Question

8/2/20 - KnowCheck 9 / 16

Plot (0,0) and (5,3) on the coordinate grid. Then find the slope. Erase and then plot (0,0) and (10,6). Find the slope.

Are both triangles similar? Why?

Answer 1

To plot the points (0,0) and (5,3) on the coordinate grid, we start at the origin (0,0) and move 5 units to the right and 3 units up to reach the point (5,3). The slope of this line can be found using the formula: slope = (change in y) / (change in x). Both triangles are similar because they have the same slope, which means the lines have the same steepness.

Step-by-step explanation:

To plot the points (0,0) and (5,3) on the coordinate grid, we start at the origin (0,0) and move 5 units to the right and 3 units up to reach the point (5,3). The slope of this line can be found using the formula:

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

Using the coordinates (0,0) and (5,3), we have:

slope = (3 - 0) / (5 - 0) = 3/5

Similarly, to plot the points (0,0) and (10,6), we start at the origin (0,0) and move 10 units to the right and 6 units up to reach the point (10,6). The slope of this line can be found using the same formula:

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

Using the coordinates (0,0) and (10,6), we have:

slope = (6 - 0) / (10 - 0) = 6/10 = 3/5

Both triangles are similar because they have the same slope, which means the lines have the same steepness.