Comparing Slopes in Triangles

The video tutorial explores the concept of slope triangles, demonstrating how to calculate the slope between different points on a line using these triangles. It shows that the slope remains consistent regardless of the points chosen, as long as they lie on the same line. The tutorial also covers identifying triangles with the same slope and using proportions to demonstrate the similarity of triangles. The video concludes by comparing slopes of similar triangles and confirming their equality.

What is the main question addressed when using slope triangles?

• The difference between rise and run.

• How to calculate the area of a triangle.

• Whether the choice of points affects the slope.

• How to draw slope triangles on a graph.

What is the slope between points A and B?

• 3/4

• 2/3

• 1/2

• 1/4

How does the slope between points B and C compare to that between A and B?

• It is greater.

• It is less.

• It is the same.

• It cannot be determined.

What can be concluded about slope triangles on the same line?

• They have different slopes.

• They are not similar.

• Their slopes are equal.

• Their hypotenuses are different.

What is the simplified slope of a line with a rise of 2 and a run of 1?

• 1

• 2

• 1/2

• 3

Which triangle has a slope of 2?

• Rise of 100, run of 51

• Rise of 9, run of 2

• Rise of 7, run of 3.5

• Rise of 42, run of 21

What is the slope of the smaller triangle in the similar right triangles?

• 2/3

• 3/4

• 1/3

• 1/2

Which proportion shows that the slope of DE is equal to the slope of LN?

• 3/1 and 1/3

• 7/5 and 1/3

• 3/3 and 1/3

• 1/3 and 1/3

What is the slope of the hypotenuse of triangle ABC compared to DEF?

• Greater than DEF

• Cannot be determined

• Equal to DEF

• Less than DEF