Understanding Dilations in Geometry

The video tutorial explains the concept of triangle dilation with a center at point P and a scale factor of 3/4. It guides viewers through estimating the positions of the dilated points A', B', and C' by considering their distances from the center of dilation. The tutorial also analyzes different choices, identifying the correct representation of the dilated triangle and explaining why other options are incorrect due to wrong centers of dilation or scale factors.

What is the scale factor used in the dilation of triangle ABC?

• 1/2

• 3/4

• 2/3

• 1/4

Where is the center of dilation located for triangle ABC?

• Point C

• Point B

• Point A

• Point P

How does the distance of a point from the center of dilation change after the transformation?

• It doubles

• It remains the same

• It becomes three-fourths

• It halves

In the context of dilations, what does a scale factor less than 1 indicate?

• Enlargement

• Reduction

• Reflection

• No change

Which choice correctly represents the dilated triangle A'B'C'?

• Choice C

• Choice D

• Choice A

• Choice B

Why is choice A incorrect in representing the dilation?

• Wrong scale factor

• Wrong center of dilation

• Incorrect triangle shape

• Incorrect line type

What is the effect of using a different center of dilation?

• No effect

• Changes the position

• Changes the size

• Changes the shape

What is the main error in choice B's representation of the dilation?

• Wrong scale factor

• Wrong center of dilation

• Both wrong scale factor and center

• Incorrect triangle shape

What is the correct scale factor for choice B?

• 3/4

• 1/2

• 1/3

• 1/4

Which of the following is not a characteristic of a dilation?

• Proportionality

• Distance preservation

• Parallelism preservation

• Angle preservation