Exploring generations of similar figures. (Each must be the same shape but larger.) For example, how many square pattern tiles will you use to create the next larger square for each generation? How many triangle tiles will you use to create the first generation, second generation, third generation, and so forth?

Example: LOOK AT IMAGE

Draw the first through the fifth generations of squares, triangles and trapezoids. Count how many of each shape are needed to create each generation.
Explain the pattern that you have observed. If a pattern does hold for each generation, how many tiles would be required at the 20th generation?
How do you determine if the generation you are building is similar (by mathematical definition) to the other generations?
What happens to area when you double the dimensions of a given polygon? Triple them? Describe the pattern and give the value needed for the 20th generation.

Step-by-step explanation:

hhjjkhkhhjkhjk

if this is incorrect or correct i say B

Step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct