Exploring Dilations with a Scale Factor of 1/2

The video tutorial explains how to perform dilations using a fractional scale factor of 1/2. It begins with a review of whole number scale factors and introduces the concept of choosing a center of dilation. The tutorial then demonstrates how to bisect a line using a compass to achieve the desired scale factor. Finally, it guides through the process of completing the dilation to form a triangle half the size of the original.

What is the only fractional scale factor you are expected to know?

• 2/3

• 1/3

• 1/2

• 1/4

What do you connect to the center of dilation to start the dilation process?

• Perpendicular bisectors

• Adjacent points

• Straight line through points

• Circles around the center

What tool is used to bisect a line segment?

• Eraser

• Ruler

• Protractor

• Compass

What is the result of bisecting the line segment from the center to point B?

• B double

• B prime

• B triple

• B half

How do you find the new point on the line when bisecting?

• Joining with a straightedge

• Drawing a circle

• Estimating the midpoint

• Using a protractor

What is the purpose of opening the compass more than halfway when bisecting a line?

• To ensure arcs intersect

• To create larger circles

• To increase accuracy

• To make the process faster

Which tool is flipped around during the process of bisecting a line segment?

• Protractor

• Pencil

• Compass

• Ruler

What is the challenge mentioned in keeping track of during the dilation process?

• The type of compass

• The construction marks

• The length of lines

• The number of points

What is the final geometric shape created after all points are connected post-dilation?

• Triangle

• Circle

• Square

• Rectangle

What is the size of the triangle created compared to the original after the dilation process?

• Half the size

• Three times the size

• Twice the size

• The same size