Understanding Slope and Triangle Similarity

This video tutorial covers the concept of slope in mathematics, focusing on unit 2, lesson 10. It introduces the idea of slope as the quotient of the vertical and horizontal sides of a triangle. The lesson explores similar triangles and their slopes, demonstrating how to draw lines with specific slopes and match lines to their corresponding slopes. The tutorial concludes with homework instructions and practice problems to reinforce the concepts learned.

What is the slope of a line if the vertical side of a triangle is 3 and the horizontal side is 4?

• 3/4

• 4/3

• 2/3

• 1/2

If two lines have the same slope, what can be said about their relationship?

• They are identical

• They intersect at one point

• They are parallel

• They are perpendicular

How do you determine the slope of a line from a graph?

• By dividing the vertical change by the horizontal change

• By counting the number of squares

• By measuring the angle

• By adding the vertical and horizontal changes

What is the slope of a line that goes up 3 units and over 2 units?

• 1/2

• 2

• 2/3

• 3/2

Which of the following sets of side lengths could form a triangle similar to one with sides 3, 4, and 5?

• 6, 8, 10

• 6, 7, 8

• 5, 6, 7

• 9, 12, 15

If a triangle has sides 3, 4, and 5, and another triangle has sides 6, 8, and 10, what is the scale factor between them?

• 0.5

• 1.5

• 2

• 1

What is the slope of a line that rises 1 unit for every 5 units it runs?

• 1/5

• 5

• 5/1

• 1

How can you prove that two triangles are similar?

• By showing they have the same height

• By showing they have the same angles and proportional sides

• By showing they have the same perimeter

• By showing they have the same area

What is the slope of a line that goes up 4 units and over 2 units?

• 1

• 2

• 1/2

• 4

If a triangle has sides 3, 4, and 5, which of the following is NOT a possible set of side lengths for a similar triangle?

• 6, 8, 10

• 7, 9, 11

• 9, 12, 15

• 12, 16, 20