Question

In this activity, you will explore how similarity transformations establish similarity for all circles. Open the GeoGebra geometry tool, and complete each step below. If you need help, follow these instructions for using GeoGebra.

Part A
Start by creating two different circles:

Create a point, and label it A. To make the remainder of the activity easier, choose integers for the x and y coordinates of point A.
Create a circle with its center at point A and with a radius of your choice. To make the remainder of the activity easier, choose an integer value for the radius.
Create another point, and label it B. To make the remainder of the activity easier, choose integers for the x and y coordinates of the point.
Create a circle with its center at point B and with a radius of your choice that is different from the radius chosen for circle A. To make the remainder of the activity easier, choose an integer value for the radius.
Take a screenshot of the two circles you created, save it, and insert the image in the space provided.
I JUST NEED HELP STARTING THIS PORBLEM!!!

Answer 1

Follow these steps

1. Open up the GeoGebra web app. Or you can use the offline downloaded/installed version if you prefer.
2. Select the point tool. Click anywhere you want on the screen and point A will show up where you clicked. Take note of point A's location in terms of x,y coordinates. Make x and y to be whole numbers. It helps to have the grid turned on so you can have point A snap to one of the grid locations.
3. Repeat step 2 to create point B. Make the x and y coordinates to be whole numbers.
4. Now click on the circle tool button. Then click on point A and click anywhere else on the screen, as long as you don't click on point B. A circle will form through point C. It's easiest to have point C be let's say 2 units away from point A (to get a radius of 2). Though you can pick any whole number for the radius that you want.
5. Repeat step 4 to create a circle around center point B. This circle will go through point D. Have the points B and D be some whole number of units away from one another.
6. Take a screenshot of what was created and send it to your teacher.

In short, your teacher wants you to create two circles with centers A and B. Circle A goes through point C, while circle B goes through point D. The x,y coordinates of every point are whole numbers, and so are the radius values.

The circles may or may not overlap in some way. It will depend on the placement of the points mentioned.

Below is a visual example of what I'm talking about. I recommend that you make your own similar drawing so you have practice with GeoGebra. It's honestly a very useful tool that is handy in practically any geometry situation. Ignore the equations of the circles if they don't make any sense right now.