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Transcript
SJO PW - Język angielski ogólnotechniczny, Poziom B2 Lekcja 4 B _______________________________________________________________________________________ GEOMETRY AND MEASUREMENT Task 1. Adjectives describing the shapes – complete the table below. 2D shapes NOUN square rectangle triangle hexagon 2D shapes ADJECTIVE 3D shapes NOUN rectangular cube cylinder hexagonal octagonal pentagonal circular semicircular spiral pentagon circle semicircle sphere hemisphere dome cone pyramid wedge Task 2. 3D shapes ADJECTIVE cylindrical tubular spherical hemispherical conical/cone-shaped pyramidal/pyramid-shaped helical wedge-shaped Decide if the following sentences are true or false. T/F 1. If a triangle is equilateral, it has three equal sides. 2. Space is a particular set of points. 3. Not all lines which lie in the same plane are parallel lines. 4. An obtuse triangle has two obtuse angles. 5. An acute angle measures more than 180O. 6. A rectangle is a polygon which has all sides of equal length. 7. Only some polygons are quadrilaterals. 8. A hypotenuse is the side of a triangle opposite the obtuse angle. 9. Any chord of a circle can be called the diameter. 10. A point has no thickness and breadth but it has length. 11. Two perpendicular lines share a common point. 12. Non - polyhedra have flat faces. 13. A cuboid is a prism. 14. A cone has two curved sides. 15. The base of a cylinder is the same as its top. 16. All points on the surface of a sphere are the same distance from the centre. Task 3. Complete the sentences with an appropriate word from the list below: meet, said, vertex, vertices, equally, length, diameter, sides, square, greater, less, times, interior, obtuse, ratio, by 1. Angles that share a common ………………. and edge but do not share any ………………… points are called adjacent angles. 2. The area of a rectangle is the ………………. of the side …………………… the width. 3. Lines that …………….. in a right angle are …………….. to be perpendicular. 4. An angle …………… than a right angle is called acute, an angle …………….. than a right angle but less than 180O is called …………………. . 5. For any circle, the ……………… of the circumference to the ………………… is the same fixed number represented …………. the letter pi. 6. A centre of a regular polygon is a point …………….. removed from all its ……………… . 7. In a right-angled triangle the ………………. of the hypotenuse is equal to the sum of the squares of the other two ………….. . 1 SJO PW - Język angielski ogólnotechniczny, Poziom B2 Lekcja 4 B _______________________________________________________________________________________ Task 4. 1. 2. 3. 4. 5. 6. 7. 8. An isosceles triangle A hypotenuse A circle divides a plane The intersection of a straight line Lines and planes are proper subsets of When a regular hexagon is inscribed in a circle The centre of a regular polygon If two distinct lines which are not in the same plane do not intersect, Task 5. 1. 2. 3. 4. 5. Match two halves of the following sentences: a. b. c. d. e. f. they are said to be skew. the universal set of points called space. into three sets of points. is a point equally removed from all its vertices. has two equal sides. the circle passes through all the angular points or vertices of the hexagon. g. and a plane is a point. h. is the side of a triangle opposite to the right angle. Underline the correct answer Polyhedra figures include a cone / do not include a cone. The cross-section of a triangular prism is a circle / a triangle. The faces of a rectangular prism are rectangular / square. If the base of a pyramid is a regular polygon, it is a regular / an irregular pyramid. The Great Pyramids of Egypt are square pyramids / triangular pyramids. Task 6. Fill the gaps with the following verbs: join, bisect, intersect, label, cut 1. If you ……………….. something, especially an angle, you draw a line that divides it into two equal parts. 2. When you ………………… something, you use a word or short expression in order to briefly describe them. 3. If something such as a line, a path, or a bridge ……………………. two other things, it connects or links them together. 4. To ………………….. something means to be in the middle of it, dividing it into two parts. 5. If you …………………….. a place, area, or surface, you divide it by crossing it. Task 7. Figure Dictation Game At home draw a fairly clear but complex figure that consists of various shapes connected together. Avoid drawing too obvious shapes like the sun, a Christmas tree, a simple representation of a house. In class work with another student and explain to him/her how to draw your figure so that it will be the closest representation of what you have created. DO NOT show the figure to your partner until he/she gets it right. Task 8. Answer the questions 1. How is the base of a cube different from the base of a cuboid? 2. What is the cross-section of a cone? 3. What kind of a triangle needs to be rotated in order to create a cone? 4. How many edges and vertices does a torus have? 5. Which 3-D figures are not polyhedrons? a torus, a prism, a cone, a cylinder. 6. What shape is a football? REFERENCES: For references see lesson 4A 2