Exploring Algebraic Representations and Scale Factors

What is the primary focus of the lesson 8.3 C?

• Understanding the effects of negative scale factors

• Learning about algebraic representations in dilations

• Studying the impact of translations on coordinates

• Exploring the properties of three-dimensional figures

What happens to the coordinates of a point when a figure is dilated from the origin with a scale factor of 3?

• The coordinates remain unchanged

• The coordinates are divided by 3

• The coordinates are multiplied by 3

• The coordinates are reduced by a factor of 3

What is the effect of a dilation with a positive rational scale factor on a point's coordinates?

• Coordinates are multiplied by the scale factor

• Coordinates are subtracted by the scale factor

• Coordinates are added by the scale factor

• Coordinates are divided by the scale factor

What algebraic operation is performed on the coordinates during dilation from the origin?

• Addition

• Subtraction

• Division

• Multiplication

If a pentagon is dilated by a scale factor of 1/2, what happens to the coordinates of a point on the pentagon?

• Each coordinate is reduced to zero

• Each coordinate is doubled

• Each coordinate is halved

• Each coordinate is increased by 1/2

How is the new location of point T determined in the pentagon example?

• By multiplying each coordinate by the scale factor

• By dividing each coordinate by the scale factor

• By adding the scale factor to each coordinate

• By subtracting the scale factor from each coordinate

In the rectangle dilation example, what is the scale factor used to find the new coordinates of point G?

• 1/2

• 3

• 5/2

• 2.5

What is the correct representation of a scale factor of 2.5 in fractional form?

• 2/5

• 5/2

• 4/5

• 5/4

What should students do after completing problems three, four, and five?

• Continue to the next video lesson

• Pause the video and verify answers with the teacher

• Discuss the answers with peers

• Start the quiz immediately

What should students do if they encounter difficulties while solving the dilation problems?

• Pause the video and seek help from the teacher

• Consult the textbook for similar examples

• Skip the difficult problems

• Guess the answers and move on