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they have exactly the same size and shape. they have different size and shape. corresponding angles are congruent corresponding angles are right angles corresponding sides are proportional corresponding sides are congruent Two polygons are similar if SELECT TWO THAT APPLY. SHOW WORK ON PAPER. Solve the proportion below. Solve for x. x 10 round answer to the nearest tenth. x = = 15 25 SHOW WORK ON PAPER. Solve the proportion below. Solve for x. 1114 round answer to the nearest tenth. x = = x21 SHOW WORK ON PAPER. Solve the proportion below. Solve for x. 5x -3 round answer to the nearest tenth. x = = 10 x SHOW WORK ON PAPER. Solve the proportion below. Solve for x. x + 9 6 round answer to the nearest tenth. x = = x + 5 4 ABCD and XYZW are not similar because the corresponding sides are not proportional ABCD ~ XYZW ABCD ~ WXYZ Similarity ratio is 18/35 Similarity ratio is 3/5 Similarity ratio is 7/10 Are the polygons are similar? If they are, write a similarity statement and give the similarity ratio. If they are not, explain. HINT: Rotate the small rectangle. ABCD and WXYZ are not similar because the corresponding angles are not congruent. ABCD and WXYZ are not similar because the corresponding sides are not proportional ABCD ~ WXYZ Similarity ratio is 3/4 Similarity ratio is 2/3 Similarity ratio is 1/2 Are the polygons are similar? If they are, write a similarity statement and give the similarity ratio. If they are not, explain. HINT: DO NOT Rotate any rectangle. AG = 48.7 56.7 68.2 29.8 69.4 46 78.1 97 Multiple Choice: 46.8 15.8 47.6 57 51.6 52.8 87.4 19.8 Find the value of x. x = SHOW WORK ON PAPER. x = Find the value of x. SHOW WORK ON PAPER. x = Find the value of x and y. y = ∆QRS ~ ∆UVT because the corresponding angles are ≅ and the corresponding sides are proportional. ∆QRS not ~ to ∆UVT because the corresponding angles are not ≅. ∆QRS not ~ to ∆UVT because the corresponding sides are not congruent ∆QRS not ~ to ∆UVT because the corresponding sides are not proportional In ∆QRS, QR= 18, RS = 36, and m∠Q= 270. In ∆UVT, UV = 24, UT = 42, and m∠U = 270. Determine whether the triangles are similar. If they are, write the similarity statement. If not, explain. HINT: SKETCH THE TRIANGLES AND LABEL EACH MEASURES. ∆QRS ~ ∆UVT because the corresponding angles are ≅ and the corresponding sides are proportional. ∆QRS not ~ to ∆UVT because the corresponding angles are not ≅. ∆QRS not ~ to ∆UVT because the corresponding sides are not congruent ∆QRS not ~ to ∆UVT because the corresponding sides are not proportional In ∠QRS, QR= 18, RS = 36, and m∠Q= 270. In ∠UVT, UV = 24, UT = 48, and m∠V = 270. Determine whether the triangles are similar. If they are, write the similarity statement. If not, explain. HINT: SKETCH THE TRIANGLES AND LABEL EACH MEASURES. ∆QRS ~ ∆UVT because the corresponding angles are ≅ and the corresponding sides are proportional. ∆QRS not ~ to ∆UVT because the corresponding angles are not ≅. ∆QRS not ~ to ∆UVT because the corresponding sides are not congruent ∆QRS not ~ to ∆UVT because the corresponding sides are not proportional In ∠QRS, QR= 18, QS = 36, and m∠Q= 270. In ∠UVT, UV = 24, UT = 48, and m∠U = 270. Determine whether the triangles are similar. If they are, write the similarity statement. If not, explain. HINT: SKETCH THE TRIANGLES AND LABEL EACH MEASURES. The polygons in each pair are similar. Find the similarity ratio of the smaller figure to the larger figure. The polygons in each pair are similar. Find the similarity ratio of the smaller figure to the larger figure. ∠ ∠ ∠ |