MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Distance Formula

If vertices o...

Question

If vertices of a quadrilateral are A (0,0), B(3,4), C(7,7) and D(4,3) then quadrilateral ABCD is

A

Parallelogram

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

Rectangle

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

Square

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

Rhombus

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
Rhombus

Obviously AB = BC = CD = AD = 5

and also AC $\neq$ BD. Therefore, it is a rhombus.

Suggest Corrections

thumbs-up

8

Similar questions

Q. The quadrilateral

A B C D

formed by the point

A (0, 0)

B (3, 4);

C (7, 7)

D (4, 3)

Q. The quadrilateral

A B C D

formed by the points

A (0, 0), B (3, 4), C (7, 7)

D (4, 3)

Q. A(0, 0), B(7, 2), C(7, 7) and D(2, 7) are the vertices of a quadrilateral. Find the slope of each diagonal.

A (0, 0), B (7, 2), C (7, 7)

D (2, 7)

are the vertices of a quadrilateral. The respective slopes of diagonals

A C

B D

Q. (i) Find the area of a quadrilateral ABCD whose vertices are
A(−4, −2), B(−3, −5), C(3, −2) and D(2, 3)

(ii) Find the area of the quadrilateral ABCD whose vertices are
A(0, 0), B(6, 0), C(4, 3) and D(0, 3)

(iii) Find the area of the quadrilateral ABCD whose vertices are
A(1, 0), B(5, 3), C(2, 7) and D(−2, 4).

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Distance Formula

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon