Scale Factors and Triangle Similarity

This video tutorial explores the concept of similar triangles, focusing on two main problem types: connected and overlapping triangles. It explains the criteria for triangle similarity, such as consistent scale factors, and demonstrates how to solve problems using these principles. The video also covers advanced problem-solving techniques and the use of ratios in triangle problems.

What is the scale factor if the corresponding sides of two similar triangles are 12 and 24?

• 3

• 1/2

• 2

• 1

If the sides of two similar triangles are in the ratio 5:10, what is the scale factor?

• 2

• 5

• 1

• 1/2

How can you determine if two triangles are similar using fractions?

• By comparing the angles

• By comparing the perimeters

• By dividing corresponding sides and checking for a constant ratio

• By measuring the area

What is the reciprocal of the scale factor if the original scale factor is 2?

• 1/2

• 3

• 2

• 1

In a pair of connected triangles, if one side is 10 and its corresponding side is 20, what is the scale factor?

• 1

• 2

• 3

• 1/2

Which angles are equal in connected triangles with parallel lines?

• Alternate angles

• All of the above

• Vertical angles

• Corresponding angles

In overlapping triangles, which angles are used to determine similarity?

• None of the above

• Corresponding angles

• Vertical angles

• Alternate angles

If the base of a small triangle is 15 and the base of a larger similar triangle is 25, what is the scale factor?

• 5/3

• 2

• 1

• 3/5

How do you use a given ratio to find unknown side lengths in similar triangles?

• By setting up equations using the ratio

• By multiplying the side lengths by the ratio

• By dividing the side lengths by the ratio

• By adding the ratio to the side lengths

If the ratio of two sides is 5:4 and one side is 20, what is the length of the other side?

• 10

• 16

• 25

• 15