Similar Figures and Proportions

Learn about similar figures and proportions!

Similar Figures By the end of this lesson you should be able to :-Determine if a shape is similar or proportional-Use proportions to identify similar polygons-Solve problems using the properties of similar polygons-Use properties of similar figures to solve for a missing side-Use properties of similar figures in a word problem to solve for a missing side -Congruent Polygon-Similar Polygon-Ratio-Proportion-Corresponding Sides In your own words, define each of the following terms: Fill in the blanks for the statements below A pair of shapes are congruent if the two shapes are have the same corresponding angles, and the same sides. The sides and angles are a good identifier of congruency. Fill in the blank for the following statement A pair of shapes are similar ifthe two shapes have the same angles, but have different sides. The length of the sides are a good identifier of similarity. Similar or Congruent? Circle the pair of angles below that are SIMILAR to one another Similar or Congruent? Circle the pair of angles below that are CONGRUENT to one another Fill in the blanks for the statements below If you are given two figures that are similar to one another, the sides are proportional to one another. This means the sides are always in the same ratio. Which of the following terms is another word for corresponding? similar congruent matching proportion none of the above Choose the answer choice that is the best solution to the problem below. 25 9 7 90 None of the above A rectangle has a width of 4 feet and a length of 14 feet. What is the lentgh of a similar triangle with a width of 9 feet? 126 31.5 2.5 1.9 None of the above The sail shown below has a horizontal stripe parallel to the base of the sail. What is the distance, x, from the bottom of the sail to the stripe? 25 15 5.8 4 None of the above