Geo Chapter 7 Similarity
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7.1 Another way of writing the ratio ⅓ is : 1 to 3 1 : 3 all of the above 7.1 Fill in the blank: A ____________________ is an equation stating two ratios are equal. portion ration proportion propeltion 7.1 A proportion compares two numbers by: multiplication division addition powers 7.1 The ratio of the angle measures in a triangle is 1:2:3. What is the measure of the largest angle? largest angle = 2x 3x degrees 1x 7.1 Solve the following proportion for x. x = 120 x 40 2 = 7.1 Solve the following proportion for x. x = 2x - 1 x + 1 6 2 = 7.1 Solve the following proportion for x. x = x + 2 x - 1 3 4 = 7.1 Solve the following proportion for x. x = 4 x x 16 = 7.1 Solve the following proportion for x. x = 9 x x 4 = 7.1 Solve the following proportion for x. x = 25 5 x 3 = 7.1 Solve the following proportion for x. x = 12 -3 x 1.5 = The ratio of the lengths of a triangle are 4:6:9 and its perimeter is 57cm. Find the length of the shortest side. 7.1 short side =  7.1 Write a ratio expressing the slope of line m. slope = Write a ratio expressing the slope of line l. Write the numerator as a negative number. 7.1 slope = 7.1 Solve the following proportion for x. x = x 3 + x 2 8 = 7.1 Solve the following proportion for x. x = 14 35 x 50 = 7.2 Fill in the blank: Two figures are similar if and only if their sides are _____________________ and their angles are ___________________. congruent; congruent congruent; proportional proportional; congruent proportional; proportional  Are the figures below similar? 7.2 Yes No  Are the figures below similar? If so, find the similarity ratio. 7.2 No, not similar figures Yes, similarity ratio = ⅔ Yes, similarity ratio = 5 Yes, similarity ratio = ⅓  7.2 Are the figures below similar? Yes No  Are the figures below similar? 7.2 Yes No  Tell if the triangles are similar. If so, give the similarity ratio. 7.2 Yes, similarity ratio = 2/ 2.3 Yes, similarity ratio = 1.5 / 1.7 No, Not Similar Yes, similarity ratio = 1.4 / 1.6  7.2 Write a similarity statement for the similar polygons below. Find the similarity ratio JIHK ~ similarity ratio = .7 1.56 1.25  7.2 Write a similarity statement for the similar polygons below. Find the similarity ratio. ABC ~ similarity ratio = 2/3 5/8 .77 7.2 A replica car has a similarity ratio of 2:45. The replica car has a length of 6.4 inches. Find the length of the original car in feet. * remember to change answer to feet!! length of the original = feet 7.2 A replica car has a similarity ratio of 1:30. The replica car has a width of 3.2 inches. Find the width of the original car in inches. width of the original = inches  7.3 Determine whether the polygons are similar. If so, identify the theorem or postulate used. Not similar Similar, AA Similar, SAS Similar SSS  Determine whether the polygons are similar. If so, identify the theorem or postulate used. 7.3 Not similar Similar, AA Similar, SAS Similar SSS  7.3 Determine whether the polygons are similar. If so, identify the theorem or postulate used. Not similar Similar, AA Similar, SAS Similar SSS  Determine whether the polygons are similar. If so, identify the theorem or postulate used. 7.3 Similar SSS Not similar Similar, SAS Similar, AA  7.3 Determine whether the polygons are similar. If so, identify the theorem or postulate used. Similar, SAS Similar SSS Not similar Similar, AA  Determine whether the polygons are similar. If so, identify the theorem or postulate used. 7.3 Similar, SAS Similar SSS Not similar Similar, AA  Determine whether the polygons are similar. If so, identify the theorem or postulate used. 7.3 Not similar Similar, AA Similar, SAS Similar SSS  7.3 Determine whether the polygons are similar. If so, identify the theorem or postulate used. Similar, SAS Similar, AA Similar SSS Not similar area ∆ABC = 32 Given that the two triangles are similar use the similarity ratio to find the perimeter of ∆XYZ A 12 Area of ∆XYZ = C B X 18 Y Z  Find the perimeter of WXYZ. (just write the number, no units) 7.5 7.5 If two triangles have a similarity ratio of ½ Find the perimeter and area ratios. perimeter ratio = ¼ area ratio = 2 perimeter ratio = ½ area ratio = (½)2 perimeter ratio = (½)2 area ratio = ½ 7.5 If two triangles have a similarity ratio of ⅜ find the ratio of their perimeters and area. perimeter ratio = ⅜ area ratio = 6/16 perimeter ratio = ⅜ area ratio = ⅜ perimeter ratio = ⅜ area ratio = 9/64 7.5 Find the area of WXYZ. (just write the number, no units)  Find the height of the pole, segment DF. Write your answer without units. 7.5  Round your answer to the nearest foot. 7.5  7.5 Round to the nearest foot.  7.5 21.4 m 90.0 m 168.0 m 288.0 m  7.5 23.45 m 30.6 m 75.0 m 85.8 m  Given that ∆ABC~∆ADE, find the scale factor. 7.6 3/5 5/3 5/4 3/4 Given that ∆ABC~∆ADE, find the coordinates of D. 7.6 (0, -20) (-20, 0) (0, -11) (-11, 0)  Given that ∆PQR~∆PST, find the scale factor. 7.6 3 1.13 2.67 .89 Given that ∆PQR~∆PST, find the coordinates of S. 7.6 (0, 8) (0, 6) (6, 0) (8, 0)  7.6 The figure shows a photograph on grid paper. What are the coordinates of C' if the photo is enlarged by a dilation of 1.5? (3, 5) (4.5, 5) (3, 7.5) (4.5, 7.5)  T'(15, 22.5) T'(7.5, 9) T'(4.5, 6.75) T'(2.5, 20) 7.6  7.6 1/3 1/2 2/3 3/2 |
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