Geometry Fundamentals Overview
Bellwork:
1.
Draw the Net of the Triangular Prism on the
right
2.
Create an Isometric Drawing of any shape
AND IDENTIFY what shape it is
3. Graph the points (0,0), (8,10), and (4,6)
Are they collinear?
1.2-Points, Lines,
and Planes(Cont.)
How to name things…
Lines?
Points?
Planes?
Segments?
Rays?
Postulates
Postulate 1-1
Through any two points there is exactly one line
Postulate 1-2
If two distinct lines intersect, they do so in exactly one point
What about Planes?
What is the intersection
of planes BFE and FEH?
In general, what is the
intersection of two
planes?
Postulate 1-4
Through any three non-collinear points there is
exactly one plane
1.3 – Measuring Segments
What is a
Coordinate
?
How do we find the distance between
two points?
How do we cut a segment in half?
So, what IS a coordinate?
2D Coordinates
3D, too!
Measuring Segment Lengths
To find the distance between two
coordinates (in 1D) find the absolute value
of the difference in coordinates
What is the distance between point A
and B?
A
A
B
B
Postulate 1-6
If A,B, and C are collinear points, and B is between
A and C, then AB+BC=AC
Using Postulate 1-6
What is the length of AC?
If AC=62, find AB and BC
If AC=232, find AB and BC
5x+3
5x+3
10
10
x+4
x+4
Definition
Two objects are said to be
congruent
when they are similar. If two figures are
congruent, they will appear the same
when superimposed
Two line segments are congruent when
they have the same length
Problem 3 – page 22
A
A
B
B
C
C
D
D
Definition:
The
Midpoint
of a segment is the point that
divides the segment into two congruent
segments.
A point, line, ray, or other segment that
intersects a segment at its midpoint is said
to
bisect
the segment. That point, line, ray,
or segment is called a
segment bisector
Using the Midpoint: Problem 4 –
page 23
Homework:
Section 1.1: 17, 20, 22
Section 1.2: 8, 9, 12, 15, 33, 53, 65, 75,
78
Section 1.3 : 9, 13, 17, 20, 35, 37
Online textbook: pearsonrealize.com
Username: student_ID@edu.leonschools.net. This is actually the
students' computer login information as well.
Password is: Lcs6789! Students can change passwords when they
are in the system.
Explore key concepts in geometry such as points, lines, planes, segments, and measurements. Learn about postulates, coordinates in 2D and 3D, and calculating distances between points.
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Presentation Transcript
Bellwork: 1. Draw the Net of the Triangular Prism on the right 2. Create an Isometric Drawing of any shape AND IDENTIFY what shape it is 3. Graph the points (0,0), (8,10), and (4,6) Are they collinear?
1.2-Points, Lines, and Planes(Cont.)
How to name things Lines? Points? Planes? Segments? Rays?
Postulates Postulate 1-1 Through any two points there is exactly one line Postulate 1-2 If two distinct lines intersect, they do so in exactly one point What about Planes?
What is the intersection of planes BFE and FEH? In general, what is the intersection of two planes?
Postulate 1-4 Through any three non-collinear points there is exactly one plane
1.3 Measuring Segments What is a Coordinate? How do we find the distance between two points? How do we cut a segment in half?
Measuring Segment Lengths To find the distance between two coordinates (in 1D) find the absolute value of the difference in coordinates
What is the distance between point A and B? A B
Postulate 1-6 If A,B, and C are collinear points, and B is between A and C, then AB+BC=AC
Using Postulate 1-6 What is the length of AC?
If AC=232, find AB and BC 5x+3 10x+4
Definition Two objects are said to be congruent when they are similar. If two figures are congruent, they will appear the same when superimposed Two line segments are congruent when they have the same length
Problem 3 page 22 Are ?? and ?? congruent? A B C D
Definition: The Midpoint of a segment is the point that divides the segment into two congruent segments. A point, line, ray, or other segment that intersects a segment at its midpoint is said to bisect the segment. That point, line, ray, or segment is called a segment bisector
Using the Midpoint: Problem 4 page 23 If we know that Q is the midpoint of ??, how can we find PQ, QR, and PR?
Homework: Section 1.1: 17, 20, 22 Section 1.2: 8, 9, 12, 15, 33, 53, 65, 75, 78 Section 1.3 : 9, 13, 17, 20, 35, 37
Online textbook: pearsonrealize.com Username: student_ID@edu.leonschools.net. This is actually the students' computer login information as well. Password is: Lcs6789! Students can change passwords when they are in the system.
