Dilating Figures

ΔOBC is similar to ΔOGT because: (choose the best answer)

• ΔOBC can be dilated about point O by a scale factor of 1/2, and then rotated 90 degrees about point O.

• ΔOBC can be dilated about point G by a scale factor of 1/2, and then reflected over the x- axis

• They aren't similar

• They map to each other with similarity transformations.

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

• Congruent

• Vertical

• Similar

• Complementary 

True or false, when a figure is dilated, the corresponding angles are congruent?

• True

• False

The __________ is the ratio of a length of the image to the corresponding length on the original figure.

• reduction

• enlargement

• scale factor

• center of dilation

 A dilation can produce a larger figure or a(n)______

• reduction

• enlargement

• scale factor

• center of dilation

True or false, when a figure is dilated, the new perimeter is always greater?

• True

• False

Similar figures must have

• Proportional sides and equal angles

• Equal sides and equal angles

• Proportional sides and the same number of angles

• Similar looking shapes

Which of the following is NOT a property of Dilations?

• Dilations preserve angle measure.

• Dilations preserve betweenness.

• Dilations preserve orientation.

• Dilations preserve size.

Circle A has a radius of a units and Circle B has a radius of b units. The radii of the two circles are not equal and a > b. What transformation must occur to make circles A and B the same size?

• Dilating circle A by a factor of b.

• Dilating circle A by a factor of a.

Are the two figures similar? Why or why not?

• No, because they are not the same size.

• No, because they don't share a center of dilation.

• Yes, because a translation 6 units down followed by a dilation of scale factor 2 through the origin maps Q to R.

• Yes, because a dilation of a scale factor 2 through the origin followed by a translation 6 units down maps Q to R.