Similar Triangles and Dilation Concepts

This video tutorial covers the concept of similar triangles, focusing on calculating side lengths using scale factors. It includes four problems: finding missing side lengths, exploring triangle XYZ, determining the ratio of sides, and identifying the center and scale factor for dilation. The tutorial emphasizes understanding the properties of similar triangles, such as equal angle measures and proportional side lengths.

What is the scale factor if a side length of 10 corresponds to a side length of 4 in similar triangles?

• 2.5

• 2

• 3

• 4

If triangle XYZ is similar to triangle ABC with a scale factor of 1/4, how does the size of XYZ compare to ABC?

• XYZ is twice as large

• XYZ is four times larger

• XYZ is the same size

• XYZ is four times smaller

How do the angle measures of similar triangles compare?

• They are half as large

• They are twice as large

• They are different

• They are the same

What is the side length of triangle XYZ if the corresponding side length in triangle ABC is 7 units and the scale factor is 1/4?

• 4 units

• 2 units

• 3 units

• 1.75 units

What is the ratio of the long side to the medium side in triangle XYZ if the long side is 7/4 and the medium side is 5/4?

• 7/5

• 5/7

• 1

• 2

If two triangles are similar and one side of the first triangle is 7.5 while the corresponding side of the second triangle is 9, what is the ratio of the two sides?

• 9/7

• 7/9

• 6/5

• 5/6

What is the value of d/c if d is 7.5 and c is 9 in similar triangles?

• 6/5

• 9/7

• 5/6

• 7/9

What is the scale factor for a dilation that reduces a larger triangle to a smaller triangle that is five times smaller?

• 1/5

• 5

• 1/4

• 4

Where is a good center point for a dilation that moves a larger triangle to a smaller triangle?

• Coordinates (0,0)

• Coordinates (-1,1)

• Coordinates (1,1)

• Coordinates (-1,-1)

If a smaller triangle is nested inside a larger triangle, what is the relationship between their sizes?

• The smaller triangle is larger

• The smaller triangle is the same size

• The smaller triangle is five times smaller

• The smaller triangle is twice as large