Section 8-3 Similar Triangles GEOMETRY. ENTRY TASK – TWO LEVELS Medium/Difficult F.
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Transcript of Section 8-3 Similar Triangles GEOMETRY. ENTRY TASK – TWO LEVELS Medium/Difficult F.
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Section 8-3 Similar TrianglesGEOMETRY
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ENTRY TASK – TWO LEVELS Medium/Difficult
Medium:Given: ACB EDB and ∠ ∠Prove: ΔABC ΔEBDF
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Homework Review
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Short Cuts for Similar TrianglesAAASASSS
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AA Similarity Postulate If two angles of one triangle are congruent to two angles of a second triangle, then the triangles are similar. This means that corresponding angles are
congruent and corresponding sides are proportional!
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SAS Similarity Theorem If an angle of one triangle is congruent to an angle of a second triangle, and the sides that include the two angles are proportional, then the triangles are similar.
This means that corresponding angles are congruent and corresponding sides are proportional!
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SSS Similarity Theorem If the corresponding sides of two triangles are proportional, then the triangles are similar.
This means that corresponding angles are congruent and corresponding sides are proportional!
![Page 8: Section 8-3 Similar Triangles GEOMETRY. ENTRY TASK – TWO LEVELS Medium/Difficult F.](https://reader036.fdocuments.in/reader036/viewer/2022083009/5697bfdb1a28abf838cb0af2/html5/thumbnails/8.jpg)
Example 1• Explain why the triangles are similar and write a similarity
statement. Then find DE.
2418
16 12
10
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Example 2 In the sunny desert a cactus casts a 9 foot shadow. At the same time a 6 foot tall person, standing next to the cactus, casts a 4 foot shadow. How tall is the cactus?
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Example 3 Explain why the triangles are similar and write a similarity statement. Then find the value of x.
9
6
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Example 4 A photograph measuring four inches wide and five inches long is enlarged to make a wall mural. If the mural is 120 inches wide, how long is the mural?
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Example 4 – Proofs Using Triangle Similarity Given: PR = 2NP,
PQ = 2MP Prove:
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Example 5 – Proofs Using Triangle Similarity
Given: and
Prove:
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Homework Page 455 Problems: 7-13, 19, 23, 26