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

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

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

Tags

CCSS.HSG.CO.C.11

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

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 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

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

A parallelogram is a rhombus if

• Adjacent sides are congruent

• Diagonals bisect each other

• Opposite sides are congruent

• Adjacent sides are perpendicular

Tags

CCSS.HSG.CO.C.11

Figure A is a...

• Rectangle

• Square

• Rhombus

Tags

CCSS.3.G.A.1

In a rhombus, opposite angles are __________.

• congruent

• supplementary

• corresponding

• parallel