**‹Exercise 7.1 Exercise 7.3›**

State whether the following statements are true or false. Justify your answer.

Q1. ∆ ABC with vertices A (–2, 0), B (2, 0) and C (0, 2) is similar to ∆ DEF with

vertices D (–4, 0) E (4, 0) and F (0, 4).

vertices D (–4, 0) E (4, 0) and F (0, 4).

**Solution: **

Q2. Point P (– 4, 2) lies on the line segment joining the points A (– 4, 6) and B (– 4, – 6).

**Solution: **

Q3. The points (0, 5), (0, –9) and (3, 6) are collinear.

**Solution: **

Q4. Point P (0, 2) is the point of intersection of y–axis and perpendicular bisector of line

segment joining the points A (–1, 1) and B (3, 3).

segment joining the points A (–1, 1) and B (3, 3).

**Solution: **

Q5. Points A (3, 1), B (12, –2) and C (0, 2) cannot be the vertices of a triangle

**Solution: **

Q6. Points A (4, 3), B (6, 4), C (5, –6) and D (–3, 5) are the vertices of a parallelogram.

**Solution: **

Q7. A circle has its centre at the origin and a point P (5, 0) lies on it. The point

Q (6, 8) lies outside the circle.

Q (6, 8) lies outside the circle.

**Solution: **

Q8. The point A (2, 7) lies on the perpendicular bisector of line segment joining the

points P (6, 5) and Q (0, – 4).

points P (6, 5) and Q (0, – 4).

**Solution: **

Q9. Point P (5, –3) is one of the two points of trisection of the line segment joining

the points A (7, – 2) and B (1, – 5).

the points A (7, – 2) and B (1, – 5).

**Solution: **

Q10. Points A (–6, 10), B (–4, 6) and C (3, –8) are collinear such that AB =

2/9AC

.

2/9AC

.

**Solution: **

Q11. The point P (–2, 4) lies on a circle of radius 6 and centre C (3, 5).

**Solution: **

Q12. The points A (–1, –2), B (4, 3), C (2, 5) and D (–3, 0) in that order form a

rectangle.

rectangle.

**Solution: **

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