Activity 2.6.1 Euclidean Construction Tools A Euclidean Construction is one that can be made with only two tools, the straightedge and the compass. A straightedge is an unmarked ruler. Geogebra has three tools that serve as a straightedge. They are found in the Line menu. Locate two points, and Use the Line tool to draw a line passing through and A B. A B. Locate another point not on . Use the Ray tool C to draw the ray from endpoint passing through A C. Locate another point not on or on Use the Segment tool D to join points and B D. Geogebra has three tools to draw circles. They are found in the circle menu. Use the Circle-with-center-through-point tool to draw a circle with center at passing D through point D. Use the Compass tool to draw a circle with radius = and center at BD C. Use the Circle-with-center-and radius tool to draw a circle with center at and radius = 2 D units. Which two circles have the same radius? Move point and observes what happens. D Which two circles are Move a point to make them coincide. concentric?
Activity 2.6.1 Euclidean Construction Tools A Euclidean Construction is one that can be made with only two tools, the straightedge and the compass. A straightedge is an unmarked ruler. Geogebra has three tools that serve as a straightedge. They are found in the Line menu. Locate two points, A and B. Use the Line tool to draw a line passing through A and B. Locate another point C not on . Use the Ray tool to draw the ray from endpoint A passing through C. Locate another point D not on or on Use the Segment tool to join points B and D. Geogebra has three tools to draw circles. They are found in the circle menu. Use the Circle-with-center-through-point tool to draw a circle with center at D passing through point D. Use the Compass tool to draw a circle with radius = BD and center at C. Use the Circle-with-center-and radius tool to draw a circle with center at D and radius = 2 units. Which two circles have the same radius? Move point D and observes what happens. Which two circles are concentric? Move a point to make them coincide.
Activity_2_6_1a_042915.docx