IM 8.2.2 Practice: Circular Grid
Here are Circles c and d. Point O is the center of dilation, and the dilation takes Circle c to Circle d. Plot a point on Circle c. Label the point P. Plot where P goes when the dilation is applied.
Plot a point on Circle d. Label the point Q. Plot a point that the dilation takes to Q.
Here is triangle ABC. Dilate each vertex of triangle ABC using P as the center of dilation and a scale factor of 2. Draw the triangle connecting the three new points. Then, do the same using a scale factor of 1/2.
Measure the longest side of each of the three triangles. What do you notice?
Measure the angles of each triangle. What do you notice?
Describe a rigid transformation that you could use to show the polygons below are congruent.
The line has been partitioned into three angles.
Is there a triangle with these three angle measures?
Explain.