# Are the diagonals of a rectangle are equal in length?

Table of Contents

## Are the diagonals of a rectangle are equal in length?

The diagonals of a rectangle have another important property − they are equal in length. The proof has been set out in full as an example, because the overlapping congruent triangles can be confusing. The diagonals of a rectangle are equal.

## Who have diagonals of equal length?

Properties of the diagonals in some quadrilaterals

Quadrilateral | Bisecting diagonals | Equal diagonals |
---|---|---|

Parallelogram | Yes | No |

Kite | See note 2 | See note 2 |

Rectangle | Yes | Yes |

Rhombus | Yes | No |

## What is the name of an equilateral rectangle?

equilateral rectangle | |
---|---|

Equilateral rectangle | |

SQUARE | |

Equilateral triangle or rectangle, e.g. | |

GEOMETRIC FIGURE |

## Do all rectangles have the same length?

Opposite sides of a rectangle are the same length (congruent). The angles of a rectangle are all congruent (the same size and measure.) Remember that a 90 degree angle is called a “right angle.” So, a rectangle has four right angles.

## What is true for all rectangles?

All rectangles are made up of right-angled triangles. The angles of a rectangle are all congruent. The diagonals of a rectangle intersect in a right angle. A rectangle has one pair of opposite sides of equal length.

## Which shape has more sides?

2D Shapes

Triangle – 3 Sides | Square – 4 Sides |
---|---|

Pentagon – 5 Sides | Hexagon – 6 sides |

Heptagon – 7 Sides | Octagon – 8 Sides |

Nonagon – 9 Sides | Decagon – 10 Sides |

More … |