Transcript Lesson 1 Contents

Lesson 1-R
Chapter Review
Objectives
• Review chapter
Vocabulary
• none new
Visual Definitions
Points
y
A, B, C, D
Line
k
(-5,5)
k
(6,4)
D
Collinear
(0,1)
A, B, C
Line Segments
BA, BC, AC
Plane
xy coordinate
Coplanar
A, B, C, D
C
A
(-6,-2)
B
x
2 ¼ ½ ¾
3 ¼ ½ ¾
4
Precision
Precision – ½ the smallest unit of
measure on the measuring device
70°F
Smallest Unit of Measure = 1/8 th inch
Precision = (1/8)/2 = 1/16 th inch
60°F
String Length is 2 ¼ ± 1/16 or
between 2 3/16 and 2 5/16 inches long
50°F
1 ¼ ½ ¾
40°F
Smallest Unit of Measure = 2°F
Precision = (2°F)/2 = 1°F
Temperature is 60°F ± 1°F or
between 59°F and 61°F
Whole = Sum of its Parts
Any distance can be broken into pieces and
the sum of those pieces is equal to the whole
distance
14
11
A
B
6
C
D
32
The whole length, AD, is equal to the sum of its
parts, AB + BC + CD
AD = AB + BC + CD
32 = 11 + 14 + 6
Distance and Mid-points Review
Concept
Mid point
Nr line
Formula
Examples
(a + b)
2
(2 + 8)
2
[x2+x1] , [y2+y1]
2
2
Coord Plane
Distance
Nr line
Coord Plane
D=|a–b|
(x2-x1)2 + (y2-y1)2
D=
=5
7 + 1 , 4 + 2 = (4, 3)
2
2
D = | 2 – 8| = 6
D = (7-1)2 + (4-2)2 = 40
Y
(7,4)
a
1
2
D
b
3
4
5
6
7
8
9
(1,2)
∆y
∆x
X
Angles
360º
A
Exterior of angle
Circle
Vertex
(point V)
Interior of angle
AVB or V
V
B
Ray VB
Angles measured in degrees
A degree is 1/360th around a circle
Acute
A
mA < 90º
Right
Obtuse
A
A
mA = 90º
90º < mA < 180º
Names of angles: Angles have 3 letter names (letter on one side, letter of the
vertex, letter on the other side) like AVB or if there is no confusion, like in most
triangles, then an angle can be called by its vertex, V
Vocabulary
Number
of Sides
Polygon
Name
3
4
Triangle
Quadrilateral
5
6
Pentagon
Hexagon
7
8
Heptagon
Octagon
9
Nonagon
10
Decagon
12
Dodecagon
n
N-gon
•
Linear pair – a pair of adjacent angles
whose noncommon sides are opposite
rays (always supplementary)
•
Vertical angles – two non adjacent
angles formed by two intersecting lines
Vertical angles are congruent (measures
are equal)!!
•
Complementary Angles – two angles
whose measures sum to 90°
•
Supplementary Angles – two angles
whose measures sum to 180°
•
Perpendicular – two lines or rays are
perpendicular if the angle (s) formed
measure 90°
Summary & Homework
• Summary:
– xxxx
• Homework:
– study for the test