Betweenness

Q. On a number line, points U, V and A are such that d(U, A) = 215 units, d(V, A) = 140 units and d(U, V) = 75 units. Which of the points is between the other two?
[2 Marks]

Q. If P - Q - R and d(P, Q) = 2 units, d(P, R) = 10 units, then d(Q, R) = ________ units.

1. 12
2. 8
3. 20
4. 2

Q. If P, Q, R are three distinct collinear points, then which of the following is/are possible?

1. Point Q is between P and R.
2. Point R is between P and Q.
3. Point P is between R and Q.
4. None of the above.

Q. If P - Q - R and d(P, Q) = 10 units, d(P, R) = 20 units, then d(Q, R) = ________ units.

1. 10
2. 20
3. 30
4. 5

Q. On a number line, points U, V and A are such that d(U, A) = 215 units, d(V, A) = 140 units and d(U, V) = 75 units. Which of the points is between the other two?

1. None of the above
2. Point U is between the points V and A.
3. Point V is between the points U and A.
4. Point A is between the points U and V.

Q. On a number line, points A, B and C are such that d(A, B) = 5 units, d(B, C) = 11 units and d(A, C) = 6 units. Which of the points is between the other two?

1. None of the above
2. Point A is between point B and point C.
3. Point B is between point A and point C.
4. Point C is between point A and point B.

Q. If P - Q - R and d(Q, R) = 30 units, d(P, R) = 70 units, then d(P, Q) = ________ units.

1. 30
2. 40
3. 70
4. 10

Q. Which of the following is made up of an infinite number of points?

1. A line segment of length $10cm$
2. A plane of area $20c{m}^2$
3. A ray
4. The boundary of a square.

Q. If d(Q, R) = 25, d(P, R) = 45, What must be the value of d(P, Q) if the points P, Q, R are on the same straight line and Q lies in between P and R

1. 30
2. 70
3. 50
4. 20

Q. On a number line, points A, B and C are such that d(A, B) = 81, d(B, C) = 54 and d(A, C) = 36. Which of the points is between the other two?

1. Point A is between point B and Point C.
2. Point C is between point A and Point B.
3. None of the above
4. Point B is between point A and Point C.