Triangle Proportionality Theorem Worksheet
Explore the Triangle Proportionality Theorem with this worksheet focusing on segments created by a line parallel to one side of a triangle.
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Triangle Proportionality Theorem
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Read each question carefully and answer to the best of your ability. Show all your work for full credit. Remember the Triangle Proportionality Theorem: If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.
1. The Triangle Proportionality Theorem states that if a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides .
2. Another name for the Triangle Proportionality Theorem is the Theorem.
3. If a line divides two sides of a triangle proportionally, then it is to the third side.
1. In triangle ABC, if line DE is parallel to BC, which of the following is true?
AD/DB = AE/EC
AD/AB = AE/AC
DB/AB = EC/AC
All of the above
1. In triangle PQR, ST is parallel to QR. If PS = 6, SQ = 9, and PT = 8, find the length of TR.
2. Given triangle XYZ, with line segment AB parallel to YZ. If XA = 4, AY = 6, and XB = 5, find the length of BZ.
1. The converse of the Triangle Proportionality Theorem states that if a line divides two sides of a triangle proportionally, then it is parallel to the third side.
True
False
2. The Triangle Proportionality Theorem can only be applied to right-angled triangles.
True
False
In triangle ABC, a line parallel to BC intersects AB at D and AC at E. If AD = 2x, DB = 3x - 2, AE = 4, and EC = 5, find the value of x.