التشابه:المستقيمات المتوازية والأجزاء المتناسبة  - حل مسائل 4

التشابه:المستقيمات المتوازية والأجزاء المتناسبة - حل مسائل 4

Assessment

Interactive Video

Mathematics

5th - 12th Grade

Hard

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The video tutorial explains how to calculate the waterfront length of a land plot using the theory of proportional segments for parallel lines. It starts by defining land frontage and introduces the problem of finding the waterfront length. The given data and applicable theory are discussed, followed by the application of the proportional segments theory. The tutorial then demonstrates solving the equation to find the unknown length, X, and concludes with the final result, rounded to the nearest 10 meters.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary task described in the video regarding plot A?

To find the area of plot A

To determine the length of the waterfront of plot A

To calculate the perimeter of plot A

To measure the height of plot A

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the parallel lines in the given data?

They are used to determine the height of the plot

They allow the application of the theory of proportional segments

They help in calculating the area of the plot

They indicate the direction of the plot

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which mathematical concept is applied to find the length of the waterfront?

Trigonometric identities

Quadratic equations

Theory of proportional segments

Pythagorean theorem

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of the cross-multiplication step in the calculation?

42 X = 60 / 58

42 X = 60 * 58

42 X = 60 - 58

42 X = 60 + 58

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final calculated length of the waterfront for plot A, rounded to the nearest 10 meters?

80 meters

82.9 meters

85 meters

90 meters