Introduction to Euclid's Geometry Test

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Introduction to Euclid's Geometry Test - 1

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Question 1
1 / -0

Which of the following statements is true?

A
A point has two dimensions.

B
A line has no dimensions.

C
A surface has one dimension.

D
A point has no dimensions.

Solution

A point has no dimensions.
Question 2
1 / -0

If a line AB coincides with another line PQ, which of the following relationships is true?

A
AB < PQ

B
AB > PQ

C
AB = PQ

D
Either (1) or (3)

Solution

Coinciding lines overlap each other and two lines can be overlapped if their lengths are equal.
OR
By Euclid's axiom, things that coincide with one another are equal to one another.
Question 3
1 / -0

A solid has ________.

A
a definite shape and volume

B
only shape

C
no shape

D
no dimensions

Solution

A solid has a definite shape and volume.
Question 4
1 / -0

If a = b and c = d, which of the following relationships is true?

A
a – c = b + d

B
a – c = b – d

C
a + c = b – d

D
c – a = d + b

Solution

If a = b and c = d, then a – c = b – d [By Euclid's axiom, if equals are subtracted from equals, the remainders are equal.]
Question 5
1 / -0

Which of the following statements is true?

A
A circle can be drawn only with a specific value of radius.

B
A circle can be drawn with any centre and any radius.

C
A circle cannot be drawn with very large value of radius.

D
A circle can be drawn with a specific centre only.

Solution

By Euclid's postulate 3, a circle can be drawn with any centre and any radius.
Question 6
1 / -0

A plane has ________.

A
two dimensions

B
three dimensions

C
one dimension

D
no dimensions

Solution

A plane has two dimensions, i.e. length and breadth.
Question 7
1 / -0

If a = m and b = n, then which of the following relationships is true?

A
a + m = b + n

B
a + b = m – n

C
a + b = m + n

D
a – b = m + n

Solution

If a = m and b = n
⇒ a + b = m + n [If equals are added to equals, then wholes are equal.]

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Introduction to Euclid's Geometry Test - 1

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Introduction to Euclid's Geometry Test - 1

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Question 1

A point has two dimensions.

A line has no dimensions.

A surface has one dimension.

A point has no dimensions.

Solution

Question 2

AB < PQ

AB > PQ

AB = PQ

Either (1) or (3)

Solution

Question 3

a definite shape and volume

only shape

no shape

no dimensions

Solution

Question 4

a – c = b + d

a – c = b – d

a + c = b – d

c – a = d + b

Solution

Question 5

A circle can be drawn only with a specific value of radius.

A circle can be drawn with any centre and any radius.

A circle cannot be drawn with very large value of radius.

A circle can be drawn with a specific centre only.

Solution

Question 6

two dimensions

three dimensions

one dimension

no dimensions

Solution

Question 7

a + m = b + n

a + b = m – n

a + b = m + n

a – b = m + n

Solution

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