The converse of the theorem proves a line is parallel if the sides are divided proportionally.
True
If AD/DB = AE/EC, what can we conclude? A) DE ⟂ BC B) DE ∥ BC C) DE = BC D) Triangle ABC is isosceles
B) DE ∥ BC
If a line is not parallel, the sides are always divided proportionally.
False- It has to be Parallel
The theorem helps prove which geometric property? A) Area of triangles B) Proportional sides C) Congruence of triangles D) Perimeter of polygons
B) Proportional sides
The theorem works for any triangle shape (scalene, isosceles, or equilateral).
True
9
In △ABC, if DE ∥ BC, then which of the following is true? A) AD = DB B) AE + EC = AD + DB C) AD/DB = AE/EC D) AD × DB = AE × EC
C) AD/DB = AE/EC
The Triangle Proportionality Theorem only applies when: A) The line passes through the midpoint of one side B) The line is parallel to one side C) The triangle is right-angled D) All sides are equal
B) The line is parallel to one side
If a line is parallel to one side of a triangle, it divides the other two sides: A) Equally B) Perpendicularly C) Proportionally D) Unequally
C) Proportionally
If DE ∥ BC, AD = 2, DB = 6, and AE = 3, find EC. A) 8 B) 9 C) 12 D) 7
B) 9
In a triangle, if a line divides the sides proportionally, it must be: A) Perpendicular to the base B) Parallel to the base C) Tangent to the base D) None of these
B) Parallel to the base
The Theorem is called the Basic Proportionality Theorem.
False- Triangle Proportionality Theorem
4.5
6