What is the difference between a theorem and an axiom?

Define the following terms :

(i) Line segment

(ii) Ray

(iii) Parallel Lines

(iv) Half-Line

(v) Collinear points

(vi) Plane

In the adjoining figure, name :

(i) Six Points

(ii) Five Line Segments

(iii) Four rays

(iv) Four lines

(v) Four collinear points

In the adjoining figure, name :

(i) Two pairs of intersecting lines and their corresponding points of Intersection

(ii) Three concurrent lines and their points of intersection

(iii) Three rays

(iv) Two line segments

(v) Intersecting lines

(vi) Concurrent lines

(i) How many lines can be drawn to pass through a given points?

(ii) How many lines can be drawn to pass through two given points?

(iii) In how many points can the two lines at the most intersect?

(iv) If A, B,C are three collinear points , name all the line segments determined by them.

Which of the following statements are true?

(i) A line segment has no definite length.

(ii) A ray has no end point.

(iii) A line has a definite length.

(iv) A line is the same as line .

(v) A ray is the same as ray .

(vi) Two distinct points always determine a unique line.

(vii) Three lines are concurrent if they have a common point.

(viii) Two distinct lines cannot be both parallel to the same line.

(ix) Two intersecting lines cannot be both parallel to the same line.

(x) Open half-line OA is the same thing as ray

(xi) Two lines may intersect in two points.

(xii) Two lines I and m are parallel only when they have no point in common.

In ancient India, the shapes of altars used for household rituals were

The number of interwoven isosceles triangles in Sriyantra is

Thales belongs to the country

Euclid belongs to the country

Pythagoras was a student of

In Indus Valley Civilization (about 300 BC) the bricks used for construction work were having dimensions in the ratio

Which of the following needs a proof?

Axioms are assumed

‘Lines are parallel if they do not intersect’ is stated in the form of

Euclid stated that ‘all right angles are equal to each other’, in the form of

Greeks emphasized on

A solid has

A surface has

A point has

Boundaries of solids are

Boundaries of surfaces are

The side faces of a pyramid are

The base of a pyramid is

The number of planes passing through three non-collinear points is

Euclid divided his book ‘Elements’ into how many chapters?

Which of the following is a true statement?

Which of the following is a true statement?

Which of the following is a false statement?

A point C is called the midpoint of a line segment AB, if

A point C is said to lie between the points A and B if

The question consists of two statements, namely, Assertion (A) and Reason (R), Please select the correct answer.

The question consists of two statements, namely, Assertion (A) and Reason (R), Please select the correct answer.

The question consists of two statements, namely, Assertion (A) and Reason (R), Please select the correct answer.

The question consists of two statements, namely, Assertion (A) and Reason (R), Please select the correct answer.

The question consists of two statements, namely, Assertion (A) and Reason (R), Please select the correct answer.

Match the following columns:

The correct answer is:

(a)-………, (b)-……., (c)-…….., (d)………

Fill in the blanks (2 marks)

(A) Concurrent lines………through a given point.

(B) Two distinct………in a plane cannot have more than one point in common.

(C) Two distinct points in a plane determine a………line.

(D) A line segment has…….end points.

A point C lies between two points A and B such that AC=CB. Prove that AC=AB.

Prove that every line segment has a unique mid-point.

In the given figure, AC=BD.

Prove that AB=CD.

L, M, N are three lines in the same plane such that L intersects M and M‖N. Show that L intersects N also.

Find the measure of an angle which is 20° more than its complement.

Find the measure of an angle which is 20° less than its supplement.

Find the measure of an angle, if five times its complement is 12° less than twice its supplement.

Which of the following needs a proof?

Number of planes passing through three non-collinear points is

How many lines can be drawn to pass through

(A) a given point (B) two given points?

A, B and C are three collinear points. How many line segments can be determined by them? Name these line segments.

In the given figure, it is given that AC=BD,

Prove that AB=CD.

Show that every line segment has one and only one middle point.

Define the following terms:

(A) Parallel lines (B) Intersecting lines

(C) Concurrent lines

If L, M and N are three straight lines such that L || M and L || N, then prove that M|| N.

Which of the following is a statement or which of the following statement is true?

Which is true?

Which is false?

From the given figure, name the following:

(A) Three lines

(B) One rectilinear figure

(C) Four concurrent points

A point C is the

I. AC=CB.

II. C is the interior point of AB.

III. AC=CB and C is the interior point of AB.

The given statement is true only when

(A) I holds (B) II holds

(C) III holds (D) none holds

NOTE The given question is followed by two statements I and II. The answer is

(A) If the question be answered by using only one statement and not the other.

(B) If the question be answered by using either of the two statements alone.

(C) If the question be answered by using both the statements only.

(D) If the question cannot be answered even by using both of the given statements.

Is D the mid-point of the line segment AB?

It is given that

I.AE=CB II.DE=CD

HINT (I)-(II) gives (AE-DE) = (CB-CD) AD=DB

Given 4 distinct points in a plane. How many lines can be drawn using them, when

(A) all the 4 points are collinear?

(B) When no three of the four lines are collinear?

Prove that two distinct lines cannot have more than one point in common.

Let us define a statement as the sentence which can be judged to be true or false.

Which of the following is not a statement?

(A) 3+5=7.

(B Kunal is a tall boy.

(C)The sum of the angles of a triangle is 90°.

(D)The angles opposite to equal sides of a triangle are equal.

State Euclid’s axioms.

Match the following columns.

The correct answers are:

The question consists of two statements, namely, Assertion (A) and Reason (R). Please select the correct answer.

The question consists of two statements, namely, Assertion (A) and Reason (R). Please select the correct answer.