Download Name: Period: CHAPTER 9 HOMEWORK GEOMETRY 2010

Name: _____________________________________________________________
CHAPTER 9 HOMEWORK
Day
Section
9.1
Pages
368 – 369
Assignment
Warm-up: Factoring
1
#1aceg, 2ace, 3,ab, 4ac, 5ace,
6ace, 7ace, 8ac
9.3
379 – 383
Class work: Simplifying Radicals
#1, 3abc, 4ad, 5, 21(hint: find AB
first, then DB)
Class work: Geometric Mean
2
Period: ________________
GEOMETRY 2010-2011
Definitions & Properties
Factoring
Simplifying radicals
Quadratic equations
Thm: Altitude to a Hypotenuse – If an altitude is
drawn to the hypotenuse of a right triangle,
then:
a) The two triangles formed are similar to
the given triangle
b) The altitude is the geometric mean of
the two segments of the hypotenuse
c) The legs are geometric means of the
hypotenuse and the segments
x h
  h2  x  y
h y
y a
  a2  c  y
a c
x a
  a2  x  c
a c
9.4
&
9.6
387 – 391
403
3
#1aceg, 3, 5, 7 9, 13, 14, 20 Learn
Common Triples
# 10
Thm: Pythagorean – In a right triangle, the sum
of the squares of the legs is equal to the
square of the hypotenuse.
Class Work: Pythagorean Theorem
Quiz
9.5
4
9.7
Part I
394 – 397
#1ace, 2, 3, 6a, 7, 18
Pythagorean Theorem
Quiz
a 2 + b 2 = c2
Thm: (Converse of Pythagorean Thm) If the sum
of the squares of two sides is equal to the
square of the other, then the triangle is right.
The Distance Formula: For two points (x1, y1)
and (x2, y2), the distance between them is
Thm: A 30˚ 60˚ 90˚ right triangle has sides x,
x√3, 2x.
Thm: A 45˚ 45˚ 90˚ right triangle has sides x, x,
x√2.
Pythagorean Triples:
(3, 4, 5), (5, 12, 13)
(7, 24, 25), (8, 15, 17)
Done
CHAPTER 9 HOMEWORK
Day
Section
9.7
Part II
Pages
408 – 412
Assignment
#1abc, 2abc, 3ab, 4ab, 5, 7, 15, 16,
22
9.9
420 – 422
#1–9, 11
5
Definitions & Properties
Thm: A 30˚ 60˚ 90˚ right triangle has sides x,
x√3, 2x.
Thm: A 45˚ 45˚ 90˚ right triangle has sides x, x,
x√2.
Pythagorean Triples:
(3, 4, 5)
(5, 12, 13)
(7, 24, 25)
(8, 15, 17)
Trigonometry of a right triangle: sine,
cosine, and tangent.
opposite
hypotenuse
adjacent
cos A 
hypotenuse
opposite
tan A 
adjacent
sin A 
6
9.10
Part I
9.10
Part II
7
9.Rev
Class work: Angles of Elevation &
Depression
425 – 427
#1, 4abc, 5, 6ab
Review Worksheet & Study Guide
Trigonometry & Pythagorean
Theorem
8
9.Test
Quiz
Date:
3rd & 4th ~ Tuesday March 1
(After this test, you get a 4-day
weekend with NO Homework )
SOHCAHTOA
Inverse Trigonometry Ratios: Find the angle if
the sine, cosine or tangent is known.
Angle of Elevation: angle above the horizon.
Angle of Depression: angle below the horizon.
Inverse Trigonometry Ratios: Find the angle if
the sine, cosine or tangent is known.
Angle of Elevation: angle above the horizon.
Angle of Depression: angle below the horizon.
Done