Using Similarity and proportions to find the missing values

Using Similarity and proportions to find the missing values

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers solving a problem involving proportions in similar triangles. It begins with setting up a proportion between side lengths, followed by a detailed explanation of cross multiplication and the importance of distributing terms correctly. The tutorial concludes with solving the equation to find the value of X, emphasizing careful distribution to avoid common mistakes.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in setting up a proportion for similar triangles?

Set up a ratio between corresponding sides

Find the hypotenuse

Identify the right angle

Calculate the area

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to distribute terms during cross-multiplication?

To find the hypotenuse

To ensure all terms are accounted for

To eliminate fractions

To simplify the equation

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do after cross-multiplying the terms?

Divide the terms

Add the terms

Subtract the terms

Solve for the variable

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation 12X + 60 = 15X + 15, what is the next step to solve for X?

Add 15 to both sides

Subtract 12X from both sides

Divide both sides by 15

Multiply both sides by 3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value of X in the given problem?

18

15

10

12