Proving Rectangle, Rhombus, and Square

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

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

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

• Adjacent sides are congruent

• Diagonals bisect each other

• Opposite sides are congruent

• Adjacent sides are perpendicular

Figure A is a...

• Rectangle

• Square

• Rhombus

In a rhombus, opposite angles are __________.

• congruent

• supplementary

• corresponding

• parallel