Thales Theorem and Similar Triangles
Test your understanding of Thales theorem on proportionality and its applications in similar triangles
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Quiz Questions & Answers
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Question 1: According to Thales theorem, what happens when a line is drawn parallel to one side of a triangle intersecting the other two sides?
It creates equal angles only
It creates right angles
It creates congruent triangles
It creates similar triangles
Question 2: In a triangle ABC, if DE is parallel to BC, and D is on AB while E is on AC, then what proportion is true?
AD/AB = AC/AE
AD/AE = AB/AC
AB/AD = AC/AE
AD/AB = AE/AC
Question 3: Which property is NOT a direct result of Thales theorem?
Corresponding angles
Equal areas
Similar triangles
Proportional sides
Question 4: If DE is parallel to BC in triangle ABC, and AD = 3cm, AB = 9cm, what fraction of AC is AE?
2/3
1/4
1/3
1/2
Question 5: What is the main practical application of Thales theorem in construction?
Setting foundation depth
Determining wall thickness
Measuring building height
Calculating floor area
Question 6: In similar triangles created by Thales theorem, what remains constant?
The actual lengths
The perimeter ratio
The area ratio
The ratio of corresponding sides
Question 7: If a line parallel to the base of a triangle divides one side in ratio 2:3, how does it divide the other side?
3:2
2:3
4:6
1:1
Question 8: What's the relationship between triangles formed by a line parallel to the base of a larger triangle?
They are similar but not equal
They have equal perimeters
They are congruent
They have equal areas