Properties of Rhombi Worksheet
Explore and apply the geometric properties of rhombi, including side lengths, angles, and diagonals, through various problem-solving exercises.
Includes
Standards
Topics
Properties of Rhombi
Name:
Date:
Score:
Read each question carefully and provide full solutions, showing all your work. Diagrams are not necessarily to scale.
1. A rhombus is a quadrilateral with all four sides .
2. The diagonals of a rhombus are to each other.
3. Each diagonal of a rhombus the angles of the rhombus.
4. The opposite angles of a rhombus are .
5. In rhombus ABCD, if AB = 7x - 3 and BC = 5x + 9, find the value of x and the length of each side.
6. Consider rhombus PQRS. If m∠PQR = 110°, find m∠QRS, m∠RSP, and m∠SPQ.
7. In rhombus ABCD, the diagonals intersect at E. If AE = 8 and BE = 6, find the perimeter of the rhombus.
8. All rhombi are squares.
True
False
9. The diagonals of a rhombus bisect each other at right angles.
True
False
10. Which of the following is NOT a property of a rhombus?
All sides are congruent.
Diagonals are congruent.
Diagonals are perpendicular bisectors of each other.
Opposite angles are congruent.
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.