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6th Grade > Mathematics

UNDERSTANDING ELEMENTARY SHAPES MCQs

Total Questions : 97 | Page 10 of 10 pages
Question 91.


Given that the lengths of the sides of a triangle are 6m, 6m, 8m. What is the type of triangle? What are the various properties of such triangles? [3 MARKS]


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Answer: Option A. ->
:

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.


Question 92.


In a moving car, there are 6 and a half rotations of a wheel per second. How many right angles did the wheel rotate through in one second? [3 MARKS]


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Answer: Option A. ->
:

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. 


In A Moving Car, There Are 6 And A Half Rotations Of A Wheel...


Question 93.


The line l is perpendicular to line m.


The Line L Is Perpendicular To Line M.a) Is CE= EG?b) Does P...
a) Is CE= EG?
b) Does PE bisect CG?
c) Identify any two line segments for which PE is the perpendicular bisector.
[3 MARKS]


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Answer: Option A. ->
:

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.


Question 94.


A man runs in a particular path in such a way that it is a quadrilateral. The opposite sides and opposite angles of the path are equal. Also, the opposite sides are parallel. Given that the adjacent sides are not equal, what is the quadrilateral called? [4 MARKS]


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Answer: Option A. ->
:

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.


Question 95.


In the given fig.,
In The Given Fig.,∠AOD Is A/an _____angle.∠COA Is A/an _...
AOD is a/an _____angle.
COA is a/an _____angle.
AOE ia a/an _____angle.
EOC ia a/an _____angle.
[4 MARKS]


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Answer: Option A. ->
:
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
Question 96.


Match the geometric shapes written below to its corresponding diagram.
a. perpendicular bisector
b. bisector
c. only bisector
d. only perpendicular
Match the geometric Shapes Written Below To Its Correspond...
[4 MARKS]


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Answer: Option A. ->
:
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.
Question 97.


Write the name of  the:
a. vertices
b. edges and
c. faces of the prism shown in the figure.
Write The Name Of  the:a. Verticesb. Edges Andc. Faces Of T...
[4 MARKS]


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Answer: Option A. ->
:
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.

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