Understanding Slope and Transformations

The video introduces the concept of slope and equivalent fractions, explores similar triangles and scale factors, defines similarity through transformations and dilations, and applies the concept of slope to draw parallel lines. The lesson emphasizes the importance of understanding different representations of numbers and the relationship between vertical and horizontal changes in geometry.

Which of the following is NOT a way to represent the fraction 15/12?

• 1.25

• 1 and 1/4

• 0.75

• 125%

What is the term used to describe the change in size of a triangle while maintaining its shape?

• Dilation

• Reflection

• Rotation

• Translation

If triangle FGH is similar to triangle ABC with a scale factor of 2, what happens to the side lengths of triangle FGH?

• They are doubled

• They are tripled

• They remain the same

• They are halved

Which of the following is NOT a transformation used to prove triangle similarity?

• Translation

• Dilation

• Rotation

• Reflection

How is slope defined in terms of a triangle's dimensions?

• The difference between the vertical and horizontal lengths

• The product of the vertical and horizontal lengths

• The sum of the vertical and horizontal lengths

• The ratio of the vertical length to the horizontal length

What is the term used to describe the vertical change in a slope?

• Run

• Tilt

• Rise

• Shift

When drawing a line with a slope of 1/2, what is the correct movement from one point to the next?

• Up 2, over 2

• Up 1, over 2

• Up 1, over 1

• Up 2, over 1

What characteristic do lines with the same slope share?

• They are parallel

• They are perpendicular

• They intersect

• They form a right angle

If a line has a slope of 1/2, what is the horizontal change for every unit of vertical change?

• 0.5 units

• 1 unit

• 2 units

• 3 units

What is the importance of drawing arrows at the ends of a line on a graph?

• To indicate the line is a segment

• To show the line is a ray

• To demonstrate the line continues infinitely

• To mark the endpoints of the line