Lesson 2.3.6: SAS and sss Criteria for similarity |
For this lesson there are 15 steps for you to take. Scroll down and do each step one-by-one. The instructions under each step will help clarify exactly what you need to do, so please read all the instructions.
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Here is the Lesson 2.3.6 Worksheet
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1.) Start Notes: Targets
Title your notes and write the targets listed below.
Title your notes and write the targets listed below.
- I can use the Side-Side-Side similarity shortcut to determine whether triangles are similar.
- I can use the Side-Angle-Side similarity shortcut to determine whether triangles are similar.
3.) Video: Warm Up
Watch this video to see how I worked through the Warm Up and what I discovered. |
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4.) Notes: SSS Similarity Shortcut
Copy this definition into your notes:
The side-side-side criterion for two triangles to be similar is as follows:
When all three pairs of corresponding sides are in proportion, we can conclude that the triangles are similar by side-side-side criterion. We can use the SSS criterion to determine if a pair of triangles are similar.
SSS Similarity Shortcut: If all three corresponding sides of two triangles are proportional, then the two triangles are similar.
Copy this definition into your notes:
The side-side-side criterion for two triangles to be similar is as follows:
When all three pairs of corresponding sides are in proportion, we can conclude that the triangles are similar by side-side-side criterion. We can use the SSS criterion to determine if a pair of triangles are similar.
SSS Similarity Shortcut: If all three corresponding sides of two triangles are proportional, then the two triangles are similar.
6.) Video: Explore SAS Criteria
Watch this video to see what I discovered about SAS. |
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7.) Notes: SAS Similarity Shortcut
Read through this description. Then copy the statement in bold into your notes.
The side-angle-side criterion for two triangles to be similar is as follows:
Two triangles are similar if they have one pair of corresponding angles that are congruent and the sides adjacent to that angle are proportional. We refer to the angle between the two sides as the included angle. Or we can say the sides are adjacent to the given angle. When the side lengths adjacent to the angle are in proportion, then we can conclude that the triangles are similar by the side-angle-side criterion. We can use the SAS criterion to determine if a pair of triangles are similar.
SAS Similarity Shortcut: If two triangles have two corresponding sides that are proportional AND the included angles are congruent, then the two triangles are similar.
Read through this description. Then copy the statement in bold into your notes.
The side-angle-side criterion for two triangles to be similar is as follows:
Two triangles are similar if they have one pair of corresponding angles that are congruent and the sides adjacent to that angle are proportional. We refer to the angle between the two sides as the included angle. Or we can say the sides are adjacent to the given angle. When the side lengths adjacent to the angle are in proportion, then we can conclude that the triangles are similar by the side-angle-side criterion. We can use the SAS criterion to determine if a pair of triangles are similar.
SAS Similarity Shortcut: If two triangles have two corresponding sides that are proportional AND the included angles are congruent, then the two triangles are similar.
9.) Video: Practice 1
and 2 Watch this video to see how I worked through Practice 1 and 2. |
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11.) Video: Practice 3
and 4 Watch this video to see how I decided whether the triangles were similar or not. |
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13.) Video: Practice 5
and 6 Watch this video to see how I decided whether the triangles in Practice 5 and 6 were similar or not. |
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