Page 145 - classs 6 a_Neat

3. Define and draw the following:
Counstruction
a. a right angle b. an acute angle c. an obtuse angle 9 (Using Ruler and a Pair of Compasses)
d. a reflex angle e. a straight angle

TO DRAW THE PERPENDICULAR BISECTOR OF A GIVEN LINE SEGMENT
4. Draw a triangle ABC and name the following: EXAMPLE:1 Draw the perpendicular bisector of a given line segment AB of length 5 cm.
Steps of construction
a. the three vertices b. the three sides 1.Draw a line segment AB = 5 cm.
c. the three angles 2.With A as centre and radius more than half AB, draw arcs, P
Also draw the three medians of this triangle and name them.
one on each side of AB.
3.With Bas centre and the same radius as before, draw arcs,
5. Indicate whether the following statements are true or false. cutting the previously drawn arcs at P and Q respectively. A M B
4.Join PQ, meeting AB at M.
a. Every parallelogram is a trapezium but every trapezium is not a parallelogram. Then, PM is the perpendicular bisector of AB.
b. The diagonals of a parallelogram are equal. Verification Measure AM and MB. Q
c. Every rhombus is a parallelogram but every parallelogram is not a rhombus. You would find that AM = MB.
d. The diagonals of a rhombus bisect each other at right angles. Also, on measuring, we find that PMB = PMA = 90°
e. A square is the only regular quadrilateral. Hence, PM is the perpendicular bisector of AB.

6. Name the polygon that has
TO DRAW AN ANGLE EQUAL TO A GIVEN ANGLE
EXAMPLE:2 Draw an angle equal to a given angle ABC.
a. 3 sides b. 6 sides c. 9 sides d. 5 sides e. 10 sides Steps of construction
Let ABC be given.
7. Draw the following solid shapes 1.Draw a ray OX.

2.With B as centre and any radius, draw an arc cutting BA and BC at P and Q respectively.
a. cylinder b. regular pyramind c. prism
d. sphere e. square pyramind C Y

8. Write the shapes of the following: S
Q
a. a geometry box f. an oil funnel
b. a football g. an ice cream scoop B Q A O R X
c. a coin h. an ice cream cone
d. a piece of chalk i. a marble 3.With O as centre and the same radius, draw an arc, cutting, OX at R.
e. a road roller j. a duster 4.With Ras centre and radius as PQ, cut the arc through Rat S.
5.Join OS and produce it to any point Y.
9. Find the measure of the third angle and name the triangle if the two angles of a triangle are Then, XOY is the required angle equal to ABC.

a. 100° , 20° b. 60° , 60° C. 90° , 35° d. 90° , 45° e. 80° , 40° Verification Measure ABC and XOY.
You would find that XOY = ABC.
10. In the given figure, if UV || WX and UX || VW, then what kind of quadrilateral is UVWX? If UV = 8 cm and TO BISECT A GIVEN ANGLE
VW = 6.5 cm, what is the length of WX and XU? If U = 130° and X = 50° , what is the measure of V and
W?