Properties of Rectangle, Rhombus, and Square

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9 Questions

What geometric figure can be used to find measures of angles, sides, and other quantities?

Rectangle

Which of the following shapes is NOT mentioned in the given text?

Hexagon

If a quadrilateral has two pairs of parallel sides and equal adjacent sides, which shape does it most likely resemble?

Rhombus

If a rectangle has a diagonal length of 10 units, what is the perimeter of the rectangle?

$25$ units

For a rhombus with a side length of 8 units, what is the measure of each angle?

120 degrees

What is the relationship between the side length and the diagonal length of a square?

Diagonal length is the square root of 2 times the side length

In a rectangle, what is the relationship between the length and the width?

The length can be greater than, less than, or equal to the width

For a rhombus, what is the relationship between the diagonals?

The diagonals can be equal in length and perpendicular, but not necessarily

What is a unique property of the angles in a square?

All angles are right angles

Study Notes

Geometric Figures and Shapes

  • A geometric figure can be used to find measures of angles, sides, and other quantities.

Quadrilaterals

  • A quadrilateral with two pairs of parallel sides and equal adjacent sides resembles a rectangle.
  • A rhombus has equal adjacent sides.

Rectangles

  • If a rectangle has a diagonal length of 10 units, its perimeter can be calculated.
  • In a rectangle, the length is not equal to the width.
  • The diagonal length of a rectangle is related to its side length.

Rhombus

  • In a rhombus, each angle measure is 360° / 4 = 90°.
  • The diagonals of a rhombus are perpendicular bisectors of each other.

Squares

  • The side length of a square is equal to its diagonal length divided by √2.
  • All angles in a square are right angles (90°).

Test your knowledge on finding measures of angles, sides and other quantities involving rectangle, rhombus, and square with this quiz.

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