CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

In parallelogram ABCD, A(3,2), B(8,4) and D(5,7). Then the coordinates of C is



A

(9,8)

loader
B

(10,9)

loader
C

(9,10)

loader
D

(8,9)

loader

Solution

The correct option is B

(10,9)


Draw AE, DF parallel to x-axis and BE, CF parallel to y-axis, as shown in the figure above.

Now, in right triangles ABE and DCF

AB = DC

BAE = CDF

ABE = DCF

Therefore, AE = DF and BE = CF

Hence AE = DF = 8 -3 = 5 and BE = CF = 4 - 2 = 2

Now, x-coordinate of C = 5 + DF = 5 + 5 = 10 

         y-coordinate of C = 7 + CF = 7 + 2 = 9

Therefore coordinates of C is (10,9).


Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image