Dilation Construction Techniques

This video tutorial by Longo explains how to construct a dilation of a triangle with a scale factor of two. It covers the necessary tools, such as a straight edge and compass, and guides viewers through the process of drawing lines from the center to the triangle's vertices. The tutorial demonstrates how to use a compass to mark new vertices and connect them to form a new triangle, emphasizing the concept of pre-image and image. It also provides guidance on adjusting the process for different scale factors.

What is the purpose of using a scale factor of two in dilation?

• To double the size of the shape

• To reduce the size of the shape

• To keep the size of the shape the same

• To triple the size of the shape

Which tools are necessary for constructing a dilation?

• Pencil and eraser

• Calculator and graph paper

• Straight edge and compass

• Ruler and protractor

What is the first step in constructing a dilation?

• Drawing three lines from the center to the vertices

• Calculating the area

• Measuring the angles

• Drawing a circle

How many lines need to be drawn from the center of dilation to the vertices?

• Four

• One

• Three

• Two

What is the role of the compass in the dilation process?

• To measure angles

• To calculate distances

• To draw circles

• To double the length of segments

What should you do after marking the new vertices with the compass?

• Measure the new triangle

• Connect the new vertices to form a new triangle

• Erase the original triangle

• Calculate the area of the new triangle

What is the term used for the original shape before dilation?

• Reflection

• Post-image

• Pre-image

• Image

What is the final step in constructing a dilation with a scale factor of two?

• Measuring the angles of the new triangle

• Connecting the new vertices with a straight edge

• Erasing the original triangle

• Calculating the area of the new triangle

How does the process change for a scale factor of three?

• You use a different center point

• You make three compass marks instead of two

• You do not change the process

• You draw three additional lines

What happens to the number of compass marks when the scale factor is four?

• It increases to four

• It remains the same

• It decreases

• It doubles