Triangle Properties and Linear Functions

The video tutorial covers homework problems 945, 948, and 949. It begins with an introduction to the problems, followed by a detailed explanation of finding the scale factor between similar triangles ABC and DEF in problem 945. Problem 948 involves graphing and solving systems of equations using graphing and equal values methods. Finally, problem 949 focuses on solving for X and classifying triangles as acute, right, or obtuse based on their angle measures.

What is the first step in solving problem 945 regarding similar triangles?

• Calculate the area of the triangles

• Determine the perimeter of the triangles

• Find the scale factor

• Identify the corresponding angles

If triangle ABC is similar to triangle DEF and the side AB is 3 while DE is 15, what is the scale factor?

• 3

• 5

• 15

• 1/5

How do you find the length of a corresponding side in a larger triangle if you know the scale factor?

• Divide the side length by the scale factor

• Add the scale factor to the side length

• Multiply the side length by the scale factor

• Subtract the scale factor from the side length

What is the y-intercept of the equation y = -x + 1?

• 2

• 1

• -1

• 0

In the equation y = 2x + 7, what does the number 2 represent?

• The y-intercept

• The slope

• The x-intercept

• The constant term

What is the solution to the system of equations y = -x + 1 and y = 2x + 7?

• (-2, -3)

• (2, 3)

• (0, 1)

• (-1, 2)

What method is used to solve the system of equations in problem 948B?

• Elimination method

• Equal values method

• Graphical method

• Substitution method

What is the value of x when solving the system using the equal values method?

• 3

• -2

• 2

• -3

In problem 949, what is the sum of the interior angles of a triangle?

• 360 degrees

• 90 degrees

• 270 degrees

• 180 degrees

If a triangle has angles measuring 60, 40, and 80 degrees, how is it classified?

• Acute triangle

• Obtuse triangle

• Equilateral triangle

• Right triangle