Using triangle proportionality theorem to prove parallel lines

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Mathematics
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11th Grade - University
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the triangle proportionality theorem state about the segments of a triangle with parallel lines?
The segments are perpendicular to each other.
The segments form a right angle.
The ratio of two segments is equal to the ratio of two other segments.
The segments are equal in length.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the given problem, if the full length is 27 and one segment is 9, what is the length of the other segment?
18
36
9
27
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of setting up a proportion in the problem-solving process?
To calculate the perimeter of the triangle.
To prove the equality of the lines.
To determine the length of the hypotenuse.
To find the area of the triangle.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is cross-multiplication used in solving the proportion?
By multiplying the numerators together.
By adding the numerators and denominators.
By multiplying the numerator of one fraction by the denominator of the other.
By dividing the denominators by the numerators.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final value of X that proves the lines are parallel?
1/2
1
3/4
2/3
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