Name:_
Date:_
Period:_
Areas of Polygons
Find the perimeter and area of the following polygons. Simplify all answers unless using trig
(round answers to 2 decimal places for trig). Only use trig for t
Special Right Triangles
I.
Complete the operation. Leave your answer in simplest radical form.
1.
2.
3.
4.
5.
6.
7.
8.
II.
Using the rules for special right triangles, find the values of the variables
Geometry CP
7.1 7.3 Review
I.
Name:_
Date:_ period:_
Solve for the missing side(s) . Simplify all radicals.
1.
2.
x
x
12
12
17
16
x=_
3.
x=_
4.
x
5
3
14 m
x
x
x
y
x
x=_
II.
x=_
y=_
Find the area of ea
Name:_
Date:_
Period:_
Quadrilaterals and Coordinate Geometry
In order to prove a shape is a certain quadrilateral, you should check the lengths of all of the sides as well as the slopes
of the sides.
Name:_
Date:_
8.5 Trapezoids & Kites
Trapezoid - a quadrilateral with exactly _ pair of _ sides.
- the _ sides are the _
- the _ sides are the _
2 pairs of _ _ angles are
_
T
R
P
A
Base Angles _ angle
8.3 Proving a Quadrilateral is a Parallelogram
A quadrilateral is a parallelogram if you can show that:
Use the definition of parallelogram:
1- Both pairs of opposite sides are parallel
OR
2.
Show bot
Name:_
Date:_
Parallelograms 8.2
Parallelogram: A _ (4 sides) with 2 pairs of opposite _ sides.
A
B
Name:
K
ABRK
R
Properties of Parallelograms
1. Opposite _ are _.
D
U
K
N
2. Opposite _ are _.
O
B
J
Name:_
Date:_ Period:_
Trigonometry Word Problems
Angle of Elevation
Angle of Depression
1.) You are skiing on a mountain with an altitude of 1200 meters. The angle of elevation of the
mountain is 2
Name:_
Date:_
Period:_
Trigonometric Ratios
Review: Similar Triangles & Ratios
A
20
16
B
C
9
3
5
12
Trigonometric Ratios- A _of the lengths of two _ in a right triangle.
Sine, Cosine and Tangent ratio
Name:_
Date:_
7.4 Special Right Triangles
I. 45- 45- 90 (Isosceles Right Triangle)
Rules:
If you know a leg, _ by_ to find the hypotenuse
If you know the hypotenuse, _ by _ to find the leg
Examples Fi
Name:_
Date:_
7.3 Using Similar Triangles
REVIEW:
Right Triangle -
R
Hypotenuse
Leg -
G
T
Altitude: The _ segment drawn from a _ to the opposite side of
a triangle.
Theorem 7.5- If the altitude is dr
Name:_
Date:_ per:_
Trig Ratios Finding the missing side
I.
Use the picture to express the following as ratios. ( Simplify ! )
1. sin A = _
2. sin B = _
A
3. cos A = _
4. cos B = _
5
5. tan A = _
6. t
Name:_
Date: _
7. 2 The Converse of the Pythagorean Theorem
REVIEW:
Pythagorean Theorem:
A
B
C
Converse of the Pythagorean Theorem: If the square of the length of the _ side of a
triangle is equal to
Name:_
Date: _
7.1 The Pythagorean Theorem
Pythagorean Theorem: In a right triangle, the square of the length of the _ is equal to the
_ of the squares of the lengths of the _.
A
C
B
Example 1 - Using
Areas of Polygons
Name_
Find the area of each polygon with the given information.
1. A square with diagonal m.
2. A rectangle with base 12 cm and diagonal 13 cm.
4. An isosceles triangle with sides 7