Are the diagonals of a rectangle are equal in length?
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 … | |