Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
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. 2 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. 3 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. 4 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. 5 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.: ____________ 6 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. 7