No. 36.
606
GEOMETRICAL DRAWING.
CLASS IV.
1. Draw two straight lines of unequal length, call one AB and the other CD. Take one of them as equal to the base and the other as equal to one side of an isosceles triangle and construct a triangle accordingly.
2. Draw a triangle having its sides 4 inches, 3 inches and 2 inches long respectively.
Why can you not draw a triangle with sides in the proportion of 3, 2 and 1 ?
3. Draw an irregular pentagon and make another one exactly like it.
No. 37.
GEOMETRY.
CLASSES 1A & IB.
1. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles, included by these sides equal, then the triangles are equal in all respects.
Prove the above proposition.
2. Find the area of a triangle whose sides are 37 inches, 30 inches and 13 inches long respectively.
3. Construct
right-angled triangle having given the hypotenuse and
one other of its sides. Prove the truth of your construction.
f. Prove that the square on the diagonal of any given square is equal
in area to twice the given square.
5. Prove that the angle in a semicircle is a right angle.
Note:- Class IA to do questions 2 to 5 and Class 1B, questions 1 to 4.
No. 38.
GEOMETRY,
CLASS II.
1. Prove that the straight lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal to one another.
2. Define Parallel straight lines.
3. Prove that straight lines which are parallel to the same straight line are parallel to one another.
4. If you walk due North for 100 yards and then due East for 30 yards how far will you then be from your starting point.
5. Prove that all the interior angles of any rectilinear figure are equal to twice as many right angles as the figure has sides less four right angles.
No. 39.
GEOMETRY.
CLASS III.
1. What are the three Postulates ?
2. Explain what is meant by saying that complements of the same angle are equal.
3. If a clock is started at 12 o'clock, what will be the time when the hour hand has advanced 45 degrees and what will be the angle included by the hour and minute hands at that time?
4. How are triangles classified with regard to their angles?
5. Show that the angles at the base of an isosceles triangle are equal.
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