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.

Grade 12 Math GeometryProperties of Rhombuses

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.C.11CCSS.MATH.CONTENT.HSG.SRT.B.5

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Properties of Rhombuses

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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.