Understanding Rhombuses

What is a key property that rhombuses share with parallelograms?

• Diagonals are perpendicular.

• Opposite sides are congruent.

• Diagonals bisect the angles.

• All sides are equal.

Which of the following is a unique property of rhombuses?

• Opposite angles are congruent.

• Diagonals bisect each other.

• All sides are congruent.

• Consecutive angles are supplementary.

What happens when the diagonals of a rhombus intersect?

• They form obtuse angles.

• They do not intersect.

• They form acute angles.

• They form right angles.

In a rhombus, if one side is known, what can be said about the other sides?

• They are half the known side.

• They are twice the known side.

• They are all equal.

• They are all different.

How do you find the length of side CD in a rhombus if you know one side?

• Multiply the known side by 2.

• Divide the known side by 2.

• Set it equal to the known side.

• Use the Pythagorean theorem.

What is the value of x if 2x - 17 = 3 in the context of finding side CD?

• 20

• 10

• 15

• 5

What is the length of side CD if x = 10 and CD = x + 3?

• 13

• 15

• 12

• 10

Which theorem is used to find side AB in a rhombus when diagonals are known?

• Pascal's theorem

• Ceva's theorem

• Pythagorean theorem

• Thales' theorem

If one diagonal of a rhombus is 4 and the other is 3, what is the length of side AB?

• 3

• 4

• 5

• 6

What is the square root of 25, which is used to find side AB?

• 6

• 4

• 3

• 5