Dilations and Similarity in the Coordinate Plane

What is the value of X?

• X=4
• X=6
• X=3
• X=2

Are the triangles similar?

• Yes
• No

Are the triangles similar?

• Yes
• No

When you dilate a figure you...

• slide it.
• turn it.
• flip it.
• make it larger or smaller.

The pair of figures is similar. Find the missing side.

• x = 9
• x = 28
• x = 7
• x = 63

How does a dilation change the angles of a polygon?

• It changes by the scale factor.
• Dilations do not change the angles.
• It is impossible to answer this question.  The angles change unpredictably.
• The angles all change to larger angles.

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

• A'(9,9) B'(18,18) C'(27,9)
• A'(6,6) B'(9,9) C'(12,6)
• A'(0,0) B'(3,3) C'(6,0)
• A'(1,1) B'(2,2) C'(3,1)

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

• (5,3)
• (20,12)
• (-20,-12)
• (-5,-3)

Two objects that are the same shape but not the same size are _______.

• Congruent
• Vertical
• Similar
• Complementary 

Which triangle is similar to the above triangle ?

• A
• B
• C
• D