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1.29.2014
Operations with Radicals
Review: The Jailbreak Method
Steps:
1. Break number into prime factors
Example:
2. Find pairs
3. Kill one and bring other one out
4.
Simplify all numbers outside and
inside of jail using multiplication.
Exploration:
If y
PG
_
Chapter 7
1.31.2014
Name:
Distance Notes
Definition: Distance Formula
The distance formula is used to
determine the distance between two
points in the plane
Formula:
Examples:
1)
Use the distance formula to find the length of segment DB
2)
Use the di
PG
Name:_
L7.4
2.10.2014
Special Right Triangles
45-45-90 Triangle Theorem
Ratio of the Sides:
1: 1:
x: x: x
Examples: Find the values of the variables.
1.
2.
3.
PG
Name:_
L7.4
2.10.2014
30-60-90 Triangle Theorem
Ratio of the Sides:
1: 2
x: x
Examples:
4.
PG
Name:_
L7.3 Altitude-Hypotenuse Proportions
2.7.2014
Altitude- Hypotenuse Proportions
Theorem
If the altitude is drawn to the
hypotenuse of a right triangle, then the
two triangles formed are
_ to the original
triangle and to each other.
Example: Ident
PG
_
7.2 Pythagoreans Converse
2.4.2014
Pythagoreans Converse
Theorem: Pythagoreans Converse
Name:
If the square of the length of the
Example: determine whether the
longest side of a triangle is equal to
given triangle is a right triangle
the sum of the s
PG
Name:
_
L7.1-7.2 Quiz Review
2.5.2014
Modeling with the Pythagorean Theorem (10 points)
Draw a DIAGRAM of EACH situation, then solve the problem.
1. To go from Halville to Pierreton, you can travel along the two main
highways or the direct route along
Name:
Period
PlaneGeometry
Chapter7
Date:
WhichistheBetterBuy?
Objective
Find and compare the costs of two pieces of property.
Investigation
You want to purchase a plot of land. There are two plots of land that you are considering
purchasing. Mrs. Avalos
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Name:_
Trig Application Notes
2.27.2014
Trigonometry Applications
Angle of Elevation
The angle of elevation is always
measured from the ground up. It
is always INSIDE the triangle.
The angle of depression is always
measured from the top looking
down, O
Plane Geometry
_
Pythagorean Triples Practice
2.4.2014
Name:
Practice with Pythagorean Triples
Determine whether the following sets of triples are Pythagorean Triples. Explain
how you know it is a Pythagorean triple and indicate which numbers represent a,
1.24.2014
Simplifying Radicals
Simplifying Radicals: Jailbreak Method
Example:
When a number is under a radical
symbol, , we consider the number in jail.
In order for the number to escape from
jail we need to break the number into
smaller teams, prime num
PG
L 7.4 Extra Practice
2.11.2014
Special Right Triangles
1.
2.
3.
4.
Names: _
_
Special Right Triangles
PG
L 7.4 Extra Practice
2.11.2014
5.
6.
7.
8.
9.
Names: _
_
PG
L 7.4 Extra Practice
2.11.2014
Names: _
_
PG Chapter 8 Project
Properties of Quadrilaterals List
1. Four right angles
2. The midsegment is the average of the two bases
3. One of the diagonals bisects a pair of opposite angles
4. Two disjoint pairs of consecutive congruent sides
5. Both pairs of o
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L 8.5
3.13.2014
Using Properties of Quadrilaterals
Properties of Trapezoids and Kites
I.
Trapezoids
A. Regular Trapezoid
The Midsegment Theorem for
Trapezoids: the midsegment of
a trapezoid is
_ to each
base and its length is
_ the sum of the
l
L 6.6 Proportionality Theorems
1.15.2014
PG
Triangle Proportionality Theorem
If a line is parallel to a side of a triangle,
then it divides the other two sides
_.
Note: the converse of the Triangle
Proportionality Theorem is also true.
Triangle Proportion
PG Chapter 8 Project
Name: _
Quadrilateral Project
Directions: Complete each of the three sections about each quadrilateral. You will be graded on
completeness, correctness, and neatness. After completing the information on the 6 quadrilaterals, hand in
y
Name:
Date:
PlaneGeometry
Period
SimplifyingRadicals&RationalizingDenominatorsNotes
Chapter7
SimplifyingRadicals
JAILBREAKMETHOD:
When a number is under a radical symbol, , we consider the number in jail. In order for the number to escape
from jail we nee
Name _
Date _
CHAPTER 6
Cumulative Review
For use after Chapter 6
Draw a figure that fits the description. (Lesson 1.6)
1. A quadrilateral that is not a parallelogram
2. A convex pentagon
3. A regular triangle
Find the values of x and y. (Lesson2.7)
4.
5.
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L 8.1B
3.6.2014
Finding Angle Measures in Polygons
Polygon Exterior Angles Theorem
The sum of the measures of the
exterior angles of a convex, one
angle at each vertex, is 360
m1+ m2+ + mn= 360
*NOTE: interior and exterior
angles
are ALWAYS
_*
E
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L8.1A
3.5.2014
Polygons
A polygon is a figure with at least
3 straight non-overlapping sides.
Convex: no indentation
Concave: indent/ point on
polygon is in interior
Polygon Interior Angles Theorem
The sum of the measures of the
interior angles
Find the magnitude and direction of each vector.
1.113 : A(3, 1), B(2, 3) 2.1%? P(0, 0), Q(2, 1)
3.1T]? T(0, 1), U(3, 5) 4.1W:M(2, 2), M3, 1)
Copy the vectors to nd each sum or difference.
_I._I.
1.c+d E
? A
L
2-\