Dilation Transformations in Geometry

The video tutorial covers the concept of dilations in geometry, explaining how they involve enlargements or reductions of shapes. It introduces scale factors and demonstrates how to calculate them using examples. The tutorial also covers manual enlargement using coordinates and explores negative dilation, highlighting its effects on size and orientation. The session concludes with a brief mention of upcoming class activities.

What is a dilation in geometry?

• A transformation that changes the position of an object

• A transformation that changes the color of an object

• A transformation that changes the size of an object

• A transformation that changes the shape of an object

If a line segment is enlarged by a scale factor of 3, what happens to its length?

• It becomes three times longer

• It becomes three times shorter

• It remains the same

• It becomes twice as long

What is the scale factor if a line segment of length 12 is reduced to 8?

• 2/3

• 4/3

• 3/2

• 3/4

In a dilation, if the scale factor is less than 1, what type of transformation occurs?

• Reduction

• Enlargement

• Translation

• Rotation

How do you find the new coordinates of a point after a dilation with a scale factor of 2?

• Subtract 2 from each coordinate

• Add 2 to each coordinate

• Divide each coordinate by 2

• Multiply each coordinate by 2

What happens to a shape's orientation during a negative dilation?

• It rotates 90 degrees

• It remains unchanged

• It becomes larger

• It flips over

If a triangle's coordinates are dilated by a factor of -1/2, what is the effect?

• The triangle rotates 180 degrees

• The triangle remains the same

• The triangle reduces and flips

• The triangle enlarges and flips

What is the result of a dilation with a scale factor of 1?

• The shape flips

• The shape remains unchanged

• The shape reduces

• The shape enlarges

Which of the following is true about a dilation with a scale factor greater than 1?

• It results in an enlargement

• It results in a rotation

• It results in a translation

• It results in a reduction

What should students expect to do in the next class regarding dilations?

• Learn about translations

• Perform manual enlargements

• Study color transformations

• Explore rotational symmetry