wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the figure below, two vertices of a parallelogram are joined to the mid points of two sides. Then, the lines divide the diagonal in the picture into _______ equal parts.

  1. 3

Open in App
Solution

The correct option is A 3

In parallelogram ABCD, M is the midpoint of AB, N is the midpoint of DC.

AM = MB, DN = NC

In parallelogram ABCD, AB = CD

AB2=CD2=AM=DN

AM = BM = DN = NC .....(i)

DM and BN are parallel lines.

Draw 2 lines through A & C parallel to DM.

From (1), these parallel lines are equidistant.

Thus, parallel lines DM & BN divide AC into 3 equal parts.

AP = PQ = QC


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon