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Special Quadrilaterals . Honors Geometry. True/False. Every square is a rhombus. TRUE – four congruent sides. True/False . If the diagonals of a quadrilateral are perpendicular, then it is a rhombus. False – diagonals don’t have to be congruent or bisect each other. True/False.

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Special quadrilaterals

Special Quadrilaterals

Honors Geometry


True false
True/False

Every square is a rhombus.



True false1
True/False

If the diagonals of a quadrilateral are perpendicular, then it is a rhombus.



True false2
True/False each other.

The diagonals of a rectangle bisect its angles.



True false3
True/False each other.

A kite with all consecutive angles congruent must be a square.


TRUE each other.


True false4
True/False each other.

Diagonals of trapezoids are congruent.



True false5
True/False each other.

A parallelogram with congruent diagonals must be a rectangle.


TRUE each other.


True false6
True/False each other.

Some rhombuses are rectangles.



True false7
True/False each other.

The diagonals of a rhombus are congruent.



True false8
True/False each other.

If the diagonals of a parallelogram are perpendicular, it must be a rhombus.


TRUE each other.


True false9
True/False each other.

Diagonals of a parallelogram bisect the angles.


FALSE each other.


True false10
True/False each other.

A quadrilateral that has diagonals that bisect and are perpendicular must be a square.



Sometimes always never
Sometimes/Always/Never each other.

A kite with congruent diagonals is a square.



Give the most descriptive name
Give the most each other.descriptive name:

A parallelogram with a right angle must be what kind of shape?


Rectangle each other.


Give the most descriptive name1
Give the most descriptive name: each other.

A rectangle with perpendicular diagonals must be what kind of shape?


SQUARE each other.


Give the most descriptive name2
Give the most descriptive name each other.

A rhombus with consecutive angles congruent must be a:


SQUARE each other.


Give the most descriptive name3
Give the most descriptive name: each other.

A parallelogram with diagonals that bisect its angles must be a:


Rhombus each other.


Proving that a quad is a rectangle
Proving that a Quad is a Rectangle each other.

  • If a parallelogram contains at least one right angle, then it is a rectangle.

  • If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

  • If all four angles of a quadrilateral are right angles, then it is a rectangle.


Proving that a quad is a kite
Proving that a Quad is a Kite each other.

  • If two disjoint pairs of consecutive sides of a quadrilateral are congruent, then it is a kite.

  • If one of the diagonals of a quadrilateral is the perpendicular bisector of the other diagonal, then it is a kite.


Proving that a quad is a rhombus
Proving that a Quad is a Rhombus each other.

  • If a parallelogram contains a pair of consecutive sides that are congruent, then it is a rhombus.

  • If either diagonal of a parallelogram bisects two angles of the parallelogram, then it is a rhombus.

  • If the diagonals of a quadrilateral are perpendicular bisectors of each other, then the quadrilateral is a rhombus.


Proving that a quad is a square
Proving that a Quad is a Square each other.

  • If a quadrilateral is both a rectangle and a rhombus, then it is a square.


Proving that a trapezoid is isosceles
Proving that a Trapezoid is Isosceles each other.

  • If the non-parallel sides of a trapezoid are congruent, then it is isosceles.

  • If the lower or upper base angles of a trapezoid are congruent, then it is isosceles.

  • If the diagonals of a trapezoid are congruent, then it is isosceles.


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