∆ DEF and ∆ LMN are congruent in the correspondence EDF ↔ LMN . Write the pairs of congruent sides and congruent angles in the correspondence.

We know that, if two triangles are congruent then their corresponding sides and angles are also congruent. While writing the congruence of two triangles, we write the congruent vertices of both the triangles, as one to one correspondence. So, given that, EDF ↔ LMN . Congruent sides : ED ≅ LM , DF ≅ MN , EF ≅ LN . Congruent angles : ∠ E ≅ ∠ L , ∠ D ≅ ∠ M , ∠ F ≅ ∠ N .

∆ DEF and ∆ LMN are congruent in the correspondence EDF ↔ LMN . Write the pairs of congruent sides and congruent angles in the correspondence.

We know that, if two triangles are congruent then their corresponding sides and angles are also congruent. While writing the congruence of two triangles, we write the congruent vertices of both the triangles, as one to one correspondence. So, given that, EDF ↔ LMN . Congruent sides : ED ≅ LM , DF ≅ MN , EF ≅ LN . Congruent angles : ∠ E ≅ ∠ L , ∠ D ≅ ∠ M , ∠ F ≅ ∠ N .

The following tables show the number of male and female workers, under employment guarantee scheme, in villages A, B, C and D. Village A B C D Number of females 150 240 90 140 Number of males 225 160 210 110 Show the information by a sub-divided bar-diagram.

First let us find the total number of workers in all villages. Village A B C D Number of females 150 240 90 140 Number of males 225 160 210 110 Total workers 375 400 300 250 In the bar-diagram the names of towns on X-axis, keeping equal distances between two consecutive bars and number of labourers on Y-axis with the scale 1 cm = 50 workers. This is required bar-diagram.

The following tables show the number of male and female workers, under employment guarantee scheme, in villages A, B, C and D. Village A B C D Number of females 150 240 90 140 Number of males 225 160 210 110 Show the information by a percentage bar diagram

First let us find the percentage of females in all villages. Village A B C D Number of females 150 240 90 140 Number of males 225 160 210 110 Total workers 375 400 300 250 Percentage of female workers 150 375 × 100 = 40 % 240 400 × 100 = 60 % 90 300 × 100 = 30 % 140 250 × 100 = 56 % In a percentage bar graph, all bars are of height 100 units. In the bar-diagram, the names of towns on X-axis, keeping equal distances between two consecutive bars and percentage of males and females on Y-axis with the scale 1 cm = 20 workers. This is required bar-diagram.

EASY

8th Maharashtra Board

IMPORTANT

Earn 100

$∆ DEF$ and $∆ LMN$ are congruent in the correspondence $EDF \leftrightarrow LMN$ . Write the pairs of congruent sides and congruent angles in the correspondence.

Important Questions on Miscellaneous Exercise 2

MEDIUM

8th Maharashtra Board

IMPORTANT

Mathematics Standard Eight>Chapter 19 - Miscellaneous Exercise 2>Miscellaneous Exercise 2>Q 4

The cost of a machine is

₹ 2, 50, 000

. It depreciates at the rate of

4 %

per annum. The cost of the machine after three years is

₹ k

. Find the value of

k

EASY

8th Maharashtra Board

IMPORTANT

Mathematics Standard Eight>Chapter 19 - Miscellaneous Exercise 2>Miscellaneous Exercise 2>Q 5

□ ABCD

side

AB ∥

side

DC

, segment

AE ⊥

segment

DC

. If

l (AB) = 9 cm, l (AE) = 10 cm, A (ABCD) = 115 {cm}^{2}

l (DC) = k cm

, Find

k

MEDIUM

8th Maharashtra Board

IMPORTANT

Mathematics Standard Eight>Chapter 19 - Miscellaneous Exercise 2>Miscellaneous Exercise 2>Q 6

The diameter and height of a cylindrical tank is

1.75 m

and

3.2 m

respectively. The capacity of tank is

k litre

. Find the value of

k

(π = \frac{22}{7})

MEDIUM

8th Maharashtra Board

IMPORTANT

Mathematics Standard Eight>Chapter 19 - Miscellaneous Exercise 2>Miscellaneous Exercise 2>Q 7

The length of a chord of a circle of

16.8 cm

, radius is

9.1 cm

. Its distance from the centre is

k cm

. Find the value of

k

in decimal form.

MEDIUM

8th Maharashtra Board

IMPORTANT

Mathematics Standard Eight>Chapter 19 - Miscellaneous Exercise 2>Miscellaneous Exercise 2>Q 8

The following tables show the number of male and female workers, under employment guarantee scheme, in villages A, B, C and D.

Village	A	B	C	D
Number of females	$150$	$240$	$90$	$140$
Number of males	$225$	$160$	$210$	$110$

Show the information by a sub-divided bar-diagram.

MEDIUM

8th Maharashtra Board

IMPORTANT

Mathematics Standard Eight>Chapter 19 - Miscellaneous Exercise 2>Miscellaneous Exercise 2>Q 8

The following tables show the number of male and female workers, under employment guarantee scheme, in villages A, B, C and D.

Village	A	B	C	D
Number of females	$150$	$240$	$90$	$140$
Number of males	$225$	$160$	$210$	$110$

Show the information by a percentage bar diagram

EASY

8th Maharashtra Board

IMPORTANT

Mathematics Standard Eight>Chapter 19 - Miscellaneous Exercise 2>Miscellaneous Exercise 2>Q 9

Solve the following equation.

$17 (x + 4) + 8 (x + 6) = 11 (x + 5) + 15 (x + 3)$

MEDIUM

8th Maharashtra Board

IMPORTANT

Mathematics Standard Eight>Chapter 19 - Miscellaneous Exercise 2>Miscellaneous Exercise 2>Q 9

Solve the following equation. (Write the answer in fraction)

$\frac{3 y}{2} + \frac{y + 4}{4} = 5 - \frac{y - 2}{4}$

∆DEF and ∆LMN are congruent in the correspondence EDF↔LMN. Write the pairs of congruent sides and congruent angles in the correspondence.

Important Questions on Miscellaneous Exercise 2

Learn and Prepare for any exam you want !

$∆ DEF$ and $∆ LMN$ are congruent in the correspondence $EDF \leftrightarrow LMN$ . Write the pairs of congruent sides and congruent angles in the correspondence.