Match the columns: Column I (Parallelogram) Column II (Values of x and y ) a. (i) x = 10 y = 6 b. (ii) x = 4 y = 3 c. (iii) x = 60 ° y = 120 ° d. (iv) x = 100 ° y = 80 °

We need to match the parallelogram with their values. Take the first parallelogram, We know that diagonals bisect each other in parallelograms. In the bisected diagonal, first part has value x and second part has a value 4 . So, x = 4 Similarly, we see that in the other diagonal. So, y = 3 So, option a is matched with (ii). Take the second parallelogram, We know that opposite angles of a parallelogram are equal. Here, x is opposite to 60 ° . Since, adjacent angles of a parallelogram are supplementary, y + 60 ° = 180 ° y = 120 ° So, option b is matched with (iii). Take the third parallelogram, We know that the opposite sides of a parallelogram are equal. Here, x is opposite to 10 and y is opposite to 6 . So, x = 10 and y = 6 So, option c is matched with (i). Take the last parallelogram, We know that opposite angles of a parallelogram are equal. Here, x is opposite to 100 ° and y is opposite to 80 ° . So, x = 100 ° and y = 80 ° . So, option d is matched with (iv). So, the final table is shown below. Column I (Parallelogram) Column II (Values of x and y ) a. (ii) x = 4 y = 3 b. (iii) x = 60 ° y = 120 ° c. (i) x = 10 y = 6 d. (iv) x = 100 ° y = 80 °

E M B I B E

NCERT Practice Workbook Mathematics>Chapter 3 - Understanding Quadrilaterals>Worksheet 3>Q 7

MEDIUM

8th CBSE

IMPORTANT

Earn 100

Explain how a square is a rectangle.

Important Questions on Understanding Quadrilaterals

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 3 - Understanding Quadrilaterals>Worksheet 3>Q 8

A photo frame is in the shape of a quadrilateral with one diagonal longer than the other. Is it a rectangle? Why or why not?

MEDIUM

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 3 - Understanding Quadrilaterals>Worksheet 3>Q 8

Which type of quadrilateral is an example of equiangular but not equilateral?

MEDIUM

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 3 - Understanding Quadrilaterals>Worksheet 4>Q 1

One of the diagonals of a rhombus is equal to a side of the rhombus. The angles of the rhombus are

MEDIUM

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 3 - Understanding Quadrilaterals>Worksheet 4>Q 1

A B C D

is a rhombus. If

A C B = 40 °

, then

∠ A D B

is equal to

MEDIUM

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 3 - Understanding Quadrilaterals>Worksheet 4>Q 1

The diagonals of a parallelogram

A B C D

intersect at

O

. If

∠ B O C = 90 °

and

∠ B D C = 50 °

, then

∠ O A B

is equal to

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 3 - Understanding Quadrilaterals>Worksheet 4>Q 1

If two adjacent angles of a parallelogram are $(5 x - 5) °$ and $(10 x + 35) °$ , then the ratio of these angles is

MEDIUM

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 3 - Understanding Quadrilaterals>Worksheet 4>Q 1

The angles of a quadrilateral are in the ratio $1 : 2 : 3 : 4$ .The smallest angle is

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 3 - Understanding Quadrilaterals>Worksheet 4>Q 2

Match the columns:

Column I (Parallelogram)	Column II (Values of $x$ and $y$ )
a.	(i) $x = 10 y = 6$
b.	(ii) $x = 4 y = 3$
c.	(iii) $x = 60 ° y = 120 °$
d.	(iv) $x = 100 ° y = 80 °$

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