Download Chapter Three - Frankumstein

Chapter 3
Name the following angles:
5
6
Corresponding Angles
(corr s)
If lines are parallel,
then corr s are _______
If lines are parallel,
then corr s are congruent:
(
(
Name the following angles:
1
2
Alternate Interior Angles
(alt-int s)
If lines are parallel
then alt-int s are ________
If lines are parallel
then alt-int s are congruent:
(
)
Name the following angles:
1
2
Same-Side Interior Angles
(s-s int s)
If lines are parallel
then s-s int s are _________
If lines are parallel
then con-int s are supplements:
1
2
m 1 + m 2 = 1800
A(n) __________ triangle has no
congruent sides
A scalene triangle has no
congruent sides
A(n) _________ triangle has at
least 2 congruent sides.
An isosceles triangle has at least
2 congruent sides.
The congruent sides of an
isosceles triangle are called
_________.
The congruent sides of an
isosceles triangle are called legs.
A(n) __________ triangle has 3
congruent sides
An equilateral triangle has 3
congruent sides
A(n) __________ triangle has 3
0
angles less than 90
An acute triangle has 3 angles
0
less than 90
always, sometimes or never?
An equilateral triangle is
__________ an isosceles triangle
An equilateral triangle is
always an isosceles triangle
always, sometimes or never?
An isosceles triangle is
________ an equilateral triangle
An isosceles triangle is
sometimes an equilateral triangle
Name the sides:
hypotenuse
leg
leg
The sum of the interior angles of
0
ANY triangle = ________
The sum of the interior angles of
0
ANY triangle = 180
2
1
m 1 + m 2 + m 3 = 1800
3
m 4 = ______ + _______
2
1
3 4
m 4=m 1 + m 2
80
40
60
120
Is the following polygon convex
or concave?
concave
Always, sometimes or never?
1. A triangle is ___________ convex.
2. A quadrilateral is __________ convex.
1. A triangle is always convex.
2. A quadrilateral is sometimes convex:
Number of Sides
3
4
5
6
8
Name of Polygon
Number of Sides
Name of Polygon
3
4
5
6
8
Triangle
Quadrilateral
Pentagon
Hexagon
Octagon
A regular polygon is _________
and ___________.
A regular polygon is equilateral
and equiangular
The INTERIOR angles of a
convex polygon total ________.
The INTERIOR angles of a
convex polygon total (n – 2)180
number of sides
The EXTERIOR angles of a
0
convex polygon total ________
The EXTERIOR angles of a
0
convex polygon total 360
Find the slope using the
Slope Formula:
A (x1 , y1)
B (x2 , y2)
y1 – y 2
Slope (m) = x – x
1
2
rise
run
State the slope:
y = 1/3x + 4
y = 1/3x + 4
Slope = 1/3
Parallel lines have the
_______ slope.
Parallel lines have the
same slope.
The slope of horizontal
lines is ___________
The slope of horizontal
lines is 0:
0
rise
( Slope = run = 0 )
The slope of vertical
lines is ________________
The slope of vertical
lines is undefined:
rise
( Slope = run = undefined )
0
The slopes of perpendicular
lines are _______________.
The slopes of perpendicular
lines are opposite reciprocals.
(Ex 4/5 and –5/4)
Graph y = 2/3x - 1
.
x
.
y
Find the slope and y-intercept:
4x – 5y = 20
4x – 5y = 20
-5y = -4x + 20
y = 4/5x - 4
slope
y-intercept
Write the equation of a line
with slope 2/3
and passing through (-1, 4)
y – y1 = m (x – x1)
y – 4 = 2/3 (x + 1)
y – 4 = 2/3x + 2/3
3y – 12 = 2x + 2
2x – 3y = -14
Standard Form
Chapter 3 Constructions
1. Construct a perpendicular through a
point on a line
2. Construct a perpendicular through a
point NOT on a line
3. Construct a parallel through a point
not on a line