Question 7-56a Find the length of the horizontal and verical sides of each slope triangle A, B, and C on your note catcher. What is the relationship between triangles A, B, and C? Explain your answer. You might use what you know about lengths of similar figures to help.
Find the slope of Triangle A using the slope triangles.
Find the slope of Triangle B using the slope triangles.
Find the slope of Triangle C using the slope triangles.
The numbers in the slope ratios found by the students are all different. Does this mean that the slope of the line changes depending on which points you pick? Discuss this with your group and be ready to share your reasoning with the rest of the class.
Another student said her slope triangle goes up 20 units for every 16 units to the right. Where could her slope triangle be? On your notecatcher, draw a possible slope triangle for this student.
Simplify each of the four slope ratios and compare them. Describe what you find.