Using what you have learned about Similar Figures and Dilations, describe why Jada’s thinking is incorrect. Explain how you know. Jada says: “ ”

Rectangle ABCD is similar to rectangle RSTU. What is the value of x? 2 8 4 5 8 20 Note: The figures are not drawn to scale. You must use your knowledge of similarity to solve. 4 Rectangle ABCD is similar to rectangle RSTU. What is the value of x?

Rectangle ABCD is similar to rectangle RSTU. What is the value of x? 2 10 4 5 8 20 Note: The figures are not drawn to scale. You must use your knowledge of similarity to solve. 4 Rectangle ABCD is similar to rectangle RSTU. What is the value of x?

Congruent or Similar? Vocabulary Review: The two shapes need to be the same size to be ____________________ . Shapes do not change in size when the following rigid transformations happen: 1. _________________________ 2. _________________________ 3. _________________________ When we need to resize one shape to make a scaled copy, the shapes are not __________________ but are considered _________________ . A shape doesn’t have to change size to be similar. By definition, all shapes that are copies are similar. Shapes do not change in size in dilations if the scale factor used is _____ .

Unit 2 will be asking questions about: Is it always true? Is it sometimes true? Is it never true? Sometimes it is helpful to think about what you already know about the question before trying to answer it.

Unit 2 will be asking questions about: Is it always true? Is it sometimes true? Is it never true? Here are two questions: Can a square be a rectangle? Can a rectangle be a square?

What characteristics make a shape a square? Here are two questions: Can a square be a rectangle? Can a rectangle be a square? What characteristics make a shape a square? What characteristics make a shape a rectangle? What characteristics are shared with rectangles? Are there any characteristics that are different? Closed figure with four sides Opposite sides are congruent Two pairs of parallel sides o Four 90 (RIGHT) Angles

Page 59 CHOOSE ONE: TRUE in all cases (always true) TRUE in some cases (sometimes true) TRUE in no cases (never true) CHOOSE ONE: TRUE in all cases (always true) TRUE in some cases (sometimes true) TRUE in no cases (never true) CHOOSE ONE: TRUE in all cases (always true) TRUE in some cases (sometimes true) TRUE in no cases (never true)

Page 60

Page 60

4 2 = 2 6 4 = 1.5 Is Rectangle ABCD similar to Rectangle EFGH? How do the ratios of their sides correspond? 4 2 = 2 6 4 = 1.5

Page 62

Page 62

Page 62

Page 63 When any figure is dilated (if scale factor is >1 or <1): What remains the same? What changes? Are the figures similar, congruent, or neither?

Pages 63-64 Which side length corresponds to a? Which side length corresponds to b? Which pairs of side lengths do not correspond to a or b? What scale factor was used in this problem?