Question

( There are two similar triangles on the graph below. Use the graph to answer the questions. You must answer each question AND explain how you found it. You will not receive full credit for correct answers without an explanation. )

Answer each of the following questions related to the graph. You must answer yes or no AND explain how you know. You will not receive full credit for correct answers without any explanation.

⦁ What is the slope of the diagonal line on the smaller triangle? Explain how you found it.



⦁ What is the slope of the diagonal line on the larger triangle? Explain how you found it.



⦁ Do they have the same slope? Why or why not?



sorry for the blur in the photo btw !

Answer 1

The Slope of both the lines is the same.

Explanation:

Given two co-ordinates (x1, y1) and (x2, y2), the slope of a line can be found using the formula:

`slope = (y2-y1)/(x2-x1)`

For the diagonal line of the first triangle, the coordinates are (0, 0) and (2, 1)

`slope of diagonal line of first triangle = (1 - 0)/(2 - 0) = (1)/(2)`

For the diagonal line of the large triangle, the coordinates are (2, 1) and (6, 3)

`slope of diagonal line of second triangle = (3-1)/(6-2) = (2)/(4) = (1)/(2)`