Construction of a Perpendicular Bisector

Q.

Draw a line segment PQ = 4.8 cm.

Construct the perpendicular bisector of PQ.

Q. Draw a square WXYZ with side 5.2 cm.

Q.

Ali was asked to construct a square ABCD for which, the diagonal AC alone is given. He was given a compass and a straight edge (a ruler with NO markings). P is said to be the point of intersection of the diagonals of the square. Which of the following will be Ali's second step of construction?

1. Point P

2. Perpendicular bisector of AC

3. Diagonal AC

4. Side AB

Q.

If AE = BE, then CD is the perpendicular bisector of line segment AB.

1. True

2. False

Q.

Draw a circle with center C and radius $3.4cm$. Draw any chord AB. Construct the perpendicular bisector of AB and examine if it passes through C.

Q. How to bisect line segment in to unequal part's

Q.

Ali was asked to construct a square for which, the diagonal alone is given (length known) and nothing else. He was given a compass and a straight edge (a ruler with NO markings). The square is ACBD. P is said to be the point of intersection of the diagonals of the square. Which of the following is constructed as a first step in this construction?

1. B or CD, P, AP or PB or OC or OD

2. AB or BD, P, AP or PB or OC or OD

3. AC or CD, P, AP or PB or OC or OD

4. AD or CD, P, AP or PB or OC or OD

Q. Which basic property of a square will you use, if you are asked to draw a square with diagonal measuring 5 cm?

Q. Which basic property of a square will you use, if you are asked to draw a square with diagonal measuring 5 cm?