Mathematics
Mathematics, 21.09.2021 16:10, devbar3416

Journal; 1.8.4, geometry 2. Looking at the Consecutive Interior Angles (9 points)

Look at the diagram of the scenario below. A steep downhill ski slope is intersected at an angle by a less steep ski slope. Safety fences need to be set up in the locations shown. The angles of the fences, angles 1 and 2, can be determined by finding the relationship between the angles a and b.

Draw a geometric diagram of this scenario using two parallel lines and one transversal. (Remember that a transversal is a line which cuts across parallel lines.) Label the angles, parallel lines, and transversal as indicated in the diagram above. (2 points)

Starting with the fact that angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, use a two column proof to prove that consecutive interior angles a and b are supplementary. (5 points)
Statement Reason

Explain what the result of your proof tells you about angles a and b. Specifically, if you measured one angle, what would you know about the other? (2 points)

3. The Exterior Angles (6 points)

The fences will be aligned with the exterior angles ∠1 and ∠2. What are some other relationships you can see between ∠1, ∠2, ∠a, and ∠b? (2 points)

Which of the relationships you listed above will be the most helpful in figuring out the measurements of the safety fences? (2 points)

What is the measure of ∠2? (2 points)

4. Reflections (2 points: 1 point each)
Can you think of any other real-life scenarios where parallel lines and transversals exist?

What are the limitations of the ski slope scenario as a real-life example?

answer
Answers: 3

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 18:30, 2024daisjavien
For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.
Answers: 1
image
Mathematics, 21.06.2019 21:00, blaqsafire404
Timmy uses 1 1 2 cups of sugar for every 2 gallons of lemonade he makes. how many cups of sugar would timmy use if he makes 13 gallons of lemonade?
Answers: 1
image
Mathematics, 21.06.2019 22:40, gabby1274
What rotation was applied to triangle def to create d’e’f’?
Answers: 2
image
Mathematics, 22.06.2019 00:10, ruddymorales1123
Me i need ! find the asymptote and determine the end behavior of the function from the graph. the asymptote of the function is= blank 1 . for very high x-values, y =blank 2 options for blank 1 x=2 x=-2 x=3 x=-3 blank 2 options moves towards negative infinity moves toward the horizontal asymptote moves toward the vertical asymptote moves toward positive infinity
Answers: 1
Do you know the correct answer?
Journal; 1.8.4, geometry 2. Looking at the Consecutive Interior Angles (9 points)

Look...

Questions in other subjects: