Page 151 - classs 6 a_Neat

1. Classify the triangles in the given figure in two ways: (i) by their sides, (ii) by their angles. 1. Study the figure and list the following:
a.All vertices of the polygon.
b.All sides of the polygon.
c.All angles of the polygon.
d.All diagonals of the polygon.
e. The name of the polygon.

2. Study the circle with centre 0 and answer the following:
2. Draw ∠ABC of measure 80° with the help of a protactor. Now, with a ruler and a.List the two diameters.
compass, construct ∠ DEF = ∠ABC. b.Name any two chords.
3. Construct three circles with centre “O” and radii of 2 cm, 3 cm and 4 cm, c.Name two radii.
respectively. What are such circles called? Mark a point P in the interior of all the
circles. Mark a point R lying in the exterior region of all the circles. 3. Fill in the blanks.
a. A triangle has sides, vertices and angles.
RECAP A median of a triangle is the that joins a vertex to the of the
opposite side.
1. Draw the following triangles. c. An altitude of a triangle is the drawn from a vertex to the opposite side.
a.A triangle with no axis of symmetry.
b.A triangle with one axis of symmetry. 4. Draw a quadrilateral ABCD and name the following.
c.A triangle with three axes of symmetry. a. The four vertices. b.The four sides. c. The four angles.
2. Write two letters of the English alphabet having: d. Two pairs of opposite sides. e.Two pairs of opposite angles.
a.No axis of symmetry.
b.One axis of symmetry. 5. Indicate whether the following statements are true or false.
cMore than one axes of symmetry. a. A point has a length and width.
3. Draw a circle with centre O and radius 3.4 cm. Draw a diameter AB and another diameter CD. Join AC, CB, b. From one point we can draw only one line.
BD and DA What kind of quadrilateral is ABCD? c. The maximum number of points of intersection of three lines is 3.
4. Given two line segments AB = 6.4 cm and CD = 2.8 cm, construct a line segment whose length is equal to
a. AB + CD b. AB - CD c. 3CD
5. Draw a circle with centre O and radius 4 cm. Draw a chord PQ of length 3.2 cm. Draw the perpen dicular
bisector of PQ. Does it pass through the centre?
6. Draw an angle PQR of measure 85° using a protractor. Construct the bisector of the angle using a compass
and ruler. d. An infinite number of lines can be drawn through a given point.

e. Two interseting planes intersect at a point only.
7. Using a divider and a ruler, draw a line segment AB = 7 cm. Using a compass and a ruler find the perpendic-
ular bisector of AB. Name it P. At the point P, draw an angle of 60° using a ruler and a compass only. Name the 6. Classify the following angles as acute, obtuse, right, reflex, straight and complete angles.
a. 48°
b. 114°
d. 180°
e.210°
C. 170°
adjacent angles. If one angle is 60° (as constructed), what will be the measure of the other angle?
8. a. Construct an angle of 75° using a ruler and a compass only. f. 360° g. 65° h. 140° i. 270° j. 89°
b. Construct an angle of 135° using a ruler and a compass only. k. 90° I. go m. 181° n. 359° o.60°
7. The sum of three angles of a triangle is 180°. Which of the following will form a
triangle? Name the triangle (if formed).
9. In the figure ABCD, AB II CD. a. 60°, 45°, 60° b. 75°, 25°, 80° C. 110°, 30°, 40°
Find the values of x, y and z.
d. 90°, 45°, 45° e. 60°, 60°, 60°
8. In a triangle DEF, mark the following:
a. The points P, Q, R in the interior of ∆DEF.
b. The points X, Y, Z in the exterior of ∆DEF.
c. The points A, Band Con ∆DEF.

10. Draw a line segment XY of length 5.5 cm using a ruler and divider. Draw a perpen dicular to the line from 9. Write one difference between the following pairs.
point P lying outside the line. a. Square and rectangle. b. Square and rhombus.
c. Rectangle and parallelogram.
10. Draw neat diagrams to show the following shapes.
a. Cube b. Cuboid c. Cone d. Cylinder e. Sphere