Video Transcript
In this situation, they give us a series of lines and they want to know to identify they want to identify the segments that are parallel in this situation. Now they tell us that angle, d, c b, w should locate so angle d c, which is going to be d c b. This angle is equal to angle c d, a which is as drawin green c d. Now that doesn't make too much sense. So, let's verify that d c, b and angle c d- a and they say are- are supplementary, so supplementary means that they add 180 point if they act to 180 point. That would what that tells us is that these 2 lines are parallel. This line is: let's do it with a little arrow to indicate parallel. This line is parallel with this line, and this line is parallel with this line, because that's what the theorem tells us 2 angles between a group of lines that are that are supplementary, that ad to und 80 point that those are between parallel lines. So now that we know that these lines are parallel, we can see that where we have here is a situation where we have a parallelogram. So if we have a parallelogram, then the segment dc, let's mark those segments d, is going to be parallel to a b. So, let's find which 1 option is that d c is to a b this 1 right here. This will be 1 answer, but there is also another pair. This pair, a d is parallel to b c, so a d is parallel to r c b. You can call it t b, so both of those situations are correct. We can check the error situations to see if they are, they comply a c which is this line here, parallel to cr. Well, that is not true and the other 1 b, a which is this line in the bottom b, a with c a which is this diagonal here. So those are not parallel, so the parallels are the ones we marked and that will be the answer to this question.
Priority Standard: Make formal geometric constructions with a variety of tools and methods
1. I can identify and use the properties of midsegments in triangles to find unknown measures.
2. I can identify and use the properties of
perpendicular bisectors (circumcenter) in triangles to find unknown
measures.
3. I can identify and use the properties angles bisectors (incenter) in triangles to find unknown measures.
4. I can identify and use the properties medians (centroid) in triangles to find unknown measures.
5. I can identify the altitudes (orthocenter) in
triangles.
6. I can use the relationships between sides and angles in triangles to find unknown measures.
7. I can use inequalities to make comparisons in two triangles
Unit 5: Relationships within Triangles Resources
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Unit 5- Relationships within Triangles Note Packet: Blank Copy
Unit 5- Section #1: Midsegment Theorem (pg. 2-3)
Midsegment Theorem Lesson: Guided Notes
Lesson Videos:
Midsegment Theorem and Examples #1-2
Examples #3-5
Unit 5- Worksheet #1: Midsegments Worksheet
Unit 5- Worksheet #1: Answer Key
Unit 5- Section #2: Use Perpendicular Bisectors of Triangles (pg. 4-6)
Use Perpendicular Bisectors of Triangles Lesson: Guided Notes
Lesson Videos:
Use Perpendicular Bisectors of Triangles: Video
Unit 5- Worksheet #2: Perpendicular Bisector Worksheet
Unit 5- Worksheet #2: Answer Key
Unit 5- Section #3: Use Angle Bisectors of Triangles (pg. 6-8)
Use Angle Bisectors of Triangles Lesson: Guided Notes
Lesson Videos:
Use Angle Bisectors of Triangles: Video
Unit 5- Worksheet #3: Angle Bisector Worksheet
Unit 5- Worksheet #3: Answer Key
Unit 5- Section #4: Use Medians and Altitudes (pg. 8-10)
Use Medians and Altitudes Lesson: Guided Notes
Lesson Videos:
Use Medians and Altitudes: Video
Unit 5- Worksheet #4: Medians and Altitudes
Unit 5- Worksheet #4: Answer Key
Unit 5- Section #5: Use
Inequalities in Triangles (pg. 11-12)
Use Inequalities in Triangles Lesson: Guided Notes
Lesson Videos:
Use Inequalities in Triangles and The Hinge Theorem: Video
Unit 5- Worksheet #5:Use Inequalities in Triangles and Hinge Theorem
Unit 5- Worksheet #5: Answer Key
Unit 5- Section #6: The Hinge Theorem (pg. 12-13)
The Hinge Theorem Lesson: Guided
Notes
Lesson Videos:
Use Inequalities in Triangles and The Hinge Theorem: Video
Unit 5- Worksheet #5:Use Inequalities
in Triangles and Hinge Theorem
Unit 5- Worksheet #5: Answer Key
Unit 5- Review Material
Unit 5- Relationships in Triangles:
Assessment Review
Unit 5- Relationships in Triangles Assessment Review: Answer Key