Exploring Dilations in 8th Grade Math

This video tutorial covers the concept of dilations in geometry, explaining how a scale factor is used to enlarge or reduce figures. It demonstrates graphing and dilating various shapes, including triangles and quadrilaterals, using different scale factors. The tutorial emphasizes the effect of scale factors greater than one, which enlarge figures, and those less than one, which reduce them.

What does a dilation in geometry refer to?

• Rotating a figure around a fixed point

• A transformation that changes a figure's size

• Reflecting a figure over a line

• A shift of a figure along a straight line

What is the result of dilating a figure with a scale factor greater than 1?

• The figure rotates

• The figure becomes smaller

• The figure remains unchanged

• The figure becomes larger

How do you calculate the coordinates of a dilated point?

• Subtract the scale factor from each coordinate

• Multiply each coordinate by the scale factor

• Divide each coordinate by the scale factor

• Add the scale factor to each coordinate

What are the coordinates of L' after dilating triangle LMN with a scale factor of 2?

• (10, 6)

• (10, 10)

• (5, 3)

• (20, 12)

What is the purpose of using a ruler in graphing dilations?

• To determine the scale factor

• To ensure straight lines when connecting points

• To calculate the area of the dilated figure

• To measure the angles of the dilated figure

After dilating a quadrilateral with a scale factor of 3, what becomes of its size?

• It becomes three times smaller

• It becomes three times larger

• It remains the same size

• It rotates 90 degrees

What are the new coordinates of K' after the dilation of the quadrilateral?

• (-3, -9)

• (3, 9)

• (9, 3)

• (1, 3)

What effect does a scale factor of 1/5 have on a figure?

• It rotates the figure

• It makes the figure five times larger

• It leaves the figure unchanged

• It makes the figure five times smaller

What are the coordinates of P' after a dilation with a scale factor of 1/5?

• (-1, -2)

• (1, 2)

• (2, 1)

• (5, 10)

If a figure is dilated with a scale factor less than 1, what happens to its size?

• It remains the same

• It becomes inverted

• It becomes smaller

• It becomes larger