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Yes. You can show this by SAS of two right triangles. Consider rectangle ABCD. AD and BC are the same length and AC and BD are the same length because opposite sides are congruent. The angles ADC and BCD are congruent since it is a rectangle and the angles are right angles. So the triangles ADC and BCD are congruent and their hypotenuses (the diagonals of the rectangles) are congruent.
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Which quadrilaterals always have congruent diagonals?
rectangle and parallelogram
What quadrilaterals always have diagonals that are congruent?
A square and a rectangle have diagonals of the same lengths.
Are diagonals always congruent?
In a quadrilateral, the diagonals are only congruent for rectangles (or squares, which is a special kind of rectangle). Note: they are not congruent for a Rhombus.
What polygons always have congruent diagonals?
Regular polygons. A square and rectangle will have congruent (equal length) diagonals.
Which 3 quadrilaterals always have congruent diagonals?
square, rectangle and an isosceles trapezoid.
Should the diagonals of a parallelogram always be congruent?
No. The diagonals of a parallelogram are congruent if and only if the parallelogram is a rectangle.
Which quadrilaterals always have congruent diagonals?
rectangle and parallelogram
What quadrilaterals always have diagonals that are congruent?
A square and a rectangle have diagonals of the same lengths.
Are diagonals always congruent?
In a quadrilateral, the diagonals are only congruent for rectangles (or squares, which is a special kind of rectangle). Note: they are not congruent for a Rhombus.
What polygons always have congruent diagonals?
Regular polygons. A square and rectangle will have congruent (equal length) diagonals.
Which 3 quadrilaterals always have congruent diagonals?
square, rectangle and an isosceles trapezoid.
What are the diagonals of a rectangle?
congruent
The diagonals of a rectangle are?
congruent
In which quadrilateral are the diagonals always congruent?
The diagonals of a rhombus are always congruent. A rhombus is a quadrilateral with all sides of equal length. Due to its symmetry, the diagonals of a rhombus bisect each other at right angles, and they are always of the same length. This property distinguishes a rhombus from other quadrilaterals like rectangles or parallelograms.
What is the Rectangle Diagonals Conjecture?
The diagonals of a rectangle are congruent and they bisect each other.
The diagonals of a parallelogram are congruent?
No, the diagonals of a parallelogram are not normally congruent unless the parallelogram is a rectangle.
In any parallelogram are the diagonals congruent?
The diagonals are not congruent unless the parallelogram happens to be a rectangle.
