Here is the table of isosceles right triangle measurements from the Warm-up and an empty table.

1. How can you organize the measurements from the first table so that any patterns are easier to see? Write the organized measurements in the empty table.
2. For each of the following lengths, estimate the perimeter of an isosceles right triangle whose short sides have that length. Explain your reasoning for each triangle.
   1. length of short sides is 0.75 in
   2. length of short sides is 5 in
   3. length of short sides is 10 in

Here are four scatter plots. Your teacher will give you four tables of data.

Scatterplot, x, 0 to 150,000 by 30,000, y, 6,000 to 21,000 by 3,000. Points begin around 2,000 comma 16,000 and trend down and right toward 120,000 comma 7,000.

Scatterplot, x, 72 to 102 by 6, y, 15 to 45 by 5. Points begin around 76 comma 18 and trend up and right toward 100 comma 40.

Scatterplot, x, 10 to 50 by fives, y 10 to 45 by fives. Points begin around 13 comma 12 and trend up and right toward 47 comma 41.

Scatterplot, x, 1,000 to 2,500 by 250, y, 14 to 32 by 2. Points begin around 1,100 comma 29 and trend down and right toward 2,300 comma 16.

1. Match each table with one of the scatter plots, then write a title and label the axes for each.

2. Why do you think some of the scatter plots do not include the origin?

3. Why do you think the values on the grid lines differ by numbers other than 1?