6th Grade > Mathematics
UNDERSTANDING ELEMENTARY SHAPES MCQs
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Type of triangle: 1 Mark
Properties: 2 Marks
The sides of the triangle are given as 6m, 6m, 8m.
Now two sides of the triangle are equal 6m, 6m.
We know that if a triangle has two sides equal then the triangle is isosceles.
Hence, the given triangle is an isosceles triangle.
Also if two sides of a triangle are equal then their respective angles are also equal.
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Steps: 2 Marks
Answer: 1 Mark
Given that:
The wheel rotates 6 and a half times in one second.
We know that in one revolution there are 4 right angles.
∴ In 6 revolutions, the number of right angles = 6×4 = 24
∴ In half revolution, the number of right angles = 12×4 = 2
The total number of right angles = 24 + 2 = 26.
The wheel went through 26 right angles.
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Each Option: 1 Mark
Given that:
Line l is perpendicular to line m.
a) We can clearly see from the above diagram that CE = 5-3 = 2 units
Also, EG = 7-5 = 2 units
∴ CE = EG = 2 units
b)As we have seen above CE = EG
So, E is the mid-point of line CG.
∴ Line PE bisects CG.
c) We can see from the above figure that
BE = 5-2 = 5 units
HE = 8-5 = 3 units
∴ E is the mid-point of the line BH.
Also given that line m is perpendicular to the line l.
∴ PE is the perpendicular bisector of the line segment BH.
Also, we have seen above that PE is also the perpendicular bisector of line segment CG.
∴ The required line segments are BH and CG.
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Steps: 3 Marks
Quadrilateral's name: 1 Mark
Given that:
A man runs in a particular path, in such a way that it is a quadrilateral.
Also, the opposite sides are equal and opposite angles are equal.
Also, the opposite sides are parallel.
So the given quadrilateral can either be a rectangle, parallelogram, or a square.
But the adjacent sides are not equal.
Therefore it will either be a parallelogram or a rectangle.
If all the angles of the quadrilateral are 90∘, then the quadrilateral is a rectangle, otherwise, it is a parallelogram.
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Each blank: 1 Mark
∠AOD = 40+20+30 = 90∘ = A right angle
∠COA = 20+30 = 50∘ = An acute angle
∠AOE = 40+40+20+30 = 130∘ = An obtuse angle
∠EOC = 40+40 = 80∘ = An acute angle
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Matching: 1 Mark
a. Perpendicular bisector divides the line segment into two equal parts making a right angle. So, figure (ii) shows the perpendicular bisector.
b. In figure (ii) and (iii), the line segments are divided into two equal parts. So, they show bisectors.
c. In figure (iii), the line segment is divided into two equal parts only. So, it shows the only bisector.
d. In figure (i), the line segment is intersected at 90∘. So, it shows only a perpendicular.
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Each option: 1 Mark
Steps: 1 Mark
A vertex is a point where two edges meet.
An edge is a line segment where two faces meet.
A closed plane formed by line segments is called the face.
a)As we can clearly see in the above figure the various vertices are A, B, C, D, E, F.
b) The various edges are AB, AC, AE, BC, BD, CF, DE, DF.
c) The various faces are DEF, ACFE, BDFC, BAED, BAC.