Course ActivityProving That All Circles Are SimilarThe Lesson Activities will help you meet these educational goals:●Content Knowledge—You will prove that all circles are similar.●Mathematical Practices—You will use appropriate tools strategically.●Inquiry—You will perform an investigation in which you will make observations, drawconclusions, and communicate your results in written form.●21st Century Skills—You will carry out technology-assisted modeling.DirectionsPleasesave this documentbefore you begin working on the assignment. Type youranswers directly in the document._________________________________________________________________________Teacher-Graded ActivitiesWrite a response for each of the following activities. Check the Evaluation section at the endof this document to make sure you have met the expected criteria for the assignment. Whenyou have finished, submit your work to your teacher.1.Proving That All Circles Are SimilarIn this activity, you will explore how similarity transformations establish similarity for allcircles. Open theGeoGebrageometry tool, and complete each step below. If you needhelp, follow theseinstructionsfor using GeoGebra.a.Start by creating two different circles:●Create a point, and label itA. To make the remainder of the activity easier, chooseintegers for thexandycoordinates of pointA.●Create a circle with its center at pointAand with a radius of your choice. To makethe remainder of the activity easier, choose an integer value for the radius.●Create another point, and label itB. To make the remainder of the activity easier,choose integers for thexandycoordinates of the point.
