# hijk is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.

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## HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.

Answer:HIJK is a parallelogram because the midpoint of both diagonals is unique and intersect each other, which means the diagonals bisect each other.Step-by-step explanation:We are given the following in the question.HIJK is a parallelogram.So it satisfies the property of parallelogram.The diagonals of a parallelogram bisect each other.That is the intersection of the diagonals of the parallelogram is unique and divide the diagonals in two equal parts each.Thus,HIJK is a parallelogram because the midpoint of both diagonals is unique and intersect, which means the diagonals bisect each other. | Snapsolve

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## Question and Answer

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HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.

## Answer

**Answer:**

HIJK is a parallelogram because the midpoint of both diagonals is unique and intersect each other, which means the diagonals bisect each other.

**Step-by-step explanation:**

We are given the following in the question.

HIJK is a parallelogram.

So it satisfies the** property of parallelogram.**

The diagonals of a parallelogram bisect each other.

That is the intersection of the diagonals of the parallelogram is unique and divide the diagonals in two equal parts each.

Thus,

**HIJK is a parallelogram because the midpoint of both diagonals is unique and intersect, which means the diagonals bisect each other.**

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## HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the

HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect… Get the answers you need, now!

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HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.

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**Answer:**

HIJK is a parallelogram because the midpoint of both diagonals is unique and intersect each other, which means the diagonals bisect each other.

**Step-by-step explanation:**

We are given the following in the question.

HIJK is a parallelogram.

So it satisfies the** property of parallelogram.**

The diagonals of a parallelogram bisect each other.

That is the intersection of the diagonals of the parallelogram is unique and divide the diagonals in two equal parts each.

Thus,

**HIJK is a parallelogram because the midpoint of both diagonals is unique and intersect, which means the diagonals bisect each other.**

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### Answer Expert Verified

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**HIJK**is the

**parallelogram**

The **mid point **of both the **diagonals** is **unique** and divides both parts of same **diagonal** in equal** ratios **, which means the** diagonals** **bisect **each other.

A **parallelogram **is a quadrilateral with **opposite **sides equal and **parallel** to each other. The adjacent angles of **parallelogram** are not equal to **90° **rather they have one pair of **equal** and **opposite **acute angles and one pair of **equal **and **opposite** obtuse angles.

The** figure** is attached

From the** figure **we can write

**OH**=

**OJ**

**OK**=

**OI**

According to the **property **of **parallelogram** the **diagonals **of a **parallelogram** bisect each other.

So we can see that for a **parallelogram** **HIJK**

The **mid point **of both the **diagonals** is **unique** and divides both parts of same diagonal in equal ratios , which means the** diagonals** **bisect **each other.

For more information please refer to the link given below

brainly.com/question/9680084

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In the diagram, AB = 10 and AC = 2√10. What is the perimeter of ABC?

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d. 20 + 2√10 units

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HIJK is a parallelogram because the midpoint of both diagonals is _________ 2)7,) means the diagonals bisect each other.

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1, 0

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1/15 Created by Karthi_Ramiah

### Terms in this set (15)

In the diagram, AB = 10 and AC = 2√10. What is the perimeter of ABC?

d. 20 + 2√10 units

HIJK is a parallelogram because the midpoint of both diagonals is _________ 2)7,) means the diagonals bisect each other.

1, 0

In the diagram, ZY = WX = 2√10. What is the perimeter of rectangle WXYZ?

c. 6√10 units

Which statement proves that quadrilateral JKLM is a kite?

b. LM = JM = 3 and JK = LK = √17

The perimeter of kite WXYZ is 2√53 + 10 units

10

The perimeter of rhombus ABCD is _____ units.

20

LMNP is a parallelogram.

What additional information would prove that LMNP is a rectangle?

d. LP _|_ PN

Which statement proves that parallelogram KLMN is a rhombus?

d. The slope of KM is 1 and the slope of NL is -1.

In the diagram, DG || EF. What additional information would prove that DEFG is an isosceles trapezoid?

a. DE ~= GF

Triangle ABC is an isosceles triangle in which AB = AC. What is the perimeter of ABC?

c. 10 + √10 units

The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?

a. Use the distance formula to find the length of each side, and then add the lengths.

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d. 9 + √2 + √5 units

In the diagram m, WZ = √26. The perimeter of parallelogram WXYZ is 2√26 + _____ units.

8

What is the perimeter of LMN?

d. 8 + √10 units

Which statement proves that the diagonals of square PQRS are perpendicular bisectors of each other?

d. The midpoint of both diagonals is (4 1/2, 5 1/2), the slope of RP is 7, and the slope of SQ is -1/7

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