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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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Presentation Transcript
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

The diagonals of a rectangle bisect its angles.

true false3
True/False

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

true false4
True/False

Diagonals of trapezoids are congruent.

true false5
True/False

A parallelogram with congruent diagonals must be a rectangle.

true false6
True/False

Some rhombuses are rectangles.

true false7
True/False

The diagonals of a rhombus are congruent.

true false8
True/False

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

true false9
True/False

Diagonals of a parallelogram bisect the angles.

true false10
True/False

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

sometimes always never
Sometimes/Always/Never

A kite with congruent diagonals is a square.

give the most descriptive name
Give the most descriptive name:

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

give the most descriptive name1
Give the most descriptive name:

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

give the most descriptive name2
Give the most descriptive name

A rhombus with consecutive angles congruent must be a:

give the most descriptive name3
Give the most descriptive name:

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

proving that a quad is a rectangle
Proving that a Quad is a Rectangle
  • 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
  • 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
  • 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
  • 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
  • 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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