Dilation of Points and Figures

This video tutorial covers the concept of dilations in geometry, focusing on eighth-grade math. It explains how to dilate various shapes, including circles, ellipses, and triangles, from the origin using different scale factors. The tutorial provides step-by-step examples of calculating new coordinates for points on the coordinate plane after dilation. It emphasizes maintaining the shape and angles of figures while changing their size.

What is the result of dilating a point (4, 3) from the origin by a scale factor of 3?

• (10, 8)

• (12, 9)

• (15, 12)

• (7, 6)

When dilating an ellipse from the origin with a scale factor of 2, what are the new coordinates of the point (2, 1)?

• (5, 3)

• (6, 2)

• (3, 1.5)

• (4, 2)

If point A (7, 9) is dilated from the origin by a scale factor of 6, what are the new coordinates?

• (42, 54)

• (21, 27)

• (35, 45)

• (49, 63)

What are the new coordinates of point B (-8, 5) when dilated by a scale factor of 0.5?

• (-4, 2.5)

• (-6, 3)

• (-16, 10)

• (-10, 4)

What is the result of dilating point C (6, -2) by a scale factor of 0.75?

• (4.5, -1.5)

• (5, -1)

• (3, -1)

• (6, -2)

After dilating a triangle with vertices A(-2, 2), B(-3, -3), and C(6, 1) by a scale factor of 12, what are the new coordinates of A'?

• (-24, 24)

• (-12, 12)

• (-36, 36)

• (-18, 18)

What are the new coordinates of point D (0, 11) when dilated by a scale factor of 4?

• (0, 33)

• (0, 55)

• (0, 44)

• (0, 22)

When dilating a figure with a scale factor of 2/3, what are the new coordinates of point D (-6, 3)?

• (-6, 3)

• (-5, 2.5)

• (-4, 2)

• (-3, 1.5)

What is the result of dilating point E (-2, -5) by a scale factor of 1.5?

• (-2, -5)

• (-4, -10)

• (-1, -2.5)

• (-3, -7.5)

After dilating a triangle with vertices A(3, 2), B(12, 3), and C(9, 12) by a scale factor of 1/3, what are the new coordinates of B'?

• (5, 1.5)

• (6, 2)

• (3, 1)

• (4, 1)