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Properties of Parallelograms, Square, Rhombus, Rectangle

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Properties of Parallelograms, Square, Rhombus, Rectangle
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A parallelogram must be a rhombus if its diagonals

are congruent

bisect each other

do not bisect its angles

are perpendicular to each other

Tags

CCSS.HSG.CO.C.11

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A parallelogram is always a rectangle if

the diagonals are congruent

the diagonals bisect each other

the diagonals intersect at right angles

the opposite angles are congruent

Tags

CCSS.HSG.CO.C.11

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

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