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Geometry Fundamentals Introduction
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Geometry Fundamentals Introduction
Help Alex, Tevita and Isla get a bike repair shop ready for opening. Use geometry clues to solve each task. Diagrams are not drawn to scale.
Circle parts and angles
1.A wheel hub has a point at its centre and a point on the rim. The straight segment joining them is which part of a circle?
- A diameter
- A radius
- A chord
- The circumference
2.A spoke runs from one side of a circular wheel to the other through its centre. What is this segment called?
3.Two straight spokes cross at the wheel’s centre. One of the angles is 58°. What is the vertically opposite angle?
4.A repair stand has a straight crossbar. One angle between the crossbar and a support is 127°. Find the adjacent angle on the straight line. Show a calculation.
5.A circular sign has a centre-to-rim distance of 18 cm. What is its diameter? Explain how you know.
6.Sketch a circle for the shop’s wheel diagram. Label its centre, one radius, one diameter and one chord that does not pass through the centre.
Lines and transformations
7.Alex draws two level lines on the workshop plan that will never meet, even if extended. What are these lines called?
8.Tevita places a shelf bracket so its two edges meet at exactly 90°. What is the relationship between the edges?
9.Isla makes a logo from a small triangle. She slides it to the right without turning or flipping it. Name this transformation.
- Reflection
- Rotation
- Translation
- Enlargement
10.The logo triangle is then turned 90° clockwise around a fixed point. Has its facing direction changed, and has its size changed?
11.Match each movement of the shop logo to its transformation: (1) flip over a line, (2) turn around a fixed point, (3) slide without turning.
- Flip over a line
- Turn around a fixed point
- Slide without turning
- Translation
- Reflection
- Rotation
12.Choose one geometry idea from this worksheet and describe a practical use for it in a bike repair shop.
3 printable pages
Page 1
Page 2
Page 3
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