EXAMPLE 1 Use the AA Similarity Postulate Determine
![EXAMPLE 1 Use the AA Similarity Postulate Determine whether the triangles are similar. If EXAMPLE 1 Use the AA Similarity Postulate Determine whether the triangles are similar. If](https://slidetodoc.com/presentation_image_h/138d1bb8cb87873184a6197bc6926721/image-1.jpg)
![EXAMPLE 1 Use the AA Similarity Postulate SOLUTION Because they are both right angles, EXAMPLE 1 Use the AA Similarity Postulate SOLUTION Because they are both right angles,](https://slidetodoc.com/presentation_image_h/138d1bb8cb87873184a6197bc6926721/image-2.jpg)
![EXAMPLE 2 Show that triangles are similar Show that the two triangles are similar. EXAMPLE 2 Show that triangles are similar Show that the two triangles are similar.](https://slidetodoc.com/presentation_image_h/138d1bb8cb87873184a6197bc6926721/image-3.jpg)
![EXAMPLE 2 Show that triangles are similar SOLUTION a. You may find it helpful EXAMPLE 2 Show that triangles are similar SOLUTION a. You may find it helpful](https://slidetodoc.com/presentation_image_h/138d1bb8cb87873184a6197bc6926721/image-4.jpg)
![EXAMPLE 2 Show that triangles are similar SOLUTION b. You know SVR UVT by EXAMPLE 2 Show that triangles are similar SOLUTION b. You know SVR UVT by](https://slidetodoc.com/presentation_image_h/138d1bb8cb87873184a6197bc6926721/image-5.jpg)
![GUIDED PRACTICE for Examples 1 and 2 Show that the triangles are similar. Write GUIDED PRACTICE for Examples 1 and 2 Show that the triangles are similar. Write](https://slidetodoc.com/presentation_image_h/138d1bb8cb87873184a6197bc6926721/image-6.jpg)
![GUIDED PRACTICE for Examples 1 and 2 Show that the triangles are similar. Write GUIDED PRACTICE for Examples 1 and 2 Show that the triangles are similar. Write](https://slidetodoc.com/presentation_image_h/138d1bb8cb87873184a6197bc6926721/image-7.jpg)
![GUIDED PRACTICE 3. for Examples 1 and 2 Reasoning Suppose in Example 2, part GUIDED PRACTICE 3. for Examples 1 and 2 Reasoning Suppose in Example 2, part](https://slidetodoc.com/presentation_image_h/138d1bb8cb87873184a6197bc6926721/image-8.jpg)
- Slides: 8
![EXAMPLE 1 Use the AA Similarity Postulate Determine whether the triangles are similar If EXAMPLE 1 Use the AA Similarity Postulate Determine whether the triangles are similar. If](https://slidetodoc.com/presentation_image_h/138d1bb8cb87873184a6197bc6926721/image-1.jpg)
EXAMPLE 1 Use the AA Similarity Postulate Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning.
![EXAMPLE 1 Use the AA Similarity Postulate SOLUTION Because they are both right angles EXAMPLE 1 Use the AA Similarity Postulate SOLUTION Because they are both right angles,](https://slidetodoc.com/presentation_image_h/138d1bb8cb87873184a6197bc6926721/image-2.jpg)
EXAMPLE 1 Use the AA Similarity Postulate SOLUTION Because they are both right angles, congruent. D and G are By the Triangle Sum Theorem, 26° + 90° + m E = 180°, so m E = 64°. Therefore, E and H are congruent. ANSWER So, ∆CDE ~ ∆KGH by the AA Similarity Postulate.
![EXAMPLE 2 Show that triangles are similar Show that the two triangles are similar EXAMPLE 2 Show that triangles are similar Show that the two triangles are similar.](https://slidetodoc.com/presentation_image_h/138d1bb8cb87873184a6197bc6926721/image-3.jpg)
EXAMPLE 2 Show that triangles are similar Show that the two triangles are similar. a. b. ∆ABE and ∆ACD ∆SVR and ∆UVT
![EXAMPLE 2 Show that triangles are similar SOLUTION a You may find it helpful EXAMPLE 2 Show that triangles are similar SOLUTION a. You may find it helpful](https://slidetodoc.com/presentation_image_h/138d1bb8cb87873184a6197bc6926721/image-4.jpg)
EXAMPLE 2 Show that triangles are similar SOLUTION a. You may find it helpful to redraw the triangles separately. Because m ABE and m C both equal 52°, ABE C. By the Reflexive Property, A ANSWER So, ∆ ABE ~ ∆ ACD by the AA Similarity Postulate. A.
![EXAMPLE 2 Show that triangles are similar SOLUTION b You know SVR UVT by EXAMPLE 2 Show that triangles are similar SOLUTION b. You know SVR UVT by](https://slidetodoc.com/presentation_image_h/138d1bb8cb87873184a6197bc6926721/image-5.jpg)
EXAMPLE 2 Show that triangles are similar SOLUTION b. You know SVR UVT by the Vertical Angles Congruence Theorem. The diagram shows RS ||UT so S U by the Alternate Interior Angles Theorem. ANSWER So, ∆SVR ~ ∆UVT by the AA Similarity Postulate.
![GUIDED PRACTICE for Examples 1 and 2 Show that the triangles are similar Write GUIDED PRACTICE for Examples 1 and 2 Show that the triangles are similar. Write](https://slidetodoc.com/presentation_image_h/138d1bb8cb87873184a6197bc6926721/image-6.jpg)
GUIDED PRACTICE for Examples 1 and 2 Show that the triangles are similar. Write a similarity statement. 1. ∆FGH and ∆RQS ANSWER In each triangle all three angles measure 60°, so by the AA similarity postulate, the triangles are similar ∆FGH ~ ∆QRS.
![GUIDED PRACTICE for Examples 1 and 2 Show that the triangles are similar Write GUIDED PRACTICE for Examples 1 and 2 Show that the triangles are similar. Write](https://slidetodoc.com/presentation_image_h/138d1bb8cb87873184a6197bc6926721/image-7.jpg)
GUIDED PRACTICE for Examples 1 and 2 Show that the triangles are similar. Write a similarity statement. 2. ∆CDF and ∆DEF ANSWER Since m CDF = 58° by the Triangle Sum Theorem and m DFE = 90° by the Linear Pair Postulate the two triangles are similar by the AA Similarity Postulate; ∆CDF ~ ∆DEF.
![GUIDED PRACTICE 3 for Examples 1 and 2 Reasoning Suppose in Example 2 part GUIDED PRACTICE 3. for Examples 1 and 2 Reasoning Suppose in Example 2, part](https://slidetodoc.com/presentation_image_h/138d1bb8cb87873184a6197bc6926721/image-8.jpg)
GUIDED PRACTICE 3. for Examples 1 and 2 Reasoning Suppose in Example 2, part (b), SR triangles still be similar? Explain. TU. Could the ANSWER Yes; if S T, the triangles are similar by the AA Similarity Postulate.