Coordinate Proofs Worksheet
A Grade 11 Math worksheet focusing on coordinate proofs, including distance formula, midpoint formula, and slope to prove geometric properties.
Includes
Standards
Topics
Coordinate Proofs: Grade 11 Geometry
Name:
Date:
Score:
Read each question carefully and provide a complete answer. Show all your work for coordinate proofs.
1. Given points A(-3, 5) and B(7, -1), find the distance between A and B, and the midpoint of the segment AB.
2. State whether each statement is True or False.
True
False
a) The slope of a horizontal line is undefined.
True
False
b) Perpendicular lines have slopes that are negative reciprocals of each other.
3. Prove that the triangle with vertices A(1, 2), B(4, 2), and C(1, 6) is a right-angled triangle using coordinate geometry. Include a sketch of the triangle on the coordinate plane.
4. Which of the following properties is true for a parallelogram but not necessarily for a rhombus?
All four sides are congruent.
Diagonals are perpendicular.
Opposite sides are parallel.
Diagonals bisect each other.
5. Prove that the quadrilateral with vertices P(-2, 1), Q(1, 3), R(6, 3), and S(3, 1) is a parallelogram. You may use any valid coordinate geometry method.
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.