Calculations involving similar shapes.
To understand when shapes are similar.
To be able to calculate missing values from similar shapes.
Two figures that have the same shape are said to be similar.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
similar
Two polygons are similar if their corresponding sides are proportional.
If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles shown are similar, compare their corresponding sides. Are these ratios equal?
SF = 6 ÷ 3 = 2
b) Now we have the scale factor, we can apply it to the corresponding length to BE which is BC. Hence, we find that,
AC = 4.4 × 2 = 8.8cm
Worksheet to be completed in class attached.
http://webbapp.liber.se/matematikboken-z/#
http://webbapp.liber.se/matematikboken-z/#/3-geometri
Textbook work:
Ett pg. 115. no. 3019, 3020
Två pg. 116 no. 3023 ab, 3024, 3025
Tre pg. 117 no. 3027 abc, 3028, 3029, 3030
Fyra pg. 118 no. 3032 abc, 3033, 3034, 3035