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CTET Straightedge and Compass Construction — practice questions — page 3

Explore 63 free Straightedge and Compass Construction questions in CTET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Straightedge and Compass Construction questions and exercises with answers

Showing questions 61–63 of 63.

Which operation is a common construction that copies a point across a line?Read the answer and worked solution →A triangle's twelve key lengths include its sides, altitudes, medians and what else?Read the answer and worked solution →Wantzel proved Gauss's condition is necessary for what?Read the answer and worked solution →

Worked practice questions

Which operation is a common construction that copies a point across a line?

  1. Mirroring a point
  2. Doubling a point
  3. Sliding a point
  4. Erasing a point
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Correct answer: A. Mirroring a point

1. Mirroring a point in a line means finding its reflection. 2. It is listed among the common ruler-and-compass constructions. 3. The other options are not constructions in the list. _Source: Wikipedia, Straightedge and compass construction, section Common straightedge-and-compass constructions_

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A triangle's twelve key lengths include its sides, altitudes, medians and what else?

  1. Angle bisectors
  2. Circle diameters
  3. Perimeter sums
  4. Circle radii
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Correct answer: A. Angle bisectors

1. The twelve key lengths are three sides, three altitudes, three medians and three angle bisectors. 2. Together with the three angles they give 95 combinations. 3. Diameters, circumferences and chords belong to circles. _Source: Wikipedia, Straightedge and compass construction, section Constructing a triangle from three given characteristic points or lengths_

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Wantzel proved Gauss's condition is necessary for what?

  1. Constructible polygons
  2. Pi being transcendental
  3. Doubling a cube by hand
  4. Lines being parallel
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Correct answer: A. Constructible polygons

1. Gauss gave a sufficient condition for a regular n-gon to be constructible. 2. Wantzel proved in 1837 that it is also necessary. 3. Lindemann, not Wantzel, handled pi. _Source: Wikipedia, Straightedge and compass construction, section History_

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