Introduction to Euclid's Geometry Test

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Introduction to Euclid's Geometry Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

There are two concentric circles. The radius of the outer circle is 12 cm. Which of the following measurements cannot be the radius of the inner circle?

A
13 cm

B
10 cm

C
11 cm

D
0.275 cm

Solution

As the radius of the outer circle (12 cm) is always greater than the inner circle, the inner concentric circle cannot have radius greater than 12 cm.
So, 13 cm cannot be the radius of the inner circle.
Question 2
1 / -0

Which of the following statements is true?

A
Two distinct intersecting lines cannot be parallel to the same line.

B
A plane has no dimensions.

C
The edges of a surface are planes.

D
The ends of a line have only one dimension.

Solution

i) Two distinct intersecting lines cannot be parallel to the same line. This is correct.

ii) A plane has no dimensions.
This is false as a plane has two dimensions.

iii) The edges of a surface are planes.
This is false as a plane is a flat, two-dimensional surface that extends infinitely.

iv) The ends of a line have only one dimension.
This is false as the ends of a line have no dimensions.
Question 3
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Which of the following statements is incorrect?

A
A line is a breadthless length.

B
The ends of a line segment are points.

C
The edges of a surface are points.

D
A point has no part.

Solution

All the statements are correct, except (3). The edges of a surface are lines.
Question 4
1 / -0

Determine whether the given statements are true (T) or false (F):

(i) The whole is always less than the part.
(ii) If x = y and if a = b, then x - a = y - b.
(iii) Two distinct intersecting lines can't be parallel to the same line.

A
(i) - F, (ii) - T, (iii) - F

B
(i) - F, (ii) - F, (iii) - T

C
(i) - F, (ii) - T, (iii) - T

D
(i) - F, (ii) - F, (iii) - F

Solution

(i) False
This statement is false and does not follow the Euclid's axiom that the whole is greater than the part
(ii) True
This statement is true and follows the Euclid's axiom: ''If equals are subtracted from equals, the remainders are equal.''
(iii) True
This statement is true and follows the Euclid's axiom: ''Two distinct intersecting lines cannot be parallel to the same line.''

Question 5

1 / -0

Match the following:

Column 1	Column 2
(i) It has no length.	(a) Straight line
(ii) It is a breadth less length.	(b) Surface
(iii) It has only length and breath.	(c) Line
(iv) It lies evenly with the points on itself.	(d) Point

(i) - (a); (ii) - (c); (iii) - (b); (iv) - (d)

(i) - (b); (ii) - (c); (iii) - (a); (iv) - (d)

(i) - (d); (ii) - (c); (iii) - (b); (iv) - (a)

(i) - (c); (ii) - (d); (iii) - (b); (iv) - (a)

Solution

According to definitions given by Euclid,
A point has no length.
A line is a breadth less length.
A surface has only length and breath.
Straight line is a line which lies evenly with the points on itself.

Question 6
1 / -0

Fill in the blanks:

(i) A P is that which has length and breadth only.

(ii) The edge of a surface is a Q .

(iii) A R is a surface which lies evenly with straight lines on itself.

(iv) Boundaries of a surface can be S or straight lines.

A
P - surface, Q - line, R - plane surface, S - planes

B
P - plane surface, Q - line, R - surface, S - surfaces

C
P - surface, Q - line, R - plane surface, S - curves

D
P - curve, Q - line, R - plane surface, S - curves

Solution

(i) A surface is that which has length and breadth only.
(ii) The edge of a surface is a line.
(iii) A plane surface is a surface which lies evenly with straight lines on itself.
(iv) Boundaries of a surface can be curves or straight lines.

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Re-Attempt Weekly Quiz Competition

Introduction to Euclid's Geometry Test - 5

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Introduction to Euclid's Geometry Test - 5

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Question 1

13 cm

10 cm

11 cm

0.275 cm

Solution

Question 2

Two distinct intersecting lines cannot be parallel to the same line.

A plane has no dimensions.

The edges of a surface are planes.

The ends of a line have only one dimension.

Solution

Question 3

A line is a breadthless length.

The ends of a line segment are points.

The edges of a surface are points.

A point has no part.

Solution

Question 4

(i) - F, (ii) - T, (iii) - F

(i) - F, (ii) - F, (iii) - T

(i) - F, (ii) - T, (iii) - T

(i) - F, (ii) - F, (iii) - F

Solution

Question 5

(i) - (a); (ii) - (c); (iii) - (b); (iv) - (d)

(i) - (b); (ii) - (c); (iii) - (a); (iv) - (d)

(i) - (d); (ii) - (c); (iii) - (b); (iv) - (a)

(i) - (c); (ii) - (d); (iii) - (b); (iv) - (a)

Solution

Question 6

P - surface, Q - line, R - plane surface, S - planes

P - plane surface, Q - line, R - surface, S - surfaces

P - surface, Q - line, R - plane surface, S - curves

P - curve, Q - line, R - plane surface, S - curves

Solution

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