Dilation and Reflection Concepts

The video tutorial explains how to solve a geometry problem involving the dilation of triangle ABC to create triangle ABC'. The teacher guides students through identifying the original and new triangles, calculating the scale factor using ordered pairs, and formulating a rule to represent the dilation. The correct rule is verified, and the process is concluded with a summary of the findings.

What is the center of dilation for triangle ABC?

• Point C

• Point A

• The origin

• Point B

How can you identify the new triangle from the old one?

• By size

• By shape

• By apostrophes

• By color

What happens to the size of the triangle after dilation?

• It becomes smaller

• It becomes larger

• It changes shape

• It remains the same

What is the first step in finding the scale factor?

• Labeling the triangles

• Identifying ordered pairs

• Calculating area

• Measuring angles

Which ordered pair is used for the old triangle's point C?

• (3, 1)

• (6, 2)

• (1, 3)

• (2, 6)

What is the ordered pair for C' in the new triangle?

• (6, 2)

• (3, 1)

• (1, 3)

• (2, 6)

How is the scale factor calculated?

• Difference of points

• Sum of points

• New point over old point

• Old point over new point

What is the scale factor found in this problem?

• 2

• 1.5

• 0.5

• 1

How is the rule for dilation generally written?

• X, Y -> -X, -Y

• X, Y -> X+1, Y+1

• X, Y -> 0.5X, 0.5Y

• X, Y -> 2X, 2Y

What does multiplying X and Y by 0.5 represent?

• Translation

• Rotation

• Reflection

• Dilation