Rectangle, Rhombus, 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

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

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.

Tags

CCSS.HSG.CO.C.11

Which property is shown in the parallelogram that makes it a rectangle?

• Diagonals are perpendicular

• Adjacent sides are perpendicular

• Diagonals bisect each other

• Opposite angles are congruent

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

A parallelogram is a rectangle if

• Adjacent sides are perpendicular

• Diagonals are perpendicular

• Opposite sides are congruent

• Opposite angles are congruent

Tags

CCSS.HSG.CO.C.11

A parallelogram is a rhombus if

• Diagonals are congruent

• Diagonals bisect each other

• Opposite sides are congruent

• Diagonals bisect their respective angles

Tags

CCSS.HSG.CO.C.11

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.

Tags

CCSS.HSG.CO.C.11