Properties of Rhombuses - Grade 12 Geometry
Explore the geometric properties of rhombuses, including sides, angles, diagonals, and their relationship to other quadrilaterals, with this Grade 12 worksheet.
Includes
Standards
Properties of Rhombuses
Name:
Date:
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Read each question carefully and answer to the best of your ability. Show all work where applicable.
1. Which of the following is NOT a property of a rhombus?
All four sides are congruent.
Opposite angles are congruent.
Diagonals are congruent.
Diagonals bisect each other at right angles.
2. If the diagonals of a quadrilateral are perpendicular bisectors of each other, then the quadrilateral is a:
Rectangle
Square
Parallelogram
Rhombus
3. A rhombus is a parallelogram with all four congruent.
4. The diagonals of a rhombus the opposite angles.
5. In a rhombus, the sum of the measures of any two consecutive angles is degrees.
6. Given a rhombus with diagonals of length 10 cm and 24 cm, find the perimeter of the rhombus.
7. The diagonals of a rhombus are (2x + 4) and (5x - 2). If one diagonal is 16 units long, find the length of the other diagonal.
8. All rhombuses are squares.
True
False
9. The diagonals of a rhombus bisect its angles.
True
False
10. In rhombus ABCD, the measure of angle ABC is 120 degrees. Find the measure of angle BAC.
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