#1
Which of the following statements is true about a rectangle?
Opposite sides are equal and parallel
ExplanationRectangles have opposite sides that are equal in length and parallel to each other.
#2
What is the sum of the exterior angles of any convex quadrilateral?
360 degrees
ExplanationThe sum of the exterior angles of any convex quadrilateral is always 360 degrees.
#3
If a quadrilateral has opposite sides equal and parallel, what type of quadrilateral is it?
Parallelogram
ExplanationA quadrilateral with opposite sides equal and parallel is a parallelogram.
#4
If the diagonals of a quadrilateral bisect each other and are not necessarily equal, what type of quadrilateral is it?
Parallelogram
ExplanationA quadrilateral with bisecting diagonals, not necessarily equal, is a parallelogram.
#5
If a quadrilateral has two pairs of adjacent sides equal, what type of quadrilateral is it?
Rectangle
ExplanationA quadrilateral with two pairs of adjacent sides equal is a rectangle.
#6
What is the sum of the interior angles of a quadrilateral?
360 degrees
ExplanationThe sum of the interior angles of any quadrilateral is always 360 degrees.
#7
If a quadrilateral is a parallelogram, what can be said about its opposite angles?
They are supplementary
ExplanationOpposite angles in a parallelogram are supplementary, meaning they add up to 180 degrees.
#8
In a kite, what can be said about its adjacent angles?
They are supplementary
ExplanationAdjacent angles in a kite add up to 180 degrees, making them supplementary.
#9
What is the condition for a quadrilateral to be a square?
All angles are right angles
ExplanationA square is a quadrilateral with all interior angles measuring 90 degrees.
#10
What is the sum of the angles in a cyclic quadrilateral?
360 degrees
ExplanationThe sum of the angles in a cyclic quadrilateral always adds up to 360 degrees.
#11
In a rhombus, what is the relationship between the diagonals?
They are perpendicular bisectors of each other
ExplanationDiagonals of a rhombus are perpendicular to each other and bisect each other.
#12
What is the special property of a trapezoid regarding its sides?
Exactly two sides are equal
ExplanationA trapezoid has exactly two sides that are parallel to each other.
#13
If the opposite angles of a quadrilateral are supplementary, what type of quadrilateral is it?
Rectangle
ExplanationA quadrilateral with opposite angles that are supplementary is a rectangle.
#14
In a parallelogram, what is the relationship between the diagonals?
They bisect each other
ExplanationDiagonals of a parallelogram bisect each other, dividing each other into two equal parts.
#15
If a quadrilateral has all sides equal and all angles equal, what type of quadrilateral is it?
Square
ExplanationA quadrilateral with all sides equal and all angles equal is a square.