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.
Includes
Standards
Topics
Two-Column Proofs Practice
Name:
Date:
Score:
Follow the instructions for each section. For two-column proofs, write your statements and reasons in the provided space.
1. Given that M is the midpoint of segment AB, prove that AM = MB. (Draw a diagram first)
Statement
Reason
2. Given that ray BD bisects angle ABC, prove that m∠ABD = m∠DBC. (Draw a diagram first)
Statement
Reason
3. Given that ∠1 and ∠2 are supplementary, and ∠2 and ∠3 are supplementary, prove that ∠1 ≅ ∠3.
Statement
Reason
4. Which of the following is a valid reason in a two-column proof?
My teacher said so
It looks correct
Definition of perpendicular lines
Common sense
5. A two-column proof consists of two columns: one for and one for .
Related Worksheets
Segment Length Practice Worksheet
Grade 11 Math worksheet focusing on calculating and applying segment lengths in various geometric contexts, including number lines, coordinate planes, and geometric figures.
Similar Figures Worksheet
This worksheet focuses on understanding and applying the properties of similar figures, including triangles and polygons, at a Grade 11 level. Students will solve problems involving scale factors, missing side lengths, and angle measures.
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.
Triangular Prisms: Surface Area and Volume
This worksheet focuses on calculating the surface area and volume of triangular prisms, suitable for Grade 11 math students.
Triangle Sum Theorem Worksheet
A Grade 11 math worksheet focusing on the Triangle Sum Theorem, including various problem types to reinforce understanding of triangle angle properties.
Similar Solids Worksheet - Grade 11 Geometry
Explore the properties of similar solids, including their ratios of corresponding linear measures, areas, and volumes, with these challenging problems.
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.