Chapter 7 - Introduction to Geometry

8/12/2019 Chapter 7 - Introduction to Geometry

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7 Introduction to Geometry


Level 1 Questions

(P01C07L03Q045)

In the figure,

(a) rewrite the nme! of the mr"ed ng#e!,

(b) nme ## the #ine !egment!$

%o#ution

(a) a & PSQor QSP

b& RQSor SQR

(b) PS, SR,RQnd QS

(P01C07L03Q04')

rite down the tye! of the mr"ed ng#e! in the figure$

%o#ution

ai! n cute ng#e$

bi! right ng#e$

ci! n o*tu!e ng#e$

di! ref#e+ ng#e$

1


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Que!tion n" -dte 1.

(P01C07L03Q047)

/+re!! the fo##owing ng#e! in !econd!$

(a)0$05

(b) 0$004

%o#ution

(a)0

05$003'005$0

=

=

(b)4$14

004$003'0004$0

=

=

(P01C07L03Q042)

/+re!!'

5of !tright ng#e in degree!$

%o#ution

=

=

150

'

5120ng#e!trightof

'

5

(P01C07L03Q04)

In the figure, c#!!ify ABC, PQRnd XYZccording to

(a) the !ie! of their ng#e!,

(b) the #ength! of their !ide!$

%o#ution

(a) ABCi! rightng#ed tring#e$

PQRi! n o*tu!eng#ed tring#e$

XYZi! n cuteng#ed tring#e$

(b) ABCi! !c#ene tring#e$


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PQRi! n i!o!ce#e! tring#e$

XYZi! n eui#ter# tring#e$

(P01C07L03Q050)

In XYZ, findp$

%o#ution

X6 Y6 Z & 120

p6 '6 31 & 120

p & 120'31

& 27

(P01C07L03Q051)

In the figure,POQi! !tright #ine$ ind POR$

%o#ution

POR6 QOR & 120

POR6 5 & 120

POR & 1205

&12

(P01C07L03Q05)

In the figure,ABCDi! rectng#e$ 8r" ## r##e# #ine! nd erendicu#r #ine! with !uit*#e

!ym*o#!$

%o#ution

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Que!tion n" -dte 1.

4


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(P01C07L03Q053)

-!ing ru#er nd rotrctor, con!truct the *o9e tring#e$

%o#ution

(P01C07L03Q054)

-!ing ru#er nd ir of com!!e!, con!truct the *o9e tring#e$

%o#ution

5


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Que!tion n" -dte 1.

(P01C07L03Q055)

rite down the num*er of 9ertice!, edge! nd fce! for the fo##owing o#yhedr$

(a)

(b)

%o#ution

(a) :um*er of 9ertice! &'

:um*er of edge! &10

:um*er of fce! &'

(b) :um*er of 9ertice! &2

:um*er of edge! &1

:um*er of fce! &'

(P01C07L03Q05');rw the cro!!!ection o*tined when the fo##owing !o#id! re cut t the dotted #ine! #ong the

gi9en #ne!$

(a)

(b)

%o#ution

'


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(a)

(b)

(P01C07L03Q057)

;rw the uniform cro!!!ection! of the fo##owing figure!$

(a)

(b)

%o#ution

(a)

(b)

(P01C07L03Q052)

;rw the ; rere!enttion of the fo##owing figure on n i!ometric grid er$

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Que!tion n" -dte 1.

%o#ution

(P01C07L03Q05)

;rw the ; rere!enttion of the fo##owing figure on n o*#iue grid er$

%o#ution

2


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10/25

Que!tion n" -dte 1.

Level 2 Questions

(P01C07L04Q0')

(a)/+re!! 0201 in degree!$

(b) /+re!! 03 in !econd!$

%o#ution

(a) 5$5'0'0

1200=

= 5$50201

(b)

015

0301

030'03

=

+=

+=

000

1500'015

=

=

00003 =

(P01C07L04Q07)

ithout u!ing rotrctor, find the mr"ed ng#e in ech of the fo##owing c#oc"! nd e+re!! your

n!wer! in minute!$

(a)

(b)

%o#ution

(a)


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(b)


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Que!tion n" -dte 1.

(P01C07L04Q030)

(a) -!ing ru#er nd ir of com!!e!, con!truct circ#e with rdiu! 1$5 cm$

(b) ?ence, u!ing ru#er nd ir of com!!e!, con!truct n eui#ter# tring#ePQRwith !ide

3 cm on the figure o*tined in ()$

%o#ution

(a)

(b)

(P01C07L04Q031)

In ABD, findxndy$

%o#ution

In ABD,

=

=+

=+++

=+++

=++

'5

120115

120303550

120)30(3550

120

x

x

x

x

BADADBABD

In ABC,

=

=+

=++

=++

=++

'5

120115

120'550

12050

120

y

y

y

xy

BACACBABC

(P01C07L04Q03)

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In the figure, PQSndPRTre rightng#ed tring#e!$ ind and b$

%o#ution

In PQS,

=

=+

=++

=++

'0

12010

120030

120

PQS

PQS

PQS

QPSPSQPQS

In PQR,

=

=+

=++

=++

20

120100

12040'0

120

a

a

a

QPRPRQPQR

=

=

=

50

400

QPRQPSRPS

In PRT,

=

=+

=++

=++

40

120140

120500

120

b

b

b

RPTPRTPTR

(P01C07L04Q033)

;rw the ; rere!enttion of the fo##owing figure on n i!ometric grid er$

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Level 2+ Questions

(P01C07L05Q005)

In the figure,PVS, UVRnd QRSTre !tright #ine!$ind a, bnd c$

%o#ution

In RTU,

=

=+

=++

=++

45

120135

120450

120

a

a

a

TURRTUURT

In RSV,

=

=+

=++

=++

=++

'0

12010

120754512075

120

b

b

bba

SVRRSVVRS

In PQS,

=

=+

=++

=++

=++

'0

12010

120'0'0

120'0

120

c

c

c

bc

SPQQSPPQS

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Que!tion n" -dte 1.

(P01C07L05Q00')

(a)


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Multiple Choice Questions

(P01C07L0'Q0)

hich of the fo##owing ng#e! i! n o*tu!e ng#e@

!

"!

C!

#!

%o#ution

.

.n o*tu!e ng#e i! n ng#e *etween 0nd 120$

(P01C07L0'Q03)

hich of the fo##owing ng#e! i! ref#e+ ng#e@

! 0A

"! 150A

C! 120A

#! 10A

%o#ution

;

. ref#e+ ng#e i! n ng#e *etween 120nd 3'0$

(P01C07L0'Q04)

/+re!! onefifth of right ng#e in minute!$

! 03' "! 0102

C! 01'

#! 043

%o#ution

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Que!tion n" -dte 1.

0102

120'

125

10

=

=

=

(P01C07L0'Q05)rom =30 $m$ to =30 $m$, wht ng#e h! the hourhnd of c#oc" turned@

! 120A

"! 10A

C! 40A

#! 70A

%o#ution


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! 15, 20, 5

"! 0, 5', 104

C! 30, 55, 25

#!30, 70, 100

%o#ution


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Que!tion n" -dte 1.

(P01C07L0'Q0)

In the figure,BCDi! !tright #ine$ ind a$

! 32

"! 4

C! 42

#! 5

%o#ution

;

%inceBCDi! !tright ng#e, =+ 12014ACB $

?ence, = 32ACB $

In ABC,

=

=+

=++

=++

5

12012

120320

120

a

a

a

ACBABCa

(P01C07L0'Q030)

hich of the fo##owing !ttement! i!re correct@

I$


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%o#ution

;

or I,

.n cute ng#e mu!t *e #e!! thn 0$


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Que!tion n" -dte 1.

%o#ution

.

or I,

. entgon cn h9e ref#e+ ng#e$ %o, it cn *e conc9e$

%o, I i! correct$

or II,

. con9e+conc9e entgon h! fi9e digon#! (!hown ! dotted #ine! in the figure)$

%o, II i! correct$

or III,

. entgon cn h9e two o*tu!e ng#e! on#y$ or e+m#e, the interior ng#e! of the fo##owing

entgon re 0, 0, 0, 135nd 135$

%o, III i! incorrect$

(P01C07L0'Q033)


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%o#ution

or I,

%inceBCi! dimeter nd OAi! rdiu!,BC& OA$

or II,

%ince OAnd OCre two rdii of the circ#e, OA& OC$


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Que!tion n" -dte 1.

(P01C07L0'Q035)

hich of the fo##owing i! the cro!!!ection o*tined when the *o9e figure i! cut t the dotted #ine

#ong the gi9en #ne@

!

"!

C!

#!

%o#ution

;

4


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(P01C07L0'Q03')

Chapter 7 - Introduction to Geometry

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