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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

Tags

CCSS.7.G.A.1

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

Tags

CCSS.7.G.A.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

Tags

CCSS.7.G.A.1

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

Tags

CCSS.7.G.A.1

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

Tags

CCSS.HSG.SRT.C.8

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

Tags

CCSS.HSG.SRT.A.2

What is the ratio of the sides 5 and 15?

• 3:1

• 1:2

• 1:3

• 2:3

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the ratio of the sides 6 and 18?

• 1:2

• 1:3

• 2:3

• 3:1

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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

Tags

CCSS.HSG.SRT.A.2