WorksheetsSquare, Rhombus, Rectangle
Total questions: 20
Worksheet time: 20mins
In rhombus TIGE, diagonals TG and IE intersect at R. The perimeter of TIGE is 68, and IE = 30. What is the length of diagonal TG?
8
16
15
17
The diagram below shows parallelogram ABCD with diagonals AC and BD intersecting at E. What additional information is sufficient to prove that parallelogram ABCD is also a rhombus?
AB is parallel to CD
AC is congruent to BD
BD bisects AC
AC is perpendicular to BD
A parallelogram must be a rhombus if its diagonals
are congruent
bisect each other
do not bisect its angles
are perpendicular to each other
Which information is not sufficient to prove that a parallelogram is a square?
The diagonals are both congruent and perpendicular.
The diagonals are congruent and one pair of adjacent sides are congruent.
The diagonals are perpendicular and one pair of adjacent sides are congruent.
The diagonals are perpendicular and one pair of adjacent sides are perpendicular.
Which of the following group of quadrilaterals have diagonals that are perpendicular to each other?
All of the above
II, III and IV
II and IV, only
III and IV, only
Which of the following group of quadrilaterals have congruent diagonals?
All of the above
II, III and IV
II and IV, only
III and IV, only
Which information is sufficient to prove that a parallelogram is a square?
The diagonals are perpendicular and one pair of adjacent sides are congruent.
The diagonals are congruent and the adjacent sides are perpendicular.
The diagonals bisect each other and one pair of adjacent sides are perpendicular.
The diagonals are both congruent and perpendicular.
A parallelogram is a square if it has all the properties of
a rhombus and rectangle
a parallelogram and rhombus
a parallelogram and rectangle
trapezoid and rhombus
Which property is shown in the parallelogram that makes it a rectangle?
Diagonals are perpendicular to each other
Diagonals bisect each other
opposite sides congruent
Diagonals are congruent to each other
Which property is shown in the parallelogram that makes it a rhombus?
Opposite sides are congruent
Diagonals are perpendicular to each other
Adjacent sides are congruent
Diagonals are congruent
Which property is shown in the parallelogram that makes it a rhombus?
Diagonals are perpendicular to each other
Diagonals are congruent to each other
Diagonals are bsiect each other
Adjacent sides are perpendicular
Which property is shown in the parallelogram that makes it a rhombus?
Diagonals are perpendicular to each other
Diagonals bisect each other
Diagonals bisect their respective angles
Diagonals are congruent
The diagram below shows parallelogram ABCD with diagonals AC and BD intersecting at E. What additional information is sufficient to prove that parallelogram ABCD is also a rectangle?
AC is perpendicular to BD
AC bisects BD
AC is congruent to BD
AC and BD bisect their respective angles
A parallelogram is a rhombus if
Diagonals are congruent
Diagonals bisect each other
Opposite sides are congruent
Diagonals bisect their respective angles
What does it mean to have diagonals bisect each other?
That go across each other
The point where diagonals meet is the midpoint
The angles are congruent
The full diagonal line is congruent to the other diagonal line
A rectangle is a parallelogram with
four congruent sides
four congruent diagonals
four acute angles
four congruent angles
The diagonals of a rectangle are
parallel
congruent
perpendicular
not congruent
The diagonals of a rhombus
never intersect
bisect the opposite angles
are congruent
bisect the sides
What does it mean if diagonals are perpendicular (⊥)?
They bisect the vertex
Where they intersect is a 90˚ angle
They are equal
A Rhombus has congruent ________
Angles
Sides
Windows
Doors
