1, 5), Q(6, 4), and R(5, -2)?????
Summary:
What did we do in class?
What did we learn in class?
12