Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS...
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Transcript of Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS...
![Page 1: Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS similarity tests for triangles.](https://reader036.fdocuments.us/reader036/viewer/2022082818/56649e875503460f94b8a295/html5/thumbnails/1.jpg)
Applied Geometry
Lesson: 9 – 3
Similar Triangles
Objective: Learn to use AA, SSS, and SAS similarity tests for triangles.
![Page 2: Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS similarity tests for triangles.](https://reader036.fdocuments.us/reader036/viewer/2022082818/56649e875503460f94b8a295/html5/thumbnails/2.jpg)
ReviewCongruent TrianglesTriangles whose sides and angles are
congruent.
Tests for congruenceSSSSASASAAAS
New – Tests for similarity
![Page 3: Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS similarity tests for triangles.](https://reader036.fdocuments.us/reader036/viewer/2022082818/56649e875503460f94b8a295/html5/thumbnails/3.jpg)
AA Similarity If two angles of one triangle are congruent to two corresponding angles of another triangle, then the triangles are similar.
![Page 4: Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS similarity tests for triangles.](https://reader036.fdocuments.us/reader036/viewer/2022082818/56649e875503460f94b8a295/html5/thumbnails/4.jpg)
SSS similarityIf the measures of the sides of a triangle are proportional to the measures of the corresponding sides of another triangle, then the triangles are similar.
![Page 5: Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS similarity tests for triangles.](https://reader036.fdocuments.us/reader036/viewer/2022082818/56649e875503460f94b8a295/html5/thumbnails/5.jpg)
SAS SimilarityIf the measures of two sides of a triangle are proportional to the measures of two corresponding sides of another triangle and their included angles are congruent, then the triangles are similar.
![Page 6: Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS similarity tests for triangles.](https://reader036.fdocuments.us/reader036/viewer/2022082818/56649e875503460f94b8a295/html5/thumbnails/6.jpg)
Determine whether the triangles are similar. If so, tell which similarity test is
used and complete the statement.
21
14
15
10
9
6
JMP SSS similarity
![Page 7: Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS similarity tests for triangles.](https://reader036.fdocuments.us/reader036/viewer/2022082818/56649e875503460f94b8a295/html5/thumbnails/7.jpg)
Determine whether the triangles are similar. If so, tell which similarity test is
used and complete the statement.
Not similar since SSS, SAS, or AA similarity tests prove true.
![Page 8: Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS similarity tests for triangles.](https://reader036.fdocuments.us/reader036/viewer/2022082818/56649e875503460f94b8a295/html5/thumbnails/8.jpg)
Determine whether the triangles are similar. If so, tell which similarity test is
used and complete the statement.
Not similar since sides are not proportional.
![Page 9: Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS similarity tests for triangles.](https://reader036.fdocuments.us/reader036/viewer/2022082818/56649e875503460f94b8a295/html5/thumbnails/9.jpg)
Find the value of x.
3
9
5x
453 x15x
![Page 10: Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS similarity tests for triangles.](https://reader036.fdocuments.us/reader036/viewer/2022082818/56649e875503460f94b8a295/html5/thumbnails/10.jpg)
Find the values of x & y
15
512
xx5180 x36
15
513
yy5195 y39
![Page 11: Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS similarity tests for triangles.](https://reader036.fdocuments.us/reader036/viewer/2022082818/56649e875503460f94b8a295/html5/thumbnails/11.jpg)
x
2
5.1
4.0
object
shadow
object
shadow
34.0 x5.7x
Flag pole is 7.5 meters tall.
![Page 12: Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS similarity tests for triangles.](https://reader036.fdocuments.us/reader036/viewer/2022082818/56649e875503460f94b8a295/html5/thumbnails/12.jpg)
Homework
Pg. 365 1 – 5 all, 6 – 22 E