6th Grade > Mathematics
PRACTICAL GEOMETRY MCQs
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Steps: 2 Marks
Construction: 2 Marks
i) Draw a line segment XY of length 8.4 cm.
ii) Draw a circle, while taking point X as centre and radius more than half of XY.
iii) With same radius and taking the centre as Y, again draw arcs to cut the circle at A and B. Join AB which intersects XY at M.
iv) Taking X and Y as centres. Draw two circles more than half of XM.
v) With same radius and taking M as the centre, draw arcs to intersect these circles at P, Q, R and S.
vi) Join PQ and RS. These are intersecting XY at T and U.
vii) Now XT = TM = MU = UY. These are 4 equal parts of XY.
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Each step: 1 Mark
Step 1: Draw a line of length 6 cm. Mark a point P on it.
Step 2: With P as the centre and a convenient radius, construct an arc intersecting the line l at two points A and B.
Step 3: With A and B as centres and a radius 3 cm, construct two arcs, which cut each other at Q.
Step 4: Join PQ. Then PQ is perpendicular to l
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Each step: 1 Mark
The steps given below should be followed to construct an angle and its bisector:
i) Draw a line l and mark a point 'O' on it.
ii) Mark a point A 132∘ to line l with the help of protractor. Join OA.
iii) Draw an arc of convenient radius, while taking point O as the centre. Let it intersect both rays of angle 132∘ at point A and B.
iv) Taking A and B as centres, draw arcs each of radius more than half of AB so that they intersect each other at C. Join OC.
OC is the required bisector of angle of 132∘
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Each step: 1 Mark
(i) Draw a line segment AB of length 6.8 cm.
(ii) Taking A as the centre, draw a circle by using a compass. The radius of the circle should be more than half of AB.
(iii) With the same radius as before, draw two arcs using B as the centre such that it cuts the previous circle at C and D.
(iv) Join CD. CD is the axis of symmetry.
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C
Two angles are called supplementary angles when they add up to 180∘.
Therefore, the supplementary angle of 45∘ is, 180∘−45∘=135∘
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C
Sometimes it is helpful to think of parallel lines as a set of railroad tracks. The two sides of the track are created for the wheels on each side of the train to travel along. Because the wheels of the train are always the same distance apart - they do not get closer as they run - the tracks have to be the same distance apart everywhere.
In reality, railroad tracks are almost parallel.
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A
Parallel lines are two lines that are always the same distance apart and never touch. In order for two lines to be parallel, they must be drawn in the same plane, a perfectly flat surface like a wall or sheet of paper, and they must always be at the same distance.
Draw a line AB. At A, draw an arc of length 3cm using compass such that it intersects AB at O. With the same spread of compass, put the compass pointer at O and make an arc that intersects the previous arc at P. With the same spread again, put the compass pointer at P and draw an arc that intersects the first arc at Q. Join A and Q. Using the protractor, measure ∠QAB. What is the measure of ∠QAB ?
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C
Tracing the line may not give accurate result. Similarly, measuring using a ruler may give wrong results depending upon the angle of viewing. Using a compass and a ruler would be the easiest and most accurate method to copy a given line segment PQ.
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B
There are no corners in a circular floor! The 2 set squares that you have are both right angled triangles. So, one of the angles is 90∘. When it is 12:15, the angle included between the hour hand and the minute hand is not 90∘, it is slightly lesser than that because the hour hand moves in clockwise direction too as the minute hand moves.