Secondary Math 2 8.3/8.4 – Similarity

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Presentation transcript:

Secondary Math 2 8.3/8.4 – Similarity To change the image on this slide, select the picture and delete it. Then click the Pictures icon in the placeholder to insert your own image. 8.3/8.4 – Similarity

Warm - UP List the 4 ways to prove triangles congruent Are the triangles below congruent? If so, how do you know? If they are congruent, write a congruence statement.

Turn in 8.1 Questions 8.2 – Triangle Congruence

What you will learn I will be able to determine if two shapes are similar. I will be able to determine the scale factor between to similar shapes.

Similarity Same Shape DIFFERENT SIZE (dilated) Proportions

Triangle Similarity Shortcuts - PPP 3 pairs of proportional sides E F D 4 9.6 10.4 A B C 5 12 13

Triangle Similarity Shortcuts - PAP 2 pairs of proportional sides and congruent angles between them G H I 5 7 70 L J K 7.5 10.5 70

Triangle Similarity Shortcuts - AA 2 pairs of congruent angles Q P R 70 50 M N O 70 50 Why does AA work?

Practice! Are they similar?

Scale Factor

Calculating Scale Factor (smaller to bigger) Find two corresponding sides, and write the ratio of the two sides.

More Scale Factor (smaller to bigger) 14.

Solve for x. 1. 2. 3. 4.

Solving Similar Polygon Problems Proportional Statements: 5 4 = 12 9.6 = 13 10.4 E F D 4 9.6 10.4 A B C 5 12 13

More Proportions practice! 17. 22.