What is the formula for C.O.P?
y= kx
Angles that add up to 90 degrees.
Complementary Angles
What does a Scale Factor of 2 mean?
It means that the copy image is 2x bigger than the original image.
If a bus can travel 100 miles in 2 hours, how far can the bud drive in 1 hour?
50 miles per 1 hour
What is the C.O.P. in the following equation:
y=13x
13
Angles that are directly across from each other and are equal to each other.
Vertical
What does a Scale Factor of 1/2 mean?
It means the copy image is 1/2 the size of the original image.
It takes 18yds of fabric to make 12 scarves, how much fabric would be used for each scarf?
It would use 1.5yds per scarf.
If the Constant of Proportionality is 5, write the C.O.P. equation.
y=5x
Angles that add up to 180 degrees.
Supplementary Angles
An original rectangle has dimensions of 3in by 6in. What are the new dimensions of the rectangle copy using a scale factor of 3?
The copy rectangle will be 9in by 18in.
A runner can sprint 73.5 meters in 10.5 seconds, how fast is she running in meters per second?
She is running 7 meters per 1 second.
What is the C.O.P. is this set of values?
x y
1 7
2 14
3 21
The C.O.P. is 7.
Possible side lengths of a triangle include:
4, 9, 7
Can this form a triangle?
Yes, because the sum of the 2 smaller sides are greater than the 3rd largest side.
An original rectangular image has the dimensions of 21ft by 24ft. Using a scale factor of 1/3, what are the new dimensions of the rectangular image copy?
The new rectangular image dimensions would be 7ft by 8ft.
John can bake 42 pies in 6 hours. How many pies can he make in 12 hours?
John can make 84 pies in 12 hours.
Do these set of values have a proportional relationship?
x y
3 6
5 10
7 15
No, because 7x2 is not 15.
A triangle has angles measuring 30 degrees and 40 degrees. What is the measure of the third angle?
110 degrees
A drawing of a rectangular garden is 5in by 10in. Using a scale of 1in to 3ft, what are the dimensions of the actual park?
The actual garden dimensions would be 15ft by 30ft.
Last week Bill earned $210 for a 30-hour week. What was his pay rate?
Bill is earning $7/hour