Learning Goal: I can determine if two figures are similar based on the transformations used. (8.G.4) C. Similar Polygons 1. Determine if the two figures are similar by using transformations. Explain your reasoning. 2. Determine whether the pair of polygons is similar using properties of similar polygons. Explain your reasoning. Determine if the two figures are congruent and explain your answer using transformations. zacharyschaefer43 is waiting for your help. Add your answer and earn points. c. Are the tyo triangles congruent? Justifr your response, 8. Determine ifthe two figures are similar by using transformations. Explain your reasoning. 9. Use the similar slope triangles to show that the slope of the line is the same between any two distinct points on the line. 10. Two rectangles are similar. The length and width of the first Q. Determine if the two figures are congruent by using transformations. Explain your reasoning. A rotation of $${180^{\circ}}$$ about the origin will transform Figure 1 to Figure 2, making the two figures congruent. A dilation from the origin and a translation up will transform Figure 1 to Figure 2, making the two figures similar. Determine if the two figures are congruent and explain your answer using transformations. zacharyschaefer43 is waiting for your help. Add your answer and earn points. Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar. Explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. Explain 1 Determining if Figures are Congruent Example 1 Use the definition of congruence to decide whether the two figures are congruent. Explain your answer. y Your Turn Use the definition of congruence to decide whether the two figures are congruent. Explain your answer. 2. 3. The two figures appear to be the same size and shape, so look for a c. Are the tyo triangles congruent? Justifr your response, 8. Determine ifthe two figures are similar by using transformations. Explain your reasoning. 9. Use the similar slope triangles to show that the slope of the line is the same between any two distinct points on the line. 10. Two rectangles are similar. The length and width of the first Similarity and Transformations Determine if the two figures are similar by using transformations. Explain your reasoning. 1. E G F A C B 2. R U T ... Are the pictures ... c. Are Quadrilaterals B, C, D, and E similar? Are they congruent? Explain your reasoning. 2. The labeled figure is the pre-image used to create the other two figures using dilations. a. Determine the scale factor to map the pre-image to each of the other ﬁ gures. Explain your reasoning. y –8 –2 –4 –6 2 6 8 10 12 14 16 G F E D C B A x Prove that the figures are similar. Given: ∠≅∠ABE DBC, AE CD Prove: ABE is similar to DBC. 7. Is it possible to draw two circles that are not similar? Explain your reasoning. 8. The image shows what text often looks like when viewed through a magnifying glass. Does this represent a similarity transformation? Explain your reasoning. 9. Similarity and Transformations Determine if the two figures are similar by using transformations. Explain your reasoning. 1. E G F A C B 2. R U T ... Are the pictures ... Use the distance formula to find the length of each side. . So the given rectangles are not similar. &&66$5*80(176 Determine whether the polygons are always , sometimes , or never similar. Explain your reasoning. two obtuse triangles 62/87,21 Sometimes; sample answer: If corresponding angles are congruent and corresponding sides are Prove that the figures are similar. Given: ∠≅∠ABE DBC, AE CD Prove: ABE is similar to DBC. 7. Is it possible to draw two circles that are not similar? Explain your reasoning. 8. The image shows what text often looks like when viewed through a magnifying glass. Does this represent a similarity transformation? Explain your reasoning. 9. Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar. Explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. Similarity transformations include reflections, translations, rotations, and dilations. Two plane figures are similar if and only if one figure can be mapped to the other through one or more similarity transformations. Properties of Dilations • Dilations preserve angle measure. • Dilations preserve • Dilations preserve collinearity. Explain your reasoning. Determine if the two figures are congruent by using transformations. Reflect the red figure over a vertical line. Even if the reflected figure is translated up and over, it will not match the green figure exactly. The two figures are not congruent. b. Determine if the two figures are congruent by using transformations. Explain your reasoning. If you have two congruent figures, you can determine the Use the distance formula to find the length of each side. . So the given rectangles are not similar. &&66$5*80(176 Determine whether the polygons are always , sometimes , or never similar. Explain your reasoning. two obtuse triangles 62/87,21 Sometimes; sample answer: If corresponding angles are congruent and corresponding sides are 17. Determine if the two figures are similar by using transformations. Explain your reasoning. Demonstrate your knowledge by giving a clear, concise solution to each problem. Be sure to include all relevant drawings and justify your answers. You may show your solution in more than one way or investigate beyond the requirements of the problem. Determine if the two figures are congruent and explain your answer using transformations. zacharyschaefer43 is waiting for your help. Add your answer and earn points. Decide if two figures are similar and explain the meaning of triangle similarity Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. transformations did she use if the letter "d" is the preimage and the letter "p" is the image? Are the two figures congruent? iamond lumbing 2. Determine if the two figures are congruent by us ng transformations. Explain your reasoning. 1. Determine if the two figures are congruent by using transformations. Explain your reasoning. Quick Check Q. Determine if the two figures are congruent by using transformations. Explain your reasoning. Similar rectangles function on proportionality - that is, the ratios of the sides between two rectangles will be the same. In order to determine the base, we will be using this concept of ratios through solving for variables from the perimeter. First, all the dimensions of the first rectangle must be calculated. Determine if the two figures are similar by using transformations. Explain your reasoning. no; The ratios of side are not equal. Find the rafios of the side CD c — — so the not similar. 13. Shannon is making three different sizes of blankets from the same material. The first measures 2.5 feet by 2 feet. She wants to enlarge it by Section 5.1 Identifying Similar Figures 195 Work with a partner. a. Tell whether the new designs are proportional to the original design. Explain your reasoning. Original Design 1 Design 2 88 7 77 6 6 6 6 7 6 6 7 b. Draw two designs that are proportional to the given design. Make one bigger and one smaller. Label the sides of the designs with ... Q. Determine if the two figures are congruent by using transformations. Explain your reasoning. Describe congruence transformations. Use theorems about congruence transformations. Identifying Congruent Figures Two geometric fi gures are congruent fi gures if and only if there is a rigid motion or a composition of rigid motions that maps one of the fi gures onto the other. Congruent fi gures have the same size and shape. Congruent

Determine if the two figures are similar by using transformations. Explain your reasoning. (Examples 1 and 2) Donat forget the Assignment! page 541-543; 1-6, 11-13 Do this problem to find out. c. An art show offers different size prints of the same painting. The original print measures 24 centimeters bv 30 centimeters.