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Shapes and Angles Exploration
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Shapes and Angles Exploration
Help plan a mini-golf course by solving each shape and angle challenge. Show working for calculations. Angles are measured in degrees (°).
Shape clues
Use the shape properties in the challenges below.
1.A course sign has four equal sides and four right angles. Which name describes it most precisely?
- Rectangle
- Square
- Rhombus
- Trapezium
2.A triangular putting-green sign has side lengths 5 cm, 5 cm and 8 cm. Classify the triangle by its sides, and explain your choice.
3.Select every property that is always true of a rectangle.
- It has four sides.
- All four sides are equal.
- It has four right angles.
- Opposite sides are parallel.
- It has exactly one pair of parallel sides.
Angle investigations
Angles can reveal how the course pieces fit together.
4.At a bend in the path, one angle is 127°. The angle beside it lies on the same straight line. Find the missing angle.
5.Three paths meet at a point. Their angles are 96°, 145° and x°. Calculate x.
6.A triangular course island has angles of 48°, 67° and x°. Find x, then classify the triangle by its angles.
7.True or false? Every square is a rectangle, but not every rectangle is a square. Give one reason for your answer.
TrueFalse
Design and explain
Use what you know to create and justify a course feature.
8.A four-sided platform has exactly one pair of parallel sides. What is its NZ geometry name?
- Kite
- Trapezium
- Rhombus
- Parallelogram
9.Draw a quadrilateral that is not a rectangle. Mark or label enough features to show why it is not a rectangle.
10.A path corner forms an angle of 90°. Is it acute, right or obtuse? Explain how you know.
11.Talia says, “A triangle can have two obtuse angles.” Is she correct? Use the angle sum of a triangle to justify your answer.
12.A square tile has a perimeter of 36 cm. What is the length of one side, and what is the size of each interior angle?
3 printable pages
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Page 2
Page 3
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