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Worksheets

Practical Geometry

Total questions: 20

Worksheet time: 11mins

Name
Class
Date
1.

If a transversal is perpendicular to a pair of lines then the lines are parallel.

a)

True

b)

False

2.

Which all are Polygon(s)

a)

Star Shape

b)

Circle

c)

Triangle

d)

Prism

3.

By Which of the following Parallel lines can be constructed

a)

Protractor

b)

Ruler

c)

Ruler and Compass

d)

Compass

4.

Identify the criterion of construction of the equilateral triangle LMN given LM = 6 cm.

a)

S.A.S. criterion

b)

R.H.S. criterion

c)

A.S.A. criterion

d)

S.S.S. criterion

5.

The idea of equal alternate angles is used to construct which of the following?

a)

A line parallel to a given line

b)

A triangle

c)

A square

d)

Two triangles

6.

Which angle cannot be constructed with a compass and ruler?

a)

2 x (3 x 5)

b)

(3 x 40) / 2

c)

2 x (5 x 5)

d)

720 x 1/2

7.

Δ PQR is such that ∠P = ∠Q = ∠R = 60° which of the following is true?

a)

Δ PQR is equilateral.

b)

Δ PQR is acute angled

c)

Both

d)

None

8.

When constructing a right-angled triangle, we must know the

a)

length of any two sides

b)

only hypotenuse

c)

the measure of one obtuse angle and one acute angle

d)

the measure of two acute angles.

9.

What is the next step in the construction of a line parallel to line g?

a)

Draw a line from point P that intersects line g

b)

With compass at point A, draw an arc that intersects both sides of the angle

c)

Set the compass radius to the length of BC and draw a small arc from point D that intersects the arc drawn

d)

Draw a line that connects point P to the intersection of the two arcs

10.

What is the largest angle in triangle TUV?

a)

angle T

b)

angle U

c)

angle V

11.

Given the information regarding ΔABC and ΔDEF, which statement is true?
∠A ≅ ∠D
 ∠B ≅ ∠E 
  BCEF\overline{BC}\cong\overline{EF}  

a)

The given information matches the SAS criterion; the triangles are congruent.

b)

The given information matches the ASA criterion; the triangles are congruent.

c)

The given information matches the AAS criterion; the triangles are congruent.

d)

It cannot be shown that the triangles are necessarily congruent.

12.

A triangle can be constructed with sides 7.7cm,6.8 cm and 12 cm using -------------------- criterion.

(a)  

13.

Which of the following is a right angled triangle?

a)

triangle PQR with PQ=4cm, QR=4cm, PR=4cm

b)

triangle LMN with LM=8cm, MN=6cm, LN=10cm

c)

triangle EFG with EF=2cm, FG=3cm, EG=13cm

14.

Which of the following is not a criterion for the construction of a triangle?

a)

SAS

b)

ASA

c)

AAA

d)

SSS

15.

 ΔPQR \Delta PQR\  can be constructed with PQ=7cm,  P=50° and Q=40°\angle P=50\degree\ and\ \angle Q=40\degree  using ASA criterion.

a)

TRUE

b)

FAlse

16.

A triangle with sides 5cm, 5cm and 11cm is possible to construct by using SSS criterion.

a)

True

b)

False

17.
a)

A

b)

B

c)

C

d)

D

18.

What is this?

a)

ruler

b)

compass

c)

protractor

d)

straightedge

19.

In right angled triangle the longest side is

a)

Base

b)

Perpendicular

c)

Hypotenuse

d)

None of these

20.

On extending two parallel lines the distance between them will....

a)

Increase

b)

Decrease

c)

Remain Same

d)

Increase and decrease