What makes diagonals congruent




















Best Answer. Isosceles trapezoids, squares, and rectangles. Study guides. Q: What polygon has congruent diagonals? Write your answer Related questions. What figure will always have congruent diagonals? Which polygon must have congruent diagonals? Are diagonals in a trapezoid congruent? Do kites have congruent diagonals? Are the diagonals congruent in a rhombus?

What is the name of a regular polygon that has 95 diagonals? What has congruent diagonals that is not a rectangle? Are the diagonals of a trapezoid always congruent? What is a trapezoid with congruent diagonals? In which parallelogram are the diagonals congruent? Are the diagonals of a rhombus always congruent? Are the diagonals of any trapezoid congruent? What polygon are congruent? Are the diagonals of a parallelogram are congruent? In any parallelogram are the diagonals congruent?

Are the diagonals of a parallelogram congruent? How many diagonals does a polygon with 3 sides have? About us Contacts Popular questions Resent questions. What quadrilaterals have congruent diagonals? If a parallelogram is a rectangle, then its diagonals are congruent. If one angle of a parallelogram is a right angle, then the parallelogram is a rectangle. If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle. If a quadrilateral is a rhombus, then it is a parallelogram.

Bearing this in mind what quadrilaterals must have congruent diagonals? A parallelogram with congruent diagonals must be a rectangle. Some rhombuses are rectangles. The diagonals of a rhombus are congruent. Considering that fact, what always has congruent diagonals? Answer: Rectangle always have congruent diagonals. In like manner what quadrilaterals do not have congruent diagonals? Most quadrilateral will not have congruent diagonals: rectangles incl squares and isosceles trapezium are the exception.

Read full answer Thanks 5. Do you have your own answer or clarification? Email address. You answer. Your reply has been sent for moderation. Related questions and answers Are diagonals of a parallelogram congruent? The diagonals of a parallelogram are sometimes congruent. The diagonals of a rhombus are always perpendicular. The consecutive angles of a parallelogram are never complementary. Are all angles congruent in a rhombus?

Proof that the diagonals of a rhombus are perpendicular Corresponding parts of congruent triangles are congruent, so all 4 angles the ones in the middle are congruent. This leads to the fact that they are all equal to 90 degrees, and the diagonals are perpendicular to each other.

What are the 4 properties of a kite? Kite properties include 1 two pairs of consecutive, congruent sides, 2 congruent non-vertex angles and 3 perpendicular diagonals. Other important polygon properties to be familiar with include trapezoid properties, parallelogram properties, rhombus properties, and rectangle and square properties.

What are the 4 properties of a rhombus? A rhombus is a quadrilateral which has the following four properties: Opposite angles are equal. All sides are equal and, opposite sides are parallel to each other. A quadrilateral that has diagonals that bisect and are perpendicular must be a square.

A kite with congruent diagonals is a square. Given this, what shapes congruent diagonals? A B in these quadrilaterals, the diagonals are congruent rectangle, square, isosceles trapezoid in these quadrilaterals, each of the diagonals bisects a pair of opposite angles rhombus, square in these quadrilaterals, the diagonals are perpendicular rhombus, square a rhombus is always a parallelogram. Read full answer Thanks Do you have your own answer or clarification?

Email address. You answer. Your reply has been sent for moderation. Related questions and answers Does diagonals of a rectangle bisect each other at 90 degree? The diagonals of a rectangle are congruent. Some properties of rectangles are mentioned in the points below.

The diagonals of a rectangle bisect each other. Do diagonals of square bisect each other? A square is a special case of an isosceles trapezoid, kite, parallelogram, quadrilateral, rectangle, rhombus, and trapezoid. The diagonals of a square bisect one another and are perpendicular illustrated in red in the figure above.

In addition, they bisect each pair of opposite angles illustrated in blue. Are all sides of a rhombus equal? Rhombus is a special type of a parallelogram whose all sides are equal. The difference between a square and rhombus is that all angles of a square are right angles, but the angles of a rhombus need not be right angles. Is a rhombus and a diamond the same? The main difference between Diamond and Rhombus is that the Diamond is a allotrope of carbon and Rhombus is a quadrilateral in which all sides have the same length.

Diamond is less stable than graphite, but the conversion rate from diamond to graphite is negligible at standard conditions. Are diagonals of a kite congruent? Are the two diagonals of a rectangle equal Why? Yes, the diagonals of a rectangle are equal. This is because the two diagonals are the hypotenuse of the two right angled triangles formed by the diagonals. Since, the height and base of the two triangles are equal, by Pythagoras Theorem, the hypotenuse of the triangles are also equal.

Is a kite a rhombus? Kite: A quadrilateral with two pairs of adjacent sides that are equal in length; a kite is a rhombus if all side lengths are equal.

What does congruent mean? Congruent means same shape and same size. So congruent has to do with comparing two figures, and equivalent means two expressions are equal.



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