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Agenda Investigation 8-3 Proving Triangles are Similar Class Work

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Presentation on theme: "Agenda Investigation 8-3 Proving Triangles are Similar Class Work"— Presentation transcript:

1 Agenda Investigation 8-3 Proving Triangles are Similar Class Work
Homework

2 Warm Up 1. State if the following figures are similar
If so, Write the similarity statement. 2. The two triangles are similar. Solve for x.

3 Homework Check

4 Investigation: Triangles with Two Pairs of Congruent Angles
With a partner, complete the Investigation Worksheet. Answer both questions

5 8-3 Proving Triangles are Similar
3 ways to prove Triangles are Similar: AA ~ If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar Similarity Statement:

6 2. SAS ~ If 2 sides of a triangle are proportional to two sides of another triangle AND the included (in between) angles are congruent, then the triangles are similar. Similarity Statement:

7 3. SSS ~ If all 3 corresponding sides of two triangles are proportional, then the triangles are similar Similarity Statement:

8 Indirect Measurement using similar triangles often uses one of these two facts:
Light reflects off a mirror at the same angles at which it hits the mirror. Similar By:

9 2. Similar Triangles are formed by figures and their shadows Similar By:

10 Examples: For each of the following, explain why the triangles are similar and write a similarity statement

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18 Class Work 8-3 Practice in Book Problems 1-9

19 Homework Complete the worksheet


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