Exploring Proportions in Similar Triangles

What is the definition of similar triangles?

• Triangles with the same angles but different side lengths

• Triangles with the same area

• Triangles with the same perimeter

• Triangles with the same shape but different sizes

How do you calculate the scale factor between two similar triangles?

• By adding the lengths of corresponding sides

• By dividing the lengths of corresponding sides

• By subtracting the lengths of corresponding sides

• By multiplying the lengths of corresponding sides

If one side of a triangle is 5 and the corresponding side of a similar triangle is 10, what is the scale factor?

• 1:3

• 3:1

• 1:2

• 2:1

Given a side of 8 in a smaller triangle and a scale factor of 1:2, what is the length of the corresponding side in the larger triangle?

• 18

• 16

• 14

• 12

In the example with sides 3 and 8, what is the value of X if the corresponding side in the larger triangle is 10?

• 15/4

• 8/3

• 30/8

• 10/3

What is the first step in solving for X in the example with sides 3 and 8?

• Set up a proportion

• Subtract the sides

• Multiply the sides

• Add the sides

If the sides of one triangle are 5, 6, and 7, and the sides of another triangle are 15, 18, and 22, are the triangles similar?

• Yes, because all sides are proportional

• No, because not all sides are proportional

• Yes, because they have the same angles

• No, because they have different perimeters

What is the ratio of the sides 5 and 15?

• 3:1

• 1:2

• 1:3

• 2:3

What is the ratio of the sides 6 and 18?

• 1:2

• 1:3

• 2:3

• 3:1

Why are the triangles with sides 5, 6, 7 and 15, 18, 22 not similar?

• Because 5/15 is not equal to 6/18

• Because 6/18 is not equal to 7/22

• Because 5/15 is not equal to 7/22

• Because 15/5 is not equal to 18/6