Basic Geometrical Ideas quiz

A line segment has:

A ray has:

How many lines can pass through one given point?

How many lines can pass through two given points?

The number of diagonals in a quadrilateral is:

The longest chord of a circle is its:

If the radius of a circle is 5 cm, its diameter is:

The region in the interior of a circle enclosed by an arc and two radii is called a:

Which of the following is a polygon?

The opposite edges of a ruler are an example of:

Distinguish between a line and a line segment, with a rough figure of each. (2 marks)

What are concurrent lines? Draw three lines passing through a common point O. (2 marks)

What is a simple closed curve? Draw two examples. (2 marks)

Name the parts of a triangle: write the number of vertices, sides and angles and draw triangle XYZ. (2 marks)

What is the difference between an arc and a chord of a circle? Show both in a figure. (2 marks)

What is meant by the interior and exterior of an angle? Draw angle AOB and mark one point in each region. (2 marks)

Is it correct to say that angle ABC and angle CBA are the same angle? Give a reason. (2 marks)

Why is the letter "O" a simple closed curve but the figure "8" is not a simple closed curve? (2 marks)

Name two adjacent sides and one pair of opposite angles of quadrilateral ABCD. (2 marks)

What is the circumference of a circle? Give one example where we need to know it in daily life. (2 marks)

Five points are marked on a circle. (i) How many line segments can be drawn joining them in pairs? (ii) How many of these are chords of the circle? (iii) How many line segments would 3 points give? (3 marks)

Count the number of diagonals of (i) a triangle (ii) a quadrilateral (iii) a hexagon. Draw rough figures to show your answer. (3 marks)

In a circle with centre O, OA = 6 cm is a radius. (i) Find the length of a diameter. (ii) If AB is a diameter, find OB. (iii) If the diameter of another circle is 2.4 cm, find its radius. (3 marks)

Three lines are drawn in a plane. Find (i) the greatest number of points where they can intersect (ii) the least number (iii) the number of points if exactly two of them are parallel. Draw a figure for case (iii). (3 marks)

Draw an angle LMN. Mark point P in its interior and point Q in its exterior. Count the number of angles in a figure where three rays OA, OB and OC start from the same point O, and name them. (3 marks)

Read the passage and answer the questions. Riya looked at a railway track from a bridge. The two rails ran side by side for a long distance without meeting. Wooden sleepers were placed across the rails, each sleeper crossing both rails. (i) What kind of lines do the two rails represent? (ii) What kind of lines are a rail and a sleeper? (iii) Do the sleepers form parallel lines with each other? Explain. (5 marks)

Read the passage and answer the questions. A bicycle wheel has a central hub from which spokes go out to the rim. A metal rod is fixed across the wheel, passing through the hub from one side of the rim to the other. (i) Which part of a circle does a spoke represent? (ii) Which part does the metal rod through the hub represent? (iii) If each spoke is 30 cm long, what is the length of the rod? (5 marks)

Read the passage and answer the questions. Arun drew a closed figure on the board using five line segments that did not cross each other. He named the corners P, Q, R, S and T in order. (i) What is the name of this polygon? (ii) Name two diagonals of the figure. (iii) How many diagonals does it have in all? (5 marks)

Read the passage and answer the questions. A torch is switched on in a dark room and its beam of light starts from the bulb and goes on in one direction till it meets a wall. Geometry uses the beam of light as a model of a basic figure. (i) Which geometric figure does the beam of light model? (ii) How is it different from a line? (iii) Name a ray in a figure where O is the starting point and P lies on it, and explain why ray OP is not the same as ray PO. (5 marks)

Read the passage and answer the questions. Meena cut a round roti into four parts by making two straight cuts through the centre at right angles. Later she cut a straight strip off the edge of another roti without passing through the centre. (i) What part of a circle is each of the four pieces from the first roti? (ii) What part of a circle is the strip cut off the second roti? (iii) What does the straight cut of the strip represent? (5 marks)

Draw a circle of any radius with centre O. Mark and label the centre, a radius, a diameter, a chord, a minor arc, a major arc, a sector and a segment. Explain the difference between a sector and a segment, and between the interior and exterior of the circle. (6 marks)

Draw a figure with four points A, B, C, D such that no three are collinear, and join all pairs. Name all the line segments, all the triangles formed and the quadrilateral formed. Name its diagonals and the point where they meet. (6 marks)

Draw a quadrilateral ABCD and name its sides, angles, vertices, pairs of opposite sides, pairs of adjacent sides and diagonals. Mark a point in its interior and a point in its exterior. Explain why a quadrilateral is a polygon. (6 marks)

Explain with rough figures: (i) a point (ii) a line segment (iii) a line (iv) a ray (v) intersecting lines (vi) parallel lines. Give one real-life example of each. (6 marks)

Draw rough sketches of an open curve, a closed curve, a simple closed curve and a polygon. Explain the differences between them. Show the interior, exterior and boundary of a simple closed curve, and explain why the number of sides of a polygon is always at least three. (6 marks)