Honors Geometry Companion Book, Volume 2

7.2.3 Dilations and Similarity in the Coordinate Plane - Practice

1.  Quadrilateral DEFG has vertices at D ( − 2, 2), E ( − 1, 4), F (2, 3), and G ( − 1, − 2). Find the vertices of the quadrilateral after a dilation with scale factor 3.5.

2.  Quadrilateral JKLM has vertices at J (0, 0), K (0, 6), L (9, 12), and M (12, 0). Find the vertices of the quadrilateral after a dilation with scale factor 2 3 . .

4.  △ KJL ~ △ WJX . Find the coordinates of X and the scale factor.

3.  △ FOD ~ △ HOG . Find the coordinates of D and the scale factor.

6.  Given points A (2, 1), B (1, 4), C ( − 1, 10), D (8, 13), and E (4, 5), prove that △ ABE ~ △ ACD .

5.  Given points M (1, 2), N (4, 4), P (5, − 1), J ( − 7, − 1), K ( − 1, 3), and L (1, − 7), prove that △ MNP ~ △ JKL .

47

Made with FlippingBook - PDF hosting