Scale Factors and Similar Triangles

The video tutorial covers the concept of similar triangles, focusing on their properties, such as having the same angle measures and proportional side lengths. It includes solving problems related to finding missing side lengths using scale factors, exploring the similarity between triangles ABC and XYZ, calculating side ratios, and understanding dilation and scale factors in nested triangles.

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

• 2.5

• 2

• 1.5

• 3

In similar triangles, if one side is 9 and the corresponding side is 22.5, what is the scale factor?

• 2.5

• 3

• 2

• 1.5

If two triangles are similar, what can be said about their angle measures?

• They are the same

• They are supplementary

• They are different

• They are complementary

How do you calculate the side length of a smaller triangle if the scale factor is 1/4?

• Subtract 4

• Divide by 4

• Add 4

• Multiply by 4

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?

• 5/7

• 1

• 2

• 7/5

If 7.5 divided by 9 is equivalent to d divided by c, what is the value of d/c?

• 9/7

• 7/9

• 6/5

• 5/6

What is the equivalent ratio of 15/18 in simplest form?

• 4/5

• 5/6

• 3/4

• 2/3

What is the center of dilation if the smaller triangle is nested inside the larger triangle?

• Coordinates (0,0)

• Coordinates (-1,1)

• Coordinates (1,-1)

• Coordinates (1,1)

What is the scale factor for a dilation that reduces a triangle to one-fifth of its original size?

• 1/5

• 4

• 5

• 1/4

If a triangle is reduced by a scale factor of 1/5, how many times smaller is the smaller triangle compared to the larger one?

• 3 times

• 4 times

• 5 times

• 2 times