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Exploring Geometry Everyday
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Exploring Geometry Everyday
During a visit to a marae, Losa, Wiremu and Harrison help plan a welcoming display. Use the shapes and measurements in each task. Show your working where you can.
Shapes and angles
1.The noticeboard is a rectangle measuring 120 cm by 80 cm. What is its perimeter?
2.A square panel on the display has sides of 35 cm. Find its area.
3.A triangular pattern has angles of 48° and 67°. What is the size of its third angle?
4.Which description fits a regular pentagon?
- Five equal sides and five equal angles
- Five sides with exactly one right angle
- Four equal sides and four right angles
- Six equal sides and six equal angles
Transformations and symmetry
▲
◆
▲
◆
5.The border goes ▲, ◆, ▲, ◆. Which transformation could map one upright triangle onto the next upright triangle if the pattern pieces are identical and remain upright as they move along the border?
- Translation (slide)
- Reflection (flip)
- Rotation (turn)
- Enlargement
6.A motif has a vertical line marked through its centre. Its left half is a small circle above a triangle, while its right half is a small circle above a square. Is the marked line a line of symmetry? Explain your answer.
7.A display tile is turned through 90° clockwise. What is this transformation called, and how many degrees would complete a full turn?
Geometry in the visit
8.A kete is shaped like a rectangular prism. Name two properties of a rectangular prism and explain one way its shape is useful for carrying items.
9.Wiremu walks 6 m east and then 8 m north across a square courtyard. How far is he from his starting point in a straight line?
10.Harrison says every quadrilateral with four equal sides must be a square. Is he correct? Explain using angle properties.
11.Write one way that understanding geometry can help people design or use objects in everyday life. Give a specific example from the marae visit.
3 printable pages
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