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Constructing a right-angled triangle given the length of the hypotenuse and one other side length

The starter and exit quiz of the lesson “Constructing a right-angled triangle given the length of the hypotenuse and one other side length”, from the unit “Loci and construction” (Year 11 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. What equipment should you use to make an accurate construction of this triangle?
  2. The diagram shows part of a protractor measuring an angle. What is the size of the angle?
  3. The diagram shows part of a protractor measuring an angle. What is the size of the angle?
  4. Laura is using GeoGebra to accurately draw a triangle with ∠BAC = 135° and ∠ABC = 32° and side AB = 6 units. Which of these tools should Laura use to draw side BC?
  5. ∠ABC = ___°.
  6. Starting with the first step, put these instructions in the correct order to construct triangle ABC.
  7. A pair of ___ is a tool which can be used to draw circles and arcs.
  8. Which construction should you use to create a right-angle?
  9. Jacob is constructing a right-angled triangle and has drawn a line segment for one of its shorter sides. Which tool can be used to construct a perpendicular line through one of its points?
  10. The diagram shows a right-angled triangle constructed from two circles. The length of the hypotenuse is ___ cm.
  11. The diagrams below show constructions for two congruent triangles. What is the radius of each circle in the diagram on the right?
  12. Starting with the first step, put these instructions in the correct order to construct the triangle ABC where the hypotenuse, AB, is 5 cm and BC is 3 cm.

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Constructing a right-angled triangle given the length of the hypotenuse and one other side length · Examplary