Properties of Rectangle, Rhombus, and Square
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Questions and Answers

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

  • Rectangle (correct)
  • Triangle
  • Circle
  • Pentagon

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

  • Rhombus
  • Square
  • Rectangle
  • Hexagon (correct)

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

  • Rhombus (correct)
  • Trapezoid
  • Square
  • Rectangle

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

<p>$25$ units (C)</p> Signup and view all the answers

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

<p>120 degrees (C)</p> Signup and view all the answers

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

<p>Diagonal length is the square root of 2 times the side length (A)</p> Signup and view all the answers

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

<p>The length can be greater than, less than, or equal to the width (B)</p> Signup and view all the answers

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

<p>The diagonals can be equal in length and perpendicular, but not necessarily (D)</p> Signup and view all the answers

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

<p>All angles are right angles (A)</p> Signup and view all the answers

Flashcards

Rectangle

A four-sided shape with four right angles and opposite sides equal.

Rhombus

A four-sided shape with all sides equal and opposite sides parallel.

Square

A four-sided shape with all sides equal and all angles right angles.

Diagonal

The distance across a rectangle or other shape.

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Perimeter

The sum of the lengths of all sides of a shape.

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Side length and diagonal length relationship in a square

The relationship between the side length and the diagonal length of a square is that the diagonal length is the square root of 2 times the side length.

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Length and width relationship in a rectangle

The relationship between the length and the width of a rectangle is that the length can be greater than, less than, or equal to the width.

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Diagonals of a Rhombus

The diagonals of a rhombus are always perpendicular to each other and also bisect each other.

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Angles in a square

All angles in a square are right angles (90 degrees).

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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°).

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

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