Chapters 7 & 8
Trigonometry!
The study of triangles
Welcome to Geometry B!
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Welcome
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Pretest
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Hk: 7-3 Triangle Similarity, answer Focus Questions
1) Name 3 triangle similarity theorems and explain how to
use each to show triangles similar.
2) Draw and label 2 similar triangles and explain how to write
a similarity statement.
3) How do we use the fact that triangles are similar to find
missing side and angle measures? Give examples to explain
your reasoning
7-3 Similar Triangles
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Class work: p483 ex 9-23 odd, 32, 39, 42-45 all
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Homework: Video 7-4, answer Focus Questions
1) State the Triangle Proportionality Theorem and give an example of how to use
it.
2) State the Converse of the Triangle Proportionality Theorem and give an
example of how to use it.
3) State the Triangle Midsegment Theorem and give and example of how to use
it.
4) Explain and give an example of how to use Corollary 7.1 Proportional Parts of
Parallel Lines
5) Explain and give an example of how to use Corollary 7.2 Congruent Parts of
Parallel Lines
7-4 Parallel Lines, Corresponding Parts
and the Midsegment Theorem
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Class work: p495 ex 1-9, 19, 22, 35, 53-56 all, 63
Homework: Watch video 8-1 & answer Focus Questions
1) How do you find the geometric mean given 2 numbers? Give an example.
2) Draw a right triangle and then draw an altitude from the right angle to the
hypotenuse. Label all intersections. Then write a similarity statement relating the
3 triangles in the figure. (like example 2)
3) State and given an example of how to use the Right Triangle Geometric Mean
Theorems 8.2 and 8.3 (use p539 and example 3)
8-1 Geometric Mean
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Class Work: p541 Ex 1-7, 20, 24, 25, 54-57
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Homework: Quiz Practice 7-3, 7-4, 8-1 on
Connect Ed
Quiz Today!!!
Lessons 7-3, 7-4, 8-1
Homework: 8-2 video and answer the Focus Questions
1)
State the Pythagorean Theorem, explain where to find “c” in a right triangle, and
give an example of how to use the theorem to find a missing hypotenuse and how
to use it to find a missing leg.
2) Define “Pythagorean Triple” and give both an example and a non-example of a
Pythagorean Triple.
3) What is the Converse of the Pythagorean Theorem and how do we use it?
4) What are the Pythagorean Inequality Theorems and how do we use them to
determine whether a triangle is acute, right, or obtuse? Give an example.
8-2 Pythagorean Theorem and it’s Converse;
Using the Pyth. Thm to classify triangles
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Class Work: p551 Ex 1-10, 19, 20, 28, 43, 53-56 all
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Hk: Watch video 8-3 and answer the Focus Questions
1) What is the ratio between the legs and the hypotenuse of a 45-45-90 triangle
(an isosceles right triangle)?
a. Give an example of using the ratio to find a missing leg length given the
hypotenuse.
b. Give an example of using the ratio to find the length of a hypotenuse given
the leg.
2) What is the ratio of the short leg to the long leg and the short leg to the
hypotenuse in a 30-60-90 triangle? (1/2 of an equilateral triangle)
a. Use this ratio to find the length of a short leg given the length of the long leg.
b. Use this ratio to find the length of the hypotenuse given the length of the
short leg.
3) Explain how to use the 30-60-90 ratios to find the width of an equilateral
triangle.
8-3 Special Right Triangles
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Class work: p562 Ex 1-7, 27, 29, 32, 34, 35, 36, 46, 51-54
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HK: Watch video 8-4 & answer Focus Questions
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1) Define Trigonometry
2) What is a trigonometric ratio? Draw and label a right triangle and give
an example of a trigonometric ratio.
3) Give the sine, cosine, and tangent ratios and explain how the acronym
Soh Cah Toa helps keep them straight
4) Give a real world example of how to find the missing length of a triangle
using one of the trigonometric ratios
5) Give the 3 inverse trigonometric ratios, explain how they are related to
the sine, cosine, and tangent ratios, and tell what we use them to find.
6) Give an example of how to find angle measures using inverse
trigonometric ratios.
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8-4 Trigonometry
Using Soh Cah Toa & Solving Triangles
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Class work: p573 ex 1-14, 35
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HK: Watch 8-4 videos B & C and answer Focus Questions
1) What does it mean to "solve a right triangle"?
2) Give an example of solving a right triangle given 2 side lengths.
3) Give an example of solving a right triangle given a side length and
an angle measure.
8-4 continued…
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Class work p573 ex 15, 18-33 multiples of 3, 43, 44, 51, 66-69
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Homework: watch 8-5 video and answer Focus Questions
1) Explain and give an example of an angle of elevation.
2) Explain and give an example of an angle of depression.
3) Give an example of how to use an angle of elevation to find a
missing distance.
4) Explain and give an example of how to use an angle of depression to
find a missing distance.
8-5 Angles of Elevation
and Depression
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Class Work: p583 ex 4-7, 11, 13, 15, 16,
25, 28-31, 38
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Homework: ConnectEd quiz practice 8-2
thru 8-5
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Quiz TOMORROW on 8-2 thru 8-5
Quiz 8-2 thru 8-5
Homework: 8-6 videos Law of Sines & Law of Cosines
Focus Questions
1) Do you need to have a right triangle to use the Laws of Sines and Cosines?
2) What is the Law of Sines?
Give an example of how we would use it to find a side length.
Give an example of how to use it to find a missing angle measure.
3) State the Law of Cosines.
Give an example of how to use it to find a missing side length.
Give an example of how to use it to find a missing angle measure.
4) Explain and give an example of how to solve a triangle using the Laws of
Sines and Cosines.
8-6 Law of Sines and Law of Cosines
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Class Work: p592 ex 1-11, 21, 28, 29, 30, 59-62
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Homework: 8-7 Vectors with Focus Questions
1) What does a vector describe?
2) Draw a vector and label the initial and terminal points.
3) Define the magnitude of a vector.
4) How do we describe the direction of a vector? Give an example
5) How do we find the magnitude and direction of a vector? (like example 4)
5) How do we add and subtract vectors? (like example 5)
6) What is scalar multiplication?
8-7 Vectors
Class work: p605 ex 7-10, 43-45, 46, 54-57
Homework: Chapter 8 Test Review
Big Review Day!!!
Correct Paper Review
Go Over Free Response IN
DETAIL
Online Test Practice
Chapter 8 Test
HK: 9-1 & 9-2 videos on Reflections and Translations
Focus Questions
1) Define a "Reflection in a Line".
2) Explain how to reflect a figure over a line.
3) If you reflect a point (x, y) over the x axis how do the coordinates change?
What if you go over the y axis? The line y=x?
4) What is a translation and how are vectors related to translations?
5) Give an example of how to translate a figure.
6) Explain how vectors a used to translate a figure on the coordinate
plane. Give an example of translation notation.