Triangle Proportionality Theorem Worksheet
This worksheet focuses on applying the Triangle Proportionality Theorem (also known as Thales's Theorem or the Basic Proportionality Theorem) to solve for unknown lengths in triangles.
Includes
Standards
Topics
Triangle Proportionality Theorem
Name:
Date:
Score:
Read each question carefully and apply the Triangle Proportionality Theorem to find the missing lengths. Show all your work.
1. In triangle ABC, line DE is parallel to BC. If AD = 6, DB = 4, and AE = 9, find EC.
2. If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides .
3. In the triangle below, PQ is parallel to RS. If TP = 10, PR = 5, and TQ = 12, what is QS?
4
6
8
10
4. 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
5. In triangle XYZ, line MN is parallel to YZ. If XM = 7, MY = 3, and XZ = 15, find XN and NZ.
Related Worksheets
Secants in Circles Worksheet
Explore properties of secant lines in circles, including the Secant-Secant Theorem and tangent-secant relationships, with this Grade 11 mathematics worksheet.
Secant-Tangent Theorem Worksheet
Explore and apply the Secant-Tangent Theorem to solve for unknown lengths and angles in circles.
Eccentricity of Conic Sections
This worksheet focuses on understanding and calculating the eccentricity of conic sections, including ellipses, hyperbolas, and parabolas, for Grade 11 students.
Transformations: Vertical and Horizontal Stretch and Shrink
Explore vertical and horizontal stretches and shrinks of functions with this comprehensive worksheet for Grade 11 math students.
Grade 11 Math: Rotations Worksheet
This worksheet focuses on understanding and applying geometric rotations in a coordinate plane for Grade 11 students.
Two-Column Proofs Worksheet
This worksheet provides practice with constructing two-column proofs for geometric theorems at a Grade 11 level, covering postulates, definitions, and theorems.
Finding Missing Sides Worksheet
Grade 11 Math worksheet focusing on finding missing sides in right triangles using the Pythagorean theorem and trigonometric ratios.
Distance Between Two Points Worksheet
Practice calculating the distance between two points on a coordinate plane using the distance formula.