High School Geometry Quiz

A quadrilateral is a parallelogram if

• opposite sides are parallel

• opposite sides are congruent

• opposite angles are congruent

• the diagonals bisect each other

• adjacent sides are congruent

Answer explanation

If the quadrilateral is a trapezoid, then

• it will have 4 sides

• it will have one pair of parallel sides

• it will have one pair of opposite angles that are congruent

• the consecutive angles on the transversal will be supplementary

• it will have one pair of right angles

Answer explanation

If the diagonals are congruent, then the quadrilateral can be a

• rectangle

• square

• isosceles trapezoid

• rhombus

• trapezoid

Answer explanation

If the diagonals are perpendicular, then the quadrilateral can be a

• rhombus

• square

• kite

• rectangle

• trapezoid

Answer explanation

If it has 4 right angles, then the quadrilateral can be

• rectangle

• square

• rhombus

• trapezoid

• kite

Answer explanation

If it has 4 congruent sides, then the quadrilateral can be

• rhombus

• square

• isosceles trapezoid

• triangle

• trapezium

Answer explanation

Which quadrilateral(s) has(have) diagonals that are perpendicular (the answer is in ABC order)

Answer explanation

Which quadrilateral(s) has(have) four congruent sides ((the answer is in ABC order)

Answer explanation

Which quadrilateral(s) has(have) congruent diagonals (the answer is in ABC order)

Answer explanation

Find x and y.

• x = 16 and y = 40

• x = 67 y = 40

• x = 113 and y = 63