Constructions CH 1

Michelle Smith, Aug 25, 2022

Constructions Ch 1


  • 1. Follow Construction Instructions
  • 2. Construct Congruent Segments
  • 3. Construct Congruent Angles
  • 4. Construct Angle Bisectors
  • 5. Construct Parallel Lines
  • 6. Construct Perpendicular Bisector (Midpoint)

1.

Follow Construction Instructions

Construction #1: Circle and Radius
Complete the following steps:[br]1) Using the POINT TOOL, place three points in the box below (Points A, B, and C)[br]2) Using the SEGMENT TOOL, draw segment AB[br]3) Using the COMPASS TOOL, create a circle with radius AB and center point C[br] [i]Tip: To make a circle with radius AB using the COMPASS TOOL, click on point A then point B[/i]
Using the MOVE TOOL, move point B in the problem above to change the radius of circle C.[br]How does the radius affect the circle?
Construction #2: Intersecting Circle and Line
Complete the following steps:[br]1) Using the COMPASS TOOL, create a circle with radius AB and centerpoint C[br]2) Using the POINT TOOL, mark points F and G at the intersections of circle C and segment DE[br]3) Using the SEGMENT TOOL, Draw triangle CFG
Construction #3: Intersecting Circles
Complete the following steps:[br]1) Using the COMPASS TOOL, create a circle with radius AB and centerpoint C[br]2) Using the COMPASS TOOL, create a circle with radius AB and centerpoint D [br]3) Using the SEGMENT TOOL, draw segment EF connecting the intersections of circle C and circle D
In the construction above, use the MOVE TOOL to move point B closer to point A. How does this affect line segment EF? What happens when the circles no longer intersect?
– Michelle Smith, AJ Storck

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