By Robert Haese
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This old booklet could have various typos and lacking textual content. buyers can obtain a loose scanned replica of the unique e-book (without typos) from the writer. no longer listed. now not illustrated. 1905. Excerpt: . .. II. THE CIRCLE one hundred and one. If the inscribed and circumscribed circles of a triangle are concentric, the triangle is equilateral.
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4 Using identical square pieces of paper, make 2 copies of this tangram. Number the pieces on both sheets. Cut one of the sheets into its seven pieces. Use the pieces to help you work out the following: a How many triangles like piece 1 would fit into the largest square? 1 3 4 2 5 b What fraction of the largest square is piece 1? c What fraction of piece 1 is piece 3? 6 d What fraction of the largest square is: i triangle 1 iii square 4 7 ii triangle 3 iv parallelogram 6? 5 Copy the given shape exactly.
How old are they? How many top and bottom rails would be needed to build a fence with 55 posts? As 6 £ 8 = 48, we guess their ages are 6 and 8. But 6 + 8 = 14 6= 16, so 6 and 8 are not correct. Try again: guess 12 and 4 as 12 £ 4 = 48. 12 + 4 = 16 X So Bob and Vince are 12 and 4 years old. We draw a table: Number of posts Number of rails 2 2 3 4 4 6 5 8 The pattern is: We subtract 1 from the number of posts and multiply the result by 2. So for 55 posts we need (55 ¡ 1) £ 2 = 54 £ 2 = 108 rails Exercise 13 1 Solve these problems using the trial and error method: a Find consecutive whole numbers that add up to 51.
It does not have any size. We use a dot to show where it is. B A plural of vertex. D B Ã ! Ã ! This is line AB or BA. B This is line segment AB or BA. A A B A This figure has 4 sides and four vertices (corner points). Vertices is the C Parallel lines never meet. Parallel lines are shown using arrow heads. Two lines in the same plane are either parallel or intersecting. ¡! This is ray AB. DEMO point of intersection Exercise 15 1 Give two examples in the classroom which indicate: a a point b DEMO a line 2 In geometry, what is meant by the word(s): a vertex b point of intersection Draw diagrams to illustrate each.
Basic Skills Mathematics Year 7 by Robert Haese