Parallel Lines and Transversals
Polygons
Irregular Shapes
Similar Shapes
Word Problems
100
Always/Sometimes/Never: Consecutive interior angles are congruent.
Sometimes! (consider right angles)
100
Formula to find the sum of interior angles of any regular polygon
s = (n-2)*180
s = (n-2)
100
Find the area.
25 squared meters
100
Always/sometimes/never: pythagorean triples _ generate similar triangles.
sometimes
100
One liter of paint should cover 50 square meters of surface area. If a basement is 15.5 meters by 10.5 meters, how many liters of paint must a person buy to cover the basement floor?
4 liters of paint
200
We have learned 6 different types of angles. Choose four of these vocubulary terms, and use the diagram to demonstrate examples of each chosen term.
Answers vary
200
Prove that the area of any regular polygon is its one-half multiplied by its apothem multiplied by its perimeter.
answers vary
200
Find the area of the sector that is formed from the big and small hand of an analog clock when the time is 3 o'clock. The diameter of the clock is 12 inches. You may leave the answer in terms of π.
9π square inches
200
Square 1 has a side length of 3 inches. Square 2 has an area of 36 square inches. What is the scale factor between the two squares (i.e. how much bigger is the side length of square 2 to the side length of square 1)?
Multiply by 2
200
A table top consists of two joined trapezoids as shown in the diagram below. What is the total area of this table top?
7,500 square centimeters
300
Find x and y.
x = 4, y= 14
300
Find the unknown angle measurements.
Top angle = 132 degrees
Right angle = 100
300
Find the area of the shape.
44 square in
300
ALWAYS/SOMETIMES/NEVER: rhombi are _ similar to each other.
Sometimes
300
The area of a trapezoid is 102 square meters. Its two bases are 9 meters and 8 meters respectively. What is the height of the trapezoid?
h = 12 inches
400
Find the values for
/_ a,/_ b,/_ c,/_ d
/_ a = 65^@,/_ b = 25^@,/_ c = 25^@,/_ d=75^@
400
Find the perimeter of a regular hexagon with an apothem length of 16 inches and area of 156 square inches.
19.5 inches
400
Find the total area.Round to the nearest square unit.
637 square units
400
Two right triangles are similar. Triangle A has a base of 6 inches, and a total area of 13.5 inches. Triangle B has a base of 10.8 inches. What is the area of Triangle B? Round to the nearest tenth.
43.7 square inches.
400
A circular swimming pool with a diameter of 28 feet has a deck of uniform width built around it. If the are aof the deck is 60π square feet, find its width.
The deck is two feet wide.
500
Find angles 1 - 9.
/_1 = 90^@
/_2= 152^@
/_3 = 90^@
/_ 4= 98^@
/_ 5= 28^@
/_ 6= 118^@
/_ 7= 128^@
/_ 8= 52^@
/_9 = 62^@
500
The sum of interior angles of this polygon is 2,340 degrees. How many sides does this polygon have? Assuming it's a regular polygon, what is the measure of each angle?
15 sides, 156 degrees
500
Find the area. Round to the nearest tenth as needed.
15.3 square units
500
/_\ A'BC' ~ /_\ ABC
Find x and y. Found to the nearest tenth.x = 17.1
y = 26.3
500
A research team wishes to determine the altitude of a mountain as follows: They use a light source at L, mounted on a structure of height 2 meters, to shine a beam of light through the top of a pole P' through the top of the mountain M'. The height of the pole is 20 meters. The distance between the altitude of the mountain and the pole is 1000 meters. The distance between the pole and the laser is 10 meters. Find the altitude h of the mountain. [hint: triangle LP'P ~ triangle LM'M
h = 1820 meters