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CTET Straightedge and Compass Construction — practice questions

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 1–30 of 63.

Which two tools are allowed in classical construction?Read the answer and worked solution →What can an unmarked straightedge be used for in a construction?Read the answer and worked solution →In which ancient civilization did compass-and-ruler constructions first arise?Read the answer and worked solution →Who proved in 1837 that an arbitrary angle cannot be trisected with ruler and compass?Read the answer and worked solution →Gauss showed in 1796 that a regular polygon with how many sides can be constructed?Read the answer and worked solution →Why is squaring the circle impossible with ruler and compass?Read the answer and worked solution →Doubling the volume of a cube fails with ruler and compass because it needs what?Read the answer and worked solution →How many basic constructions do all ruler-and-compass constructions repeat?Read the answer and worked solution →Draw a circle about each of two points through the other, then join both points to a crossing. Which shape?Read the answer and worked solution →What does a segment's perpendicular bisector do to it?Read the answer and worked solution →To bisect AB, draw circles at A and B with what radius?Read the answer and worked solution →What does an angle bisector do to an angle?Read the answer and worked solution →How many internal bisectors does a single angle have?Read the answer and worked solution →Every point on an angle bisector is equally far from which parts of the angle?Read the answer and worked solution →When bisecting an angle, what is the first circle's centre?Read the answer and worked solution →How are the internal and external bisectors of one angle related?Read the answer and worked solution →The interior angle bisectors of a triangle meet at which point?Read the answer and worked solution →What do you get when the three medians of a triangle intersect?Read the answer and worked solution →A line joining a vertex of a triangle to the midpoint of the opposite side is a what?Read the answer and worked solution →If a triangle has uniform density, its centroid is its what?Read the answer and worked solution →In a rhombus, each diagonal does what to the angles at its ends?Read the answer and worked solution →What does bisection mean in geometry?Read the answer and worked solution →In three-dimensional space, bisection is usually done by what?Read the answer and worked solution →Trisecting which angle would need an unbuildable 20 degree angle?Read the answer and worked solution →Which angle is easy to trisect with ruler and compass?Read the answer and worked solution →Which ancient mathematician showed that a marked straightedge can trisect any angle?Read the answer and worked solution →The Greeks could construct regular polygons with which numbers of sides?Read the answer and worked solution →Which regular polygon is NOT constructible with ruler and compass?Read the answer and worked solution →If a regular n-gon is constructible, which other polygon is also constructible?Read the answer and worked solution →How many Fermat primes are known?Read the answer and worked solution →

Worked practice questions

Which two tools are allowed in classical construction?

  1. Protractor and set square
  2. Marked ruler and divider
  3. Plain straightedge and compass
  4. Ruler and measuring tape
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Correct answer: C. Plain straightedge and compass

1. Classical constructions use only an idealized ruler and a compass. 2. The ruler has no markings, so it cannot measure lengths. 3. A protractor or marked ruler would let you read values, which breaks the rule of exact construction. _Source: Wikipedia, Straightedge and compass construction, lead section_

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What can an unmarked straightedge be used for in a construction?

  1. Measuring a length in centimetres
  2. Drawing a line segment between two points
  3. Drawing a circle around a point
  4. Measuring an angle in degrees
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Correct answer: B. Drawing a line segment between two points

1. A straightedge has one edge and no markings. 2. It can only join two points with a line segment or extend a segment. 3. It cannot measure length or draw circles; the compass draws circles. _Source: Wikipedia, Straightedge and compass construction, section Straightedge and compass tools_

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In which ancient civilization did compass-and-ruler constructions first arise?

  1. Ancient Egypt
  2. Ancient Greece
  3. Ancient Rome
  4. Ancient China
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Correct answer: B. Ancient Greece

1. These constructions were first conceived by the ancient Greek mathematicians. 2. Many plane geometry problems of that era imposed the tool restriction. 3. The other civilizations listed are not credited with originating the method. _Source: Wikipedia, Straightedge and compass construction, lead section_

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