## How do you show that the diagonals are congruent?

By using SAS congruence rule, we can say that if one side and one angle of any triangles are congruent then the triangles are congruent. By this we can prove the diagonals of the rectangle are congruent.

**Are the diagonals in a rectangle congruent?**

The rectangle has the following properties: All angles are right angles by definition. The diagonals are congruent.

### What makes a rectangle congruent?

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. Opposite angles of a rectangle are congruent.

**Are diagonals of a rectangle perpendicular?**

The diagonals of a rectangle are perpendicular to each other.

#### What are diagonals in a rectangle?

Diagonals are the line segments that connect two non-adjacent vertices of polygons. Rectangles have two diagonals that connect two opposite vertices. They are the same size.

**Are diagonals in a rectangle perpendicular?**

## What is a congruent rectangle?

**What do we know about the diagonals in a rectangle?**

A rectangle has two diagonals. Each diagonal bisects the other. In other words, the point where the diagonals intersect (cross), divides each diagonal into two equal parts. Each diagonal divides the rectangle into two congruent right triangles.

### What is true about the diagonal of rectangle?

**How do you find the diagonal of a rectangle?**

You can find the diagonal of a rectangle if you have the width and the height. The diagonal equals the square root of the width squared plus the height squared.

#### Does rectangle have both diagonals equal?

The rectangle is a symmetrical shape and has both the diagonals equal in length . A diagonal will divide the rectangle into two right angle triangles. Therefore we can easily calculate the length of diagonals using the Pythagoras Theorem, where the diagonals are considered as hypotenuse of the right triangle.

**Do the diagonals of rectangle bisect the angles?**

The diagonals of a rectangle will only bisect the angles if the sides that meet at the angle are equal: in other words, only if the rectangle is a square. Another way to think of it: the angle is a right-angle, and the angle bisector must come out at a half right-angle to the sides.

## What rectangle with all four sides are congruent?

Rhombus A rhombus is a parallelogram with four congruent sides. If a parallelogram has two consecutive sides congruent, it is a rhombus. A parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles. A parallelogram is a rhombus if and only if the diagonals are perpendicular.

**Does rectangle have four right angles?**

A square is a special kind of rectangle. A rectangle is a quadrilateral that has four right angles and two pairs of equal opposite sides. Since the four sides of a rectangle are not required to be equal, all squares are rectangles, but not all rectangles are squares.

0