Dilation of Lines in the Coordinate Plane

Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?

• (-1, -2.5)
• (12, 6)
• (3, -1.5)
• (0, 1.5)

Enlargement or reduction?  Find the scale factor!

• It's a reduction; the scale factor is 2.
• It's an enlargement; the scale factor is 2.
• It's an enlargement; the scale factor is 1/2.
• It's a reduction; the scale factor is 1/2.

If the scale factor is greater than 1, the dilation is...

• an enlargement
• a rotation
• a translation
• a reduction

If the scale factor is less than 1, the dilation is...

• an enlargement
• a translation
• a rotation
• a reduction

Enlargement or reduction?  Find the scale factor!

• It's an enlargement; the scale factor is 1/2.
• It's an enlargement; the scale factor is 2.
• It's a reduction; the scale factor is 1/2.
• It's a reduction; the scale factor is 2.

Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1).  What are the coordinates of A' after a dilation by a scale factor of 2.5?

• (-5, 5)
• (5, -5)
• (5, 10)
• (7.5, -2.5)

Rectangle ABCD is dilated so that A' is located at (3, 6).  What could be the dilation rule?

• (2x, 3y)
• (2/3 x, 2/3 y)
• (3/2 x, 3/2 y)
• (x + 2, y + 3)

Quadrilateral RSTV is dilated so that the coordinates of S' are (3, 9).  What was the scale factor of the dilation?

• 0.6
• (1, 3)
• 3/2
• 3

Triangle ABC is dilated so that the coordinates of C' are (2, -1).  What was the scale factor of the dilation?

• 3
• 2
• 1/2
• 1/3

Polygon ABCDE will be dilated by a scale factor of 2.  Which statement is NOT true of the dilation?

• The corresponding angles of the two polygons will be equal.
• The dilation will be an enlargement.
• The original and the image will be congruent.
• Polygon A'B'C'D'E' will be proportional to polygon ABCDE.