PPT-I can use proportions to find missing measures in similar f

74 Similar Figures Vocabulary corresponding sides corresponding angles similar Matching sides of two or more polygons are called corresponding sides and matching angles are called corresponding angles. What are similar polygons?. Two polygons are similar if corresponding (matching) angles are congruent and the lengths of corresponding sides are proportional.. Congruent Figures. In order to be congruent, two figures must be the same size and same shape.. Course 1. Warm Up. Lesson Presentation. Problem of the Day. Warm Up. Fill in the missing value.. 1.. . c = 2 qt. 2.. 180 in. = yd. 3.. 3 tons = lb. 4.. min = 2,760 s. . 8. 5. 6,000. Proportions. What are proportions?. - If two ratios are equal, they form a proportion. Proportions can be used in geometry when working with similar figures.. What do we mean by similar?. - Similar describes things which have the same shape but are not the same size.. What are similar polygons?. Two polygons are similar if corresponding (matching) angles are congruent and the lengths of corresponding sides are proportional.. Congruent Figures. In order to be congruent, two figures must be the same size and same shape.. (Not exactly the same, but pretty close!). A dilation is when you create a similar figure that is . larger or smaller . than the original figure. Each side is multiplied by the same scale factor, so the new dilated shape is proportional to the original.. (Not exactly the same, but pretty close!). Let’s do a little review work before discussing similar figures.. Congruent Figures. In order to be congruent, two figures must be the same size and same shape.. Ratios. Comparison of two items/objects. Written one of 3 ways. As a fraction. With : (colon). . using word “to”. When writing a ratio. First thing you talk about is the numerator. Second thing you talk about is the denominator. Section 2-8. Goals. Goal. To find missing lengths in similar figures.. To use similar figures when measuring indirectly.. Rubric. Level 1 – Know the goals.. Level 2 – Fully understand the goals.. Difference Between Proportions. Sometimes we want to see if there is a significant difference between independent groups.. Control group vs. treatment group or placebo group. Men vs. women. Last year vs. this year. Proportion – Learning Outcomes Express quantities as proportions of each other using fractions, decimals, ratios, and percentages. Divide quantities into a given proportion. Express errors as a proportion. Similar Figures Similar Similar figures have the same shape, but not necessarily the same size. Similar Polygons 14 m 7m 60° 60° The ratio formed by the sides is the scale factor : 14m = 2m Proportions and Similar Figures What is Similarity? Not Similar Similar Similar Not Similar Similar Triangles Similar Figures Figures that have the same shape but not necessarily the same size are Which ratio would we use to find the missing length? How do you know? Which ratio would we use to find the missing length? How do you know? opp adj hyp Angle known Adjacent known Opposite required In your book… Discuss: Which ratio would we use to find the missing angle? How do you know? 10 cm 8.5 cm   Which ratio would we use to find the missing angle? How do you know? hyp opp adj Hypotenuse known Opposite known