Students will identify corresponding parts of figures and use the definition of similar figures to solve real-world applications involving rectangles and triangles.

• Students will identify corresponding parts of similar figures.
• Students will apply what they know about similar figures to solve real-world design problems.

• similar
• corresponding parts  

In this lesson, students use similar figures to solve real-world applications. In Problem 1, students use similar rectangles to enlarge a photo. In Problem 2, students use similar triangles to estimate the height of a building.

As a result, students will:

• Use the definition of similarity to decide if two figures are similar.
• Model with geometry and apply the principle of similar figures to solve design problems.
• Explain the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.