Practical Geometry Test

Result

Practical Geometry Test - 5

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Construct quadrilateral DEAR from given information-
$$DE=4\ cm$$, $$EA=5\ cm$$, $$AR=4.5\ cm$$, $$\angle E={ 60 }^{ 0 }$$, $$\angle A={ 90 }^{ 0 }$$
Given below are the steps to construct quadrilateral DEAR. Arrange them in proper order-
1) Point D is at distance of 4 cm from point E. Taking E as centre and radius as 4 cm, draw an arc which will cut previously drawn line at point D
2) Draw segment EA of length 5 cm as base of quadrilateral. Taking E as centre, draw a line at an angle of $${ 60 }^{ 0 }$$
3) Connect points D and R to complete quadrilateral DEAR1-4-2-3
4) Taking A as center, draw a line at an angle of $${ 90 }^{ 0 }$$. Point R is 4.5 cm away from point A. Taking point A as centre and radius as 4.5 cm, draw an arc which will cut previously drawn line at point R

A
1-4-2-3

B
3-4-2-1

C
2-1-4-3

D
4-1-2-3

Solution
Question 2
1 / -0

Construct a quadrilateral GOLD from following data-
$$OL=7.5\ cm$$, $$GL=6\ cm$$, $$GD=6\ cm$$, $$LD=5\ cm$$, $$OD=10\ cm$$.
Given below are the steps to construct quadrilateral GOLD. Arrange them in correct order-
1) Construct $$\triangle OLD$$ from SSS condition from rough figure.
2) Point G is 6 cm away from point L. Taking point L as centre and radius as 6 cm, draw first arc.
3) Point G is 6 cm away from point D. Taking point D as centre and radius as 6 cm, draw second arc.
4) Point of intersection of both the arcs is point G. Mark point G and complete quadrilateral GOLD

A
2-1-4-3

B
3-1-2-4

C
1-2-3-4

D
4-2-1-3

Solution
Question 3
1 / -0

Construct quadrilateral ABCD, where $$AB=4\ cm$$, $$BC=5\ cm$$, $$CD=6.5\ cm$$, $$\angle B={ 105 }^{ 0 }$$, $$\angle C={ 80 }^{ 0 }$$
Given are the steps to construct quadrilateral ABCD. Arrange them in correct order-
1) Connect points A and D to complete the quadrilateral ABCD
2) Taking C as centre of angle, draw an angle of $${ 80 }^{ 0 }$$. Point D is 6.5 cm away from point C. Taking C as centre and radius as 6.5 cm, draw an arc which will cut previously drawn line at point D.
3) Point A is 4 cm away from point B. Taking B as centre and radius as 4 cm, draw an arc which will cut previously drawn line at point A.
4) Draw segment BC of length 5 cm as base of quadrilateral. Taking point B as centre of angle, draw an angle of $${ 105 }^{ 0 }$$

A
4-3-2-1

B
1-2-3-4

C
2-1-4-3

D
3-4-1-2

Solution
Question 4
1 / -0

Draw rectangle ABCD by using given information-
$$AB=7\ cm$$, $$BC=5\ cm$$
Given below are the steps to construct rectangle ABCD. Arrange them in proper order-
1) Draw segment AB of length 7 cm as base of rectangle
2) Taking point A as centre, draw a line at angle of $${ 90 }^{ 0 }$$. Taking point C as centre, draw a line at angle of $${ 90 }^{ 0 }$$.
3) Taking point B as centre, draw a line at an angle of $${ 90 }^{ 0 }$$. Point C is 5 cm away from point B. Taking B as centre and 5 cm as radius, draw an arc which will cut previously drawn arc at point C
4) Point of intersection of two lines will be last point D.

A
4-1-2-3

B
1-3-4-2

C
3-1-2-4

D
1-3-2-4

Solution
Question 5
1 / -0

Construct a quadrilateral LIFT from following data-
$$LI=4\ cm$$, $$IF=3\ cm$$, $$TL=2.5\ cm$$, $$LF=4.5\ cm$$, $$IT=4\ cm$$.
Given below are the steps to construct quadrilateral LIFT. Arrange them in correct order-
1) Point of intersection of both the arcs is point T. Mark point T and complete quadrilateral LIFT
2) Point T is 2.5 cm away from point L. Taking L as centre and 2.5 cm as radius, draw another arc
3) Point T is 4 cm away from point I. Taking I as centre and 4 cm as radius, draw first arc
4) Construct triangle ILF by using SSS condition.

A
1-2-3-4

B
4-3-2-1

C
3-1-2-4

D
None of the above

Solution
Question 6
1 / -0

Construct a quadrilateral MORE from the given data-
$$MO=6\ cm$$, $$OR=4.5\ cm$$, $$\angle M={ 60 }^{ 0 }$$, $$\angle O={ 105 }^{ 0 }$$, $$\angle R={ 105 }^{ 0 }$$
Given below are the steps to construct quadrilateral MORE. Arrange them in proper order-
1) Taking R as origin for angle, draw an obtuse angle of $$105^{ 0 }$$ and by taking M as origin for angle, draw an acute angle of $$60^{ 0 }$$. Point of intersection of these two lines will be point E. Mark point E and complete quadrilateral MORE
2) Draw segment MO of length 6 cm as base of quadrilateral.
3) Taking O as centre for angle, draw obtuse angle of $$105^{ 0 }$$
4) Point R is 4.5 cm away from point O. Taking O as centre and 4.5 cm as radius, draw an arc which cuts previously drawn line at point R

A
3-1-2-4

B
2-3-4-1

C
4-3-2-1

D
1-2-3-4

Solution
Question 7
1 / -0

Draw rectangle OKAY by using given information-
$$OK=7\ cm$$, $$KA=5\ cm$$
Given below are the steps to construct rectangle OKAY. Arrange them in proper order-
1) Draw segment OK of length 7 cm as base of rectangle
2) Taking point O as centre, draw a line at angle of $${ 90 }^{ 0 }$$. Taking point A as centre, draw a line at angle of $${ 90 }^{ 0 }$$.
3) Taking point K as centre, draw a line at an angle of $${ 90 }^{ 0 }$$. Point A is 5 cm away from point K. Taking K as centre and 5 cm as radius, draw an arc which will cut previously drawn arc at point A
4) Point of intersection of two lines will be last point Y.

A
1-2-3-4

B
1-3-2-4

C
4-2-3-1

D
3-1-2-4

Solution

The following is the correct order of the steps to construct rectangle OKAY:

$$1.$$ Draw segment OK of length 7 cm as base of rectangle
$$2.$$ Taking point K as centre, draw a line at an angle of 90$$^0$$.
Point A is 5 cm away from point K. Taking K as centre and 5 cm as radius, draw an arc which will cut previously drawn
arc at point A
$$3.$$ Taking point O as centre, draw a line at angle of 90$$^0$$. Taking point A as centre, draw a line at angle of 90$$^0$$.
$$4.$$ Point of intersection of two lines will be last point Y.

Hence the correct order of construction as per the information given in the question is $$1-3-2-4$$ $$\Rightarrow$$Option $$B$$
Question 8
1 / -0

Construct quadrilateral TRUE from given information-
$$TR=3.5\ cm$$, $$RU=3\ cm$$, $$UE=4\ cm$$, $$\angle R={ 75 }^{ 0 }$$, $$\angle U={ 120 }^{ 0 }$$
Given below are the steps to construct quadrilateral DEAR. Arrange them in proper order-
1) Point T is 3.5 cm away from point R. Taking R as centre and radius as 3.5 cm, draw an arc which will cut previously drawn line at point T
2) Connect points T and E to complete quadrilateral TRUE
3) Draw segment RU of length 3 cm as base of quadrilateral. Taking R as centre, draw a line at an angle of $${ 75 }^{ 0 }$$.
4) Taking U as centre, draw a line at an angle of $${ 120 }^{ 0 }$$. Point E is 2.5 cm away from point U. Taking U as centre and radius as 2.5 cm, draw an arc which will cut previously drawn line at point E

A
3-1-4-2

B
1-4-3-2

C
2-4-3-1

D
4-1-2-3

Solution
Question 9
1 / -0

Construct a rhombus READ from following dimensions-
$$RA=5\ cm$$ and $$ED=6\ cm$$
Following are the steps given to construct rhombus READ. Arrange them in proper order-
1) Join points R, E, A and D to complete rhombus READ
2) Draw perpendicular bisector of segment RA which will intersect segment RA at point O.
3) Draw segment RA of length 5 cm as base of rhombus.
4) Taking O as centre and radius of $$\frac { 6 }{ 2 } =3\ cm$$, draw arcs on both sides of segment RA to intersect perpendicular bisector in E and D respectively.

A
3-2-4-1

B
3-1-2-4

C
4-2-1-3

D
1-3-2-4
Question 10
1 / -0

Draw rectangle WXYZ by using given information-
$$PQ=5.6\ cm$$, $$QR=4\ cm$$
Given below are the steps to construct rectangle ABCD. Arrange them in proper order-
1) Draw segment WX of length $$5.6\ cm$$ as base of rectangle
2) Taking point X as centre, draw a line at an angle of $${ 90 }^{ 0 }$$. Point Y is $$4\ cm$$ away from point X. Taking X as centre and $$4\ cm$$ as radius, draw an arc which will cut previously drawn arc at point Y.
3) Taking point W as centre, draw a line at angle of $${ 90 }^{ 0 }$$. Taking point Y as centre, draw a line at angle of $${ 90 }^{ 0 }$$.
4) Point of intersection of two lines will be last point Z.

A
1-2-3-4

B
4-3-2-1

C
3-1-2-4

D
2-4-3-1

Solution