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Worksheets

LInear Eqn, Constructions

Total questions: 26

Worksheet time: 25mins

Name
Class
Date
1.

What is the area of a rectangle if the perimeter is 160 cm and l:b =9:7

a)

1465 sqcm

b)

15525 sqcm

c)

1575 sqcm

d)

1615 sqcm

2.

The difference between two whole numbers is 66.The ratio of two numbers is 2:5.What is the sum of two numbers?

a)

154

b)

144

c)

164

d)

146

3.

Solve (x-5)/2 -1/2=(x-3)/5

a)

x=-4

b)

x=4

c)

x=8

d)

x=6

4.

Two-third of a number is 20 less than the original number.Find the original number?

a)

100

b)

80

c)

75

d)

60

5.
a)
7⁄4
b)
½
c)
2
d)
¾
6.
If 2x + 4 = x - 5, then x = ______
a)
9
b)
-9
c)
1
d)
-1
7.
Which of the following is not a linear equation?
a)
3x - 1 = -2x
b)
xy - 3 = x
c)
(x-5)⁄7 = (x-2)⁄3
d)
x + 2y = 10
8.
If 7x + 3 = 24, what is the value of 5 - 4x ?
a)
-23
b)
-7
c)
1
d)
17
9.

Solve 2y-5=-3y+15

a)

y=5

b)

y=4

c)

y=-5

d)

y=-4

10.

solve: 14x = 40 + 9x

a)

4

b)

8

c)

35

d)

45

11.

The breadth of a rectangular garden is 2/3 rd

of its length. If its perimeter is 40 m, find its dimensions.

a)

length=12 , breadth =9

b)

length=12 , breadth =8

c)

length=10 , breadth =8

d)

length=9 , breadth =8

12.

A is twice old as B. Five years ago A was 3 times as old as B. Find their present ages.

a)

10,20

b)

11,22

c)

12,24

d)

9,18

13.

Three consecutive integers add up to 57. What are these integers?

a)

20,21,22

b)

19,20,21

c)

18,19,20

d)

17,18,19

14.
Name the construction.
a)
Corresponding angles
b)
Parallel line to a point not on the line
c)
Perpendicular line to a point not on the line
d)
Angle bisector
15.
In the image, line RS is _______ to line JQ.
a)
parallel
b)
congruent
c)
similar
d)
perpendicular
16.
AB = 8   BC = 10  AC = ?
a)
18
b)
19
c)
17
d)
20
17.

The perpendicular line segment from a vertex of a triangle to its opposite side is called an ____ of the triangle.

a)

altitude

b)

median

c)

base

18.

The difference between the lengths of any two sides is ____ than the length of the third side.

a)

greater than

b)

less than

c)

altitude

19.

Which of the following is NOT a congruency criteria for triangles ?

a)

SSS

b)

AAA

c)

AAS

d)

ASA

e)

SAS

20.

∆ABC ≅ ∆XYZ. By which critieria?

a)

SAS

b)

ASA

c)

SSS

d)

SSA

21.

∆PRT ≅ ∆ZPQ. Then side PT will be equal to?

a)

ZQ

b)

QZ

c)

ZP

d)

PQ

22.

Two angles and included side of one triangle are equal to corresponding angles and included side of another triangle, and then the triangles are congruent by ———-criteria.

a)

A. ASA Criteria

b)

B. SAS Criteria

c)

C. SSS Criteria

23.

The three sides of one triangle are equal to the three corresponding sides of another triangle then the triangle is congruent by ———- criteria.

a)

A. SSS Criteria

b)

B. SAS criteria

c)

C. RHS Criteria

24.

∆ABC and ∆RQP are congruent with the same correspondence. Write the parts of ∆ ABC that corresponds to RP.

a)

AB

b)

BC

c)

AC

d)

None of these

25.

What is the side included between the angles M and N of ∆MNP?

a)

MN

b)

NP

c)

MP

d)

None of these

26.

Which angle is included between the sides QR and PR of ∆PQR?

a)

Angle R

b)

Angle P

c)

Angle Q

d)

None of these