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 triangles that are not 45-45-90s
or 30-60-90s.
1.
11 ft
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.
8.
9.
10.
11.
12.
13.
15.
16.
14. Given:
is equilater
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 each figure above.
1._
III.
6
2._
3._
4._
Determine if th
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. Remember your formulas:
Slope = m =
Distance = d =
Loo
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 _ angles that form a _
Midsegment a segment that joins the 2 _
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 both pairs of
opposite sides are
3.
Show both pairs of
opp
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
S
3. _angles are _.
O
B
T
4. Diagonals _ each other.
A
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 21. About how far do you ski down the mountain? (Round t
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 ratios are trigonometric ratios for the _ angles
that involv
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 Find the values of x and y in simplest radical form.
1.
2
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 drawn to the _of a right triangle, then
the two triangles
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. tan B = _
13
C
II.
12
B
Use your calculator to find the
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 the _ of the squares of the lengths of the other two si
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 Pythagorean Theorem
Identify the unknown side as a leg
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 in, 7 in , and
12 in.
5. A parallelogram with sides 8 m