Exploring Ratios in Similar Triangles

This video tutorial from YourTeacher.com explains the concept of similar triangles, focusing on the equality of the ratios of their corresponding sides. It demonstrates how to set up and solve proportions to find unknown side lengths, using cross products to solve for variables. The tutorial provides a step-by-step approach to understanding and applying these mathematical principles.

What is the result when two triangles are similar?

• Their areas are the same.

• They have the same perimeter.

• The ratios of their corresponding sides are equal.

• Their angles are congruent.

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Which sides correspond to each other in the given similar triangles?

• MO corresponds to DB, QM to AB, and QO to DA.

• MO corresponds to DA, QM to AB, and QO to DB.

• MO corresponds to AB, QM to DA, and QO to DB.

• All sides correspond to each other directly.

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CCSS.HSG.SRT.A.2

What is the ratio of the side lengths MO to AB?

• 5 to 20

• x to 12

• 12 to x

• 13 to 52

How do you set up a proportion to solve for x?

• Using the ratio of corresponding sides.

• By adding the lengths of corresponding sides.

• Through subtraction of side lengths.

• By dividing the area of one triangle by the other.

Which proportion can also be used to solve for x?

• 12 over x equals 13 over 52

• 5 over 20 equals x over 12

• x over 5 equals 20 over 12

• 13 over 52 equals 20 over 5

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CCSS.HSG.CO.C.9

What is the first step in solving for x using cross products?

• Divide 12 by 20.

• Multiply x by 5.

• Divide x by 5.

• Multiply 12 by 20.

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CCSS.6.EE.B.7

What do you get when you multiply 12 by 20?

• 32

• 240

• 480

• 60

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CCSS.4.NBT.B.5

How do you solve for x after finding the cross product?

• Subtract 5 from both sides.

• Divide both sides by 5.

• Add 5 to both sides.

• Multiply both sides by 5.

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CCSS.HSG.SRT.C.8

What is the value of x?

• 12

• 24

• 48

• 60

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CCSS.8.G.A.5