Question 1 :
What is the figure obtained when you join the ends of any two perpendicular diameters drawn to a circle?
Question 2 :
Consider two circles with same centre and radii of 2.5 cm and 4 cm. Find the minimum distance between two points lying on each circle.
Question 3 :
Draw any line segment AB. Mark any point M on it. Through M, draw a perpendicular to AB. Is the construction possible ?
Question 5 :
Let A, B be the centres of two circles of equal radii ; draw them so that each one of them passes through the centre of the other . Let them intersect at C and D . What is the angle made by AB with CD ? (In degrees)
Question 6 :
Draw an angle of $ 70^{\circ} $. Can you make a copy of it using only a straight edge and compass?
Question 7 :
Draw a circle of radius 4 cm. Draw any two of its chords. Construct the perpendicular bisectors of these chords. Where do they meet?
Question 8 :
How many circles can you draw with a given centre O and a point, say P?
Question 9 :
Draw the perpendicular bisector of XY whose length is 10.3 cm. If M is the mid point of XY, what can you say about the lengths MX and XY?
Question 10 :
Given AB of length 3.9 cm, construct PQ such that the length of PQ is twice that of AB. What is the length of PQ ?
Question 13 :
Draw any line segment PQ. Without measuring PQ, can you construct a copy of PQ ?
Question 14 :
Draw an angle of measure $ 135^{\circ} $ and bisect it. Each angle measures an angle equal to?
Question 15 :
Draw a circle with centre C and radius 3.4 cm. Draw any diameter AB. Construct the perpendicular bisector of AB. The bisector passes through the point _____.
Question 16 :
If X is the mid point of the line segment AB. Then AX and AB are related as?
Question 17 :
Draw a line l and a point X on it. Through X, draw a line segment XY perpendicular to l. Now draw a perpendicular to XY at Y. Is the construction possible ?
Question 18 :
Construct AB of length 7.8 cm. From this , cut off AC of length 4.7 cm. Length of line segment BC equals?
Question 19 :
Draw a line segment of length 12.8 cm. Using compass, can you divide it into four equal parts ?
Question 20 :
What is the figure obtained when you join the ends of any two non-perpendicular diameters drawn to a circle?
Question 22 :
If AB is a line segment of length 9.5 cm. What is the distance between end A and perpendicular bisector ?
Question 23 :
Two lines (or rays or segments) are said to be perpendicular if they intersect such that the angles formed between them is ?
Question 24 :
Draw an angle of measure $ 153^{\circ} $ and divide it into four equal parts. Each part measures an angle of?
Question 26 :
With O as initial point, draw two rays $\overline{OA}$ and $\overline{OB}$. Let OC be line of symmetry for $\angle AOB $. Measure $\angle AOC $ and $\angle COB $. Are they equal?
Question 27 :
If the length of the diameter of a circle is 6.1cm, then radius of the circle is?
Question 28 :
Given some line segment AB, whose length you do not know, can you construct PQ such that the length of PQ is twice that of AB ?
Question 29 :
Draw an angle of measure $ 45^{\circ} $ and bisect it. Each angle measures an angle equal to?
Question 30 :
Draw a right angle and construct its bisector. What angle does it make with either of the arms ?
Question 31 :
Draw any angle with vertex O. Take a point A on one of its arms and B on another such that OA = OB. Draw the perpendicular bisectors of OA and OB. Let them meet at P. Is PA = PB ?
Question 32 :
Let $\angle POQ $ be of measure $ 75^{\circ} $. Pick the option indicating the angle made by the line of symmetry with OQ.
Question 33 :
Let $\angle POQ $ be of measure $ 147^{\circ} $. Pick the option indicating the angle made by the line of symmetry with OQ.
Question 35 :
Draw an angle of $ 40^{\circ} $. What is its supplementary angle?
Question 36 :
Is the perpendicular bisector of a line joining two points the same as the axis of symmetry?
Question 37 :
If AB is a line segment of length 7.3 cm. What is the distance between end A and axis of symmetry ?
Question 38 :
Draw the perpendicular bisector of XY whose length is 10.3 cm. Take any point P on the bisector drawn. Examine whether PX = PY
Question 39 :
Draw a circle with centre C and radius 3.4 cm. Draw any chord AB. Construct the perpendicular bisector of AB. The bisector passes through the point _____.
Question 40 :
Draw any line segment PQ. Take any point R not on it. Through R, draw a perpendicular to PQ. Is the construction possible ?
