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GeoGebraGeoGebra Classroom

Construct a Reflection

Discover the construction used to reflect point, A, over line DE.
1. Using the Circle with Center through Point tool, create a circle with Center at Point A **Make sure the circle crosses the line of reflection DE twice!!! 2. Using the Intersect tool, create a points where the circle intersects the line of reflection. Point at Intersection 1: ______ Point at Intersection 2: ______ 3. Find the Radius of Circle A Using the Distance or Length tool measure the distance from the center of the circle to any point on the circle. Radius of Circle A: _______ 4.Using the Circle with Center and Radius tool create two circles: • Create a circle with center at Point at Intersection 1 (from Step 2) and radius (from Step 3) Center: _______ Radius: ________ • Create a circle with center at Point at Intersection 2 (from Step 2) and radius (from Step 3.) Center: _______ Radius: ________ 5. Using the Intersect tool, create a point where the two new circles intersect. How could you check if this point is Point A reflected over Line R? Write steps to construct a reflection of a point over a line on paper using a compass