1 / 12

Similar Figures

Similar Figures. Objective: Learn to determine whether figures are similar, to use scale factors and to find missing dimensions in similar figure. Similar Figures. What are Similar Figure?

kaiya
Download Presentation

Similar Figures

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Similar Figures Objective: Learn to determine whether figures are similar, to use scale factors and to find missing dimensions in similar figure.

  2. Similar Figures • What are Similar Figure? Similar figure are figures that have the same shape but not necessarily the same size. The symbol “~” means “is similar to” These are corresponding angles These are corresponding angles

  3. Corresponding Angles • What are Corresponding Angles? Corresponding angles are matching angles of two or more similar figures, in the same position. These are corresponding sides These are corresponding angles

  4. Corresponding Sides • What are Corresponding Sides? Corresponding sides are matching sides of two or more similar figures, in the same position. These are corresponding sides These are corresponding angles

  5. Similar Figures The ratio formed by the corresponding sides is the scale factor

  6. Try This!!! A picture 4 in. tall and 9 in. wide is to be scaled to 2.5 in. tall to be displayed on a Web page. How wide should the picture be on the Web page for the two pictures to be similar? To find the scale factor, divide the known height of the scaled picture by the corresponding height of the original picture Then multiply the width of the original picture by the scale factor The picture should be 5.625 in. wide.

  7. Try This!!! A company’s logo is in the shape of an isosceles triangle with two sides that are 2.4 in. long and one side that is 1.8 in. long. On billboard, the triangle in the logo has two sides that each 8 ft. long. What is the length of the third side of the triangle on the billboard? Write the proportion Find the cross product in (ft) on both sides cancel Solve for x The third side of the triangle is 6 ft long

  8. AB and XY BC and YZ AC and XZ Remember! Remember! The following are matching, or corresponding: A and X A X Y Z C B B and Y C and Z

  9. Try This!!! Which rectangles are similar? Since the three figures are rectangles all the angles are right angles. C B A Compare the ratios of corresponding sides to see if they are equal. The ratios are not equal. Rectangle A is not similar to rectangle B The ratios are equal. Rectangle A is similar to rectangle C or A~C

  10. Example 1:

  11. Example 2:

  12. Example 3:

More Related