Proving Figures Are Similar Using Transformation

Matching sides are called

• Corresponding Sides
• Corresponding Angles
• The Same
• Congruent Sides

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

• Congruent
• Vertical
• Similar
• Complementary 

Sides in similar figures must be proportional.  

• True
• False 

Matching angles are called

• Corresponding Sides
• Corresponding Angles
• The Same
• Congruent Angles

Choose a point Y that will complete Triangle XZY so that it is similar to Triangle IJK.  List the scale factor from Triangle IJK to Triangle XZY.
HINT: Pay attention to the order of the vertices!

• (-4, 5) with a scale factor of 2
• (-4, 5) with a scale factor of 1/2
• (-4, 2) with a scale factor of 2
• (-4, 2) with a scale factor of 1/2

Describe a series of transformations that will map Kite RSTU onto Kite VXYZ.

• A reflection across the y-axis followed by a dilation of a scale factor of three.
• A reflection across the x-axis followed by a dilation of a scale factor of three.
• A 90º counter-clockwise rotation around the Origin followed by a dilation with a scale factor of three.
• A reflection across the y-axis followed by a dilation of a scale factor of one-third.

Determine the scale factor from Parallelogram ABCD to Parallelogram EFGH.

• 2/3
• 3/2
• 3/4
• 4/3

Describe a series of transformations that will map  Parallelogram ABCD onto Parallelogram GHEF.

• A translation (x, y) --> (x - 6, y - 2) followed by a dilation of 3/2.
• A translation (x, y) --> (x - 6, y - 2) followed by a dilation of 2/3.
• A translation (x, y) --> (x - 4, y - 4) followed by a dilation of 3/2.
• A translation (x, y) --> (x - 4, y - 4) followed by a dilation of 2/3.

Does the image show a dilation?

• Yes
• No

Tell whether the transformation is a dilation. Explain.

• No, scale factor isn't the same.
• Yes, scale factor is the same.