Properties and Theorems of Rhombuses

This video tutorial explores the properties of rhombuses, including their congruent sides, diagonal properties, and angle relationships. It explains how rhombuses differ from squares and highlights the unique characteristics of their diagonals, such as being mutually bisecting and perpendicular. The video also covers the supplementary and congruent nature of angles in rhombuses. Through problem-solving exercises, viewers learn to apply these properties, including using the Pythagorean theorem to solve advanced geometric problems involving rhombuses.

What is a defining property of a rhombus?

• All angles are 90 degrees

• All sides are congruent

• Diagonals are parallel

• It has no lines of symmetry

How does a square differ from a general rhombus?

• A square has all sides different

• A square has 90-degree angles

• A square has no diagonals

• A square is not a type of rhombus

What is true about the diagonals of a rhombus?

• They are parallel

• They bisect each other at right angles

• They are equal in length

• They do not intersect

What is a unique feature of the diagonals in a rhombus?

• They form acute angles

• They are longer than the sides

• They are not bisecting

• They are lines of symmetry

What is true about angles next to each other in a rhombus?

• They are always 90 degrees

• They are complementary

• They are supplementary

• They are equal

In a rhombus, what is true about opposite angles?

• They are always 45 degrees

• They are complementary

• They are congruent

• They are supplementary

If one diagonal of a rhombus is 18, what is each half of it?

• 9

• 18

• 6

• 12

What is the measure of angle EDC if it is given as 34 degrees?

• 90 degrees

• 56 degrees

• 68 degrees

• 34 degrees

What theorem is used to solve for missing sides in a right triangle?

• Pythagorean theorem

• Congruence theorem

• Triangle inequality theorem

• Angle sum theorem

If one side of a right triangle is 3 and the hypotenuse is 5, what is the other side?

• 3

• 5

• 6

• 4