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# Do the diagonals of a rectangle always form four congruent triangles?

## Do the diagonals of a rectangle always form four congruent triangles?

The diagonals of a rectangle always form four congruent triangles. If the diagonals of a quadrilateral are perpendicular, then the quadrilateral must be a kite.

Do the diagonals of a kite form 4 congruent triangles?

Diagonals are perpendicular bisectors of each other.

• A diagonal bisects 2 angles.
• All sides are congruent.
• The diagonals divide the figure into 4 congruent triangles.
• ### Do diagonals form four congruent isosceles right triangles?

Types of Parallelograms 3) Diagonals form 4 congruent isosceles right triangles Page 6 Example 33.2 The diagonals of a certain parallelogram are of unequal length.

Do diagonals form 2 congruent triangles?

Both pairs of opposite sides are parallel, both pairs of opposite sides are congruent, opposite angles are congruent, one diagonal forms two congruent triangles, diagonals bisect each other, all consecutive angles are supplementary.

## Can a parallelogram be divided into 4 congruent triangles?

If two lines parallel to sides of a parallelogram are constructed concurrent to a diagonal, then the parallelograms formed on opposite sides of that diagonal are equal in area. The diagonals of a parallelogram divide it into four triangles of equal area.

What does it mean for 2 triangles to be congruent?

Congruent triangles have both the same shape and the same size.

### Are diagonals of a kite equal?

Properties of the Diagonals of a Kite The two diagonals are not of the same length. The diagonals of a kite intersect each other at right angles. It can be observed that the longer diagonal bisects the shorter diagonal. A pair of diagonally opposite angles of a kite are said to be congruent.

Do 4 isosceles triangles make a square?

I) Well, a square is always four isosceles triangle rectangles and congruent, so it fits perfectly.

## Is an isosceles a right triangle?

An Isosceles Right Triangle is a right triangle that consists of two equal length legs. Since it is a right triangle, the angle between the two legs would be 90 degrees, and the legs would obviously be perpendicular to each other.

What are two congruent triangles formed by the two diagonals?

Parallelogram Theorem #1 Converse: If each of the diagonals of a quadrilateral divide the quadrilateral into two congruent triangles, then the quadrilateral is a parallelogram.

### Does the diagonal of a rectangle divides it into two congruent triangles?

Each diagonal divides the rectangle into two congruent right triangles. Because the triangles are congruent, they have the same area, and eachtriangle has half the area of therectangle.

Can a parallelogram be divided into two congruent triangles?

The diagonal divides a parallelogram Into two congruent triangles. The diagonals of a parallelogram divide it into triangles of equal area but they are not congruent. There will be two pairs of congruent triangles. Only in the case of a rhombus do we get four congruent triangles.

## Can a square be four congruent triangle Rectangles?

I) Well, a square is always four isosceles triangle rectangles and congruent, so it fits perfectly. Then, this is it. II) A square, is a special case of rhombus, but with more properties for which every square is a rhombus. Then, this is it.

How are two opposite pairs of triangles congruent?

First, we’ll repeat the proof that the 2 opposite pairs of triangles are congruent: (15) Area ΔOBC = Area ΔAOB // (13), (14), (8) , triangles with equal bases and heights. And so we have proven that the diagonals of a parallelogram divide it into four triangles, all of which have equal areas.

### How are two disjoint pairs of consecutive sides congruent?

Two disjoint pairs of consecutive sides are congruent by definition. The diagonals are perpendicular. One diagonal is the perpendicular bisector of the other. One of the diagonals bisects a pair of opposite angles.