5 7 Using Congruent Triangles Using Congruent Triangles
![5. 7 Using Congruent Triangles 5. 7 Using Congruent Triangles](https://slidetodoc.com/presentation_image_h2/bea721729ed55cf6a70e068286355fbf/image-1.jpg)
![Using Congruent Triangles Congruent triangles have congruent corresponding parts. So, if you can prove Using Congruent Triangles Congruent triangles have congruent corresponding parts. So, if you can prove](https://slidetodoc.com/presentation_image_h2/bea721729ed55cf6a70e068286355fbf/image-2.jpg)
![Example 1: Using Congruent Triangles Explain how you can use the given information to Example 1: Using Congruent Triangles Explain how you can use the given information to](https://slidetodoc.com/presentation_image_h2/bea721729ed55cf6a70e068286355fbf/image-3.jpg)
![Example 1 Continued Prove At this point we know: • • • We also Example 1 Continued Prove At this point we know: • • • We also](https://slidetodoc.com/presentation_image_h2/bea721729ed55cf6a70e068286355fbf/image-4.jpg)
![You try! 1. )Explain how you can prove All three pairs of sides are You try! 1. )Explain how you can prove All three pairs of sides are](https://slidetodoc.com/presentation_image_h2/bea721729ed55cf6a70e068286355fbf/image-5.jpg)
![Example 2: Using Congruent Triangles for Measurement Use the following method to find the Example 2: Using Congruent Triangles for Measurement Use the following method to find the](https://slidetodoc.com/presentation_image_h2/bea721729ed55cf6a70e068286355fbf/image-6.jpg)
![Example 2 Continued So, what you have created looks Like the figure to the Example 2 Continued So, what you have created looks Like the figure to the](https://slidetodoc.com/presentation_image_h2/bea721729ed55cf6a70e068286355fbf/image-7.jpg)
![Example 3: Planning a Proof Involving Pairs of Triangles Use the given information to Example 3: Planning a Proof Involving Pairs of Triangles Use the given information to](https://slidetodoc.com/presentation_image_h2/bea721729ed55cf6a70e068286355fbf/image-8.jpg)
![You try! 2. ) You try! 2. )](https://slidetodoc.com/presentation_image_h2/bea721729ed55cf6a70e068286355fbf/image-9.jpg)
- Slides: 9
![5 7 Using Congruent Triangles 5. 7 Using Congruent Triangles](https://slidetodoc.com/presentation_image_h2/bea721729ed55cf6a70e068286355fbf/image-1.jpg)
5. 7 Using Congruent Triangles
![Using Congruent Triangles Congruent triangles have congruent corresponding parts So if you can prove Using Congruent Triangles Congruent triangles have congruent corresponding parts. So, if you can prove](https://slidetodoc.com/presentation_image_h2/bea721729ed55cf6a70e068286355fbf/image-2.jpg)
Using Congruent Triangles Congruent triangles have congruent corresponding parts. So, if you can prove the two triangles are congruent then you know their corresponding parts must be congruent as well.
![Example 1 Using Congruent Triangles Explain how you can use the given information to Example 1: Using Congruent Triangles Explain how you can use the given information to](https://slidetodoc.com/presentation_image_h2/bea721729ed55cf6a70e068286355fbf/image-3.jpg)
Example 1: Using Congruent Triangles Explain how you can use the given information to prove that the hang glider parts are congruent. Since <RQT and <RST are supplementary to congruent angles, then <RQT must be congruent to <RST.
![Example 1 Continued Prove At this point we know We also Example 1 Continued Prove At this point we know: • • • We also](https://slidetodoc.com/presentation_image_h2/bea721729ed55cf6a70e068286355fbf/image-4.jpg)
Example 1 Continued Prove At this point we know: • • • We also know Congruence by Reflexive Property of Since two angles and a non-included side are congruent by the AAS Congruence Theorem. ØBecause corresponding parts of congruent triangles are congruent, .
![You try 1 Explain how you can prove All three pairs of sides are You try! 1. )Explain how you can prove All three pairs of sides are](https://slidetodoc.com/presentation_image_h2/bea721729ed55cf6a70e068286355fbf/image-5.jpg)
You try! 1. )Explain how you can prove All three pairs of sides are congruent. So, by the SSS Congruence Theorem. Because corresponding parts of congruent triangles are congruent, . .
![Example 2 Using Congruent Triangles for Measurement Use the following method to find the Example 2: Using Congruent Triangles for Measurement Use the following method to find the](https://slidetodoc.com/presentation_image_h2/bea721729ed55cf6a70e068286355fbf/image-6.jpg)
Example 2: Using Congruent Triangles for Measurement Use the following method to find the distance across a river, from point N to point P. • Place a stake at K on the near side so that • Find M, the midpoint of • Locate the point L so that and L, P and M are collinear.
![Example 2 Continued So what you have created looks Like the figure to the Example 2 Continued So, what you have created looks Like the figure to the](https://slidetodoc.com/presentation_image_h2/bea721729ed55cf6a70e068286355fbf/image-7.jpg)
Example 2 Continued So, what you have created looks Like the figure to the right. Explain how this plan allows you to find the distance across the river? ( )
![Example 3 Planning a Proof Involving Pairs of Triangles Use the given information to Example 3: Planning a Proof Involving Pairs of Triangles Use the given information to](https://slidetodoc.com/presentation_image_h2/bea721729ed55cf6a70e068286355fbf/image-8.jpg)
Example 3: Planning a Proof Involving Pairs of Triangles Use the given information to write a plan for a proof.
![You try 2 You try! 2. )](https://slidetodoc.com/presentation_image_h2/bea721729ed55cf6a70e068286355fbf/image-9.jpg)
You try! 2. )
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