Ext 6-8 Sampler

Skill Builders Skill Builders provide extra practice forall objectives. 52 Grade8 ©MathTeachersPress, Inc. Reproduction only for one teacher for one class. Name____________________________________ Skill Builders 32-5 Dilations A dilation is a transformation that enlarges or reduces a figure to a similar figure by using a given scale factor. Rectangle ABCD is to be dilated by using the rule ( x , y ) ↔ (2 x , 2 y ). y x 0 A B D C – 6 –4 –2 –2 –4 –6 6 4 2 2 4 6 y x 0 A' D' B' C' –2 –4 –6 6 4 2 2 4 6 8 10 –10 –8 – 6 –4 –2 y x 0 A B C –2 –4 –6 6 4 2 2 4 6 8 10 –10 –8 – 6 –4 –2 y x 0 –2 –4 –6 6 4 2 2 4 6 8 10 –10 –8 – 6 –4 –2 1. Dilate ABC by a factor of to create A'B'C'. Identify the coordinates of each point. 2. A'B'C is congruent to ABC. _______________ 3. A dilation preserves the size of the original image. _______________ A ( , ) B ( , ) C ( , ) A' ( , ) B' ( , ) C' ( , ) The coordinates of Point A' should be double the coordinates of Point A. A ( – 3, 2) ↔ A' ( – 6, 4) A ( – 3, 2) B (4, 2) C ( – 3, – 2) D (4, – 2) A' ( – 6, 4) B' ( , ) C' ( , ) D' ( , ) True or False. 8.G.4 5.NF.1, 5.NF.2 ©MathTeachersPress, Inc. Reproductiononly for one teacher for one class. Name____________________________________ Skill Builders 46-2 The enlarged painting is similar to the small painting. What is the length of themissing side? 2__ 3 = 8 __ n 2 n = 24 n = 12 in. The figures are similar. Use a proportion to find themissing lengths. 1. n = _______________ 3. n = _______________ 5. A person 6 ft. tall casts a 4 ft. shadow at the same time that a flagpole casts a 12 ft. shadow. How tall is the flagpole? __________ 7. The ratio of two numbers is 3 to 5. If the larger number is 20, what is the smaller number? __________ 2. n = _______________ 4. n = _______________ 6. A building casts a 40 ft. shadow at the same time that a vertical yardstick casts a shadow of 2 ft. How tall is the building? __________ 8. The ratio of the sides of two triangles are 1 to 3. The shortest side of the smaller triangle is 5. Find the length of the shortest side of the larger triangle. __________ n 6 9 12 8 10 n 12 4 8 6 n 3 7 n 14 Proportions inSimilar Figures Figures with the same shape but different size are called similar shapes. The corresponding parts of similar figures form a proportion. Use a proportion to find themissing side. 3 in. ? in. 8 in. 2 in. 8.G.4 Correlations toCCSS, CCSS-CA, or TEKSare shownat bottom of eachSkill Builder page in thematchingTeacherManual.