# Practice Problems

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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.
- Dilate each vertex of triangle ABC using P as the center of dilation and a scale factor of 12. Draw the triangle connecting the three new points.
- Measure the longest side of each of the three triangles. What do you notice?
- Measure the angles of each triangle. What do you notice? (Question for S2)

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? Explain.

Segment AB measures 3 cm. Point O is the center of dilation. How long is the image of AB after a dilation with . . .

- Scale factor 5?
- Scale factor 3.7?
- Scale factor 15?
- Scale factor s?

Here are points A and B. Plot the points for each dilation described.

- C is the image of B using A as the center of dilation and a scale factor of 2.
- D is the image of A using B as the center of dilation and a scale factor of 2.
- E is the image of B using A as the center of dilation and a scale factor of 12.
- F is the image of A using B as the center of dilation and a scale factor of 12.

Make a perspective drawing. Include in your work the center of dilation, the shape you dilate, and the scale factor you use.