Open Up - Grade 8 - Mathematics - Unit 2 - Lesson 2

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.(Show Your Work)

Dilate each vertex of triangle ABC using P as the center of dilation and a scale factor of . Draw the triangle connecting the three new points.(Show Your Work)

Measure the longest side of each of the three triangles. What do you notice?(short answer)

Here is triangle ABC.

Measure the angles of each triangle(That you created in question 2). What do you notice?

Describe a rigid transformation that you could use to show the polygons are congruent.

The line has been partitioned into three angles.

Is there a triangle with these three angle measures?