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Pui Ying College
F.1 Mathematics
Chapter Five --- Introduction to Geometry
Supplementary Exercise
Name: ______________
Class: __________ ( )
Date: _______________
Exercise 5.1
1.
The solid on the right has _________ planes, __________ lines
and ____________ vertices.
2.
Refer to the figure and fill in the blanks.
a) AB = AM + _____________
AM= AB - _____________
MB = _____________ - AM
b)
If AM = MB, then AM = MB =
1
__________ .
2
AB = 2 __________ = 2 _____________.
3.
Refer to the figure below. Write down the names of the angles that can be represented by one
capital letter only.
Ans.:
4.
Name the marked angles in the figure.
Ans.:
1
5.
Refer to the given figure.
following table.
Name the marked angles in 3 different ways and complete the
B
In 1 capital letter
ACB
In 3 capital letters
In small letter
6.
a
What types of angles are the unknown angles shown in the figures below?
Obtuse angle, Right angle, Reflex angle, Straight angle, acute angle
__________
___________
____________ __________
______________
Exercise 5.2
1. Use equal-distance point paper to sketch 2-D representations of the following 3-D solids.
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2. Add cubes to each solid shown below, so that if becomes a large cube with 3 cubes on each
side. How many cubes do you need?
a)
Ans.:
b)
Ans.:
3. Draw the cross-section along the dotted line in each of the following 3-D solids.
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4. Draw all the possible cross-sections of the following 3-D solids
Exercise 5.3
1. As shown in the figure, point A lies on 1 and point E lies on  2 .
a)
Draw a straight line through A and
perpendicular to  2 . Mark the
b)
point of intersection as B.
Draw a straight line through E and
perpendicular to 1 . Mark the
c)
point of intersection as F.
Measure the lengths of AB and EF.
What do you find?
2. Construct a right-angled triangle ABC. The lengths of two sides AC and BC are 5 cm and
3 cm respectively. The right angle is included between AC and BC.
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3. Construct ABC with AB = 4 cm, BC = 5 cm and ABC = 50°.
4. a) In the figure, a = b. Draw two straight lines through A and
perpendicular to XO and YO respectively. Mark the points
of intersection as M and N respectively.
b) Measure AM and AN.
Ans.:
What do you find?
5. Construct ABC with BC = 5 cm, ABC = 50° and ACB = 40°.
6. The figure shows ABC with AB = 4 cm, BC = 3 cm,
 A = 30° and ACB is a obtuse angle.
Construct DEF with DE = AB = 4 cm, EF = BC = 3 cm
and D =  A = 30° , but DFE is an acute angle.
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Revision Exercise 5
1. The angle that the minute hand on a clock turns through in 40 minutes is a/an
A) acute angle.
B) right angle
C) obtuse angle
D) straight angle
E) reflex angle
Ans.: _________
2.
3
of a right angle =
2
A)
B)
C)
D)
E)
90°
135°
180°
225°
270°
3. The figure shows a net of a cube. On the face opposite to that with 2 points, how many
points can you find?
A) 1
B) 3
C) 4
D) 5
E) 6
Ans.: _____________
4. The figure below shows half of an ice-cream cone. How many flat surfaces, curved
surfaces, straight lines, curved lines and vertices are there?
Ans. :
5. In the figure, if AB = 6 cm, AC = 1.5 cm and AC = DB, find the length of CD.
Ans.: ____________
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6. The figure on the right shows a regular polyhedron.
(a) Name the polyhedron.
________________________________________
(b) Find the numbers of faces (F), edges (E) and vertices (V).
_________________________________________
(c) Write a formula to represent the relation between F, E and V.
_________________________________________
7. The figure on the right shows a right circular cone.
(a) Draw the horizontal cross-section passing through the base of the cone.
(b) Draw the vertical cross-section passing through the center of the base of the cone.
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