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IM Geo.1.7 Practice: Construction Techniques 5: Squares

Author:GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

Which of these statements is true?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

This diagram is a straightedge and compass construction of a square BACD (not all markings are shown).

The construction followed these steps:

  • Start with two marked points  and 
  • Use a straightedge to construct line 
  • Use a previous construction to construct a line perpendicular to  passing through 
  • Use a previous construction to construct a line perpendicular to passing through
  • Use a compass to construct a circle centered at  passing through
  • Label an intersection point of that circle and the line from step 3 as
  • Use a previous construction to construct a line parallel to  passing through
  • Label the intersection of that line and the line from step 4 as
  • Use a straightedge to construct the segments and
Explain why you need to construct a circle in step 5. Use the applet below if it is needed.

To construct a line passing through the point C that is parallel to the line AB, the first step is to create a line through C perpendicular to AB.

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Jada wanted to construct a line perpendicular to line l through point C. The diagram shows her construction.

What was her mistake?

Noah is trying to bisect angle BAC. He draws circles of the same radius with centers B and C and then uses one of the points of intersection for his ray.

What mistake has Noah made in his construction?

Here is a straightedge and compass construction. Use a straightedge to draw an equilateral triangle on the figure.

 Explain how you know the triangle is equilateral.

Here are 2 points in the plane.

Explain how to construct a line segment that is half the length of segment .

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