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QUESTION: 1

Which of the following quadrilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?

Solution:

**Correct Answer :- b**

**Explanation:- A rhombus is a parallelogram and a quadrilateral whose opposite sides are parallel and opposite angles are equal.**

**Area of Rhombus, A = (d1 x d2)/2**

**The perimeter of Rhombus, P = 4a units**

**The opposite angles of a rhombus are equal to each other.**

**In a rhombus, diagonals bisecting each other at right angles.**

**Diagonals bisect the angles of a rhombus**

QUESTION: 2

If the sides of a triangle are produced in order,What is the sum of the exterior angles so formed?

Solution:

Suppose you have a ∆ABC

All the exterior angles will be equal to

(180-A)°

(180-B)°

(180-C)°

respectively (Angles on the same line) so if you sum it up it will be equal to 540 - (A+ B + C )

And by angle sum property A+B+C = 180°

Therefore Sum = 540 - 180 = 360°

QUESTION: 3

Given a parallelogram ABCD. AD = ....

Solution:
BC ( because of opposite sides of the parallelogram are equal = )

QUESTION: 4

The sum of the measures of the three angles of a triangle is ______.

Solution:

Angle sum property of a triangle is that sum of 3 angles is 180º

QUESTION: 5

The ________ of a rhombus are perpendicular bisectors of one another.

Solution:

QUESTION: 6

Find the value of the unknown x in this parallelogram.

Solution:

QUESTION: 7

The opposite sides of a parallelogram are of ________ length.

Solution:

It’s a property of parallelogram that opposite sides of a parallelogram are equal and parallel.

QUESTION: 8

Which of the parallelograms has all sides equal and diagonals bisect each other at right angle?

Solution:

If two adjacent sides of a parallelogram are equal, then it is a rhombus.. A quadrilateral whose diagonals bisect each other at right angles is a rhombus.

In square all sides are equal and every angle is right angle.

QUESTION: 9

Solution:

Rhombus, is a quadrilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles. A rhombus is a a parallelogram and a quadrilateral whose opposite sides are parallel and opposite angles are equal.

QUESTION: 10

State the name of a regular polygon of 5 sides.

Solution:

Pentagon have 5 sides .

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