Question

Check whether (5, −2), (6, 4) and (7, −2) are the vertices of an isosceles triangle.

5. In a class room, 4 friends are seated at the points

A, B, C and D as shown in Figure. Jarina and Phani

walk into the class and after observing for a few

minutes Jarina asks phani “Don’t you think ABCD

is a square?” Phani disagrees.

Using distance formula, find which of them is correct.

Why ?

6. Show that the following points form a equilateral

triangle A(a, 0), B(−a, 0), C(0, a 3 )

7. Prove that the points (−7, −3), (5, 10), (15, 8) and (3, −5) taken in order are the corners

of a parallelogram. And find its area.

(Hint : Area of rhombus =

1

2

× product of its diagonals)

8. Show that the points (−4, −7), (−1, 2), (8, 5) and (5, −4) taken in order are the vertices of

a rhombus.

9. Name the type of quadrilateral formed, if any, by the following points, and give reasons for

your answer.

(i) (−1, −2), (1, 0), (−1, 2), (−3, 0) (ii) (−3, 5), (3, 1), (0, 3), (−1, −4)

(iii) (4, 5), (7, 6), (4, 3), (1, 2)
please if you answer me fast all these questions I will make sure brain list​

Answer 1

Answer:

Check whether (5, −2), (6, 4) and (7, −2) are the vertices of an isosceles triangle.

5. In a class room, 4 friends are seated at the points

A, B, C and D as shown in Figure. Jarina and Phani

walk into the class and after observing for a few

minutes Jarina asks phani “Don’t you think ABCD

is a square?” Phani disagrees.

Using distance formula, find which of them is correct.

Why ?

6. Show that the following points form a equilateral

triangle A(a, 0), B(−a, 0), C(0, a 3 )

7. Prove that the points (−7, −3), (5, 10), (15, 8) and (3, −5) taken in order are the corners

of a parallelogram. And find its area.

(Hint : Area of rhombus =

1

2

× product of its diagonals)

8. Show that the points (−4, −7), (−1, 2), (8, 5) and (5, −4) taken in order are the vertices of

a rhombus.

9. Name the type of quadrilateral formed, if any, by the following points, and give reasons for

your answer.

(i) (−1, −2), (1, 0), (−1, 2), (−3, 0) (ii) (−3, 5), (3, 1), (0, 3), (−1, −4)

(iii) (4, 5), (7, 6), (4, 3), (1, 2)

please if you answer me fast all these questions I will make sure brain list