Dilations | Baamboozle - Baamboozle | The Most Fun Classroom Games!

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A shape is dilated by a scale factor of 3. How can we represent this algebraically? (x,y) -----> (____,____)

(x,y) -----> (3x,3y)

If this shape is dilated by a scale factor of 3 with a center of dilation at (0,0), what are the coordinates of C'?

(3,6)

A dilation with a scale factor greater than 1 is called an __________

Enlargement

What is the center of dilation in this image?

(0,0)

What is the scale factor for this dilation?

2

If you dilate DEF with a center of dilation at (0,0) and a scale factor of 1/2, what are the coordinates of D'?

(1,3)

If we wanted to figure out the center of dilation for two triangles, how could we find it?

Draw rays through each corresponding set of vertices and see where they intersect.

A dilation with a scale factor between 0 and 1 is called a ____________

Reduction

S' is a dilation of S. Does this dilation have a scale factor greater than 1 or less than 1?

Greater than 1

What is the scale factor of this dilation?

2

A triangle is dilated by a scale factor of 1/2. How can we represent this algebraically? (x,y) ----> (_____,____)

(x,y) ----> (1/2x,1/2y)

A triangle has points A(2,1), B(3,4) and C(5,2) and a center of dilation at (0,0). It is dilated by a scale factor of 2. What are the coordinates of C'?

(10,4)