### Geometry Activity: Exploring Angles with Parallel Lines and a TransversalBased on the notes and slides you have read, try to answer the following questions in your own words as best as you can.#### a) Given two **parallel lines cut by a transversal line**, explain why:- **Corresponding angles are always congruent**- **Alternate interior angles are always congruent**- **Same-side interior angles are always supplementary**#### b) Do the relationships in part (a) hold if the two lines are NOT parallel? Why or why not?---**Note for Educators:**Part of being a teacher is to not only know the rules and concepts but to be able to explain, articulate, and demonstrate why they are true. This can be very difficult sometimes. Don’t worry about your answer being perfect; just think about how you can explain this to young elementary-aged children.

Answered: Image /qna-images/answer/4295c446-bf20-45d2-b77c-ebfe606e74eb.jpg

Answered: Based on the notes and slides you read…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Sally has marked a straight-line track for her pet turtle on her sidewalk. On Monday, her turtle walked yard from the track's starting line, and Sally marked the turtle's stopping point with an M. On Tuesday, her turtle walked yard in the same direction from the starting line, and Sally marked the stopping point with a T. Part A What is the distance from point M to point T along the track? 많 yard 막 yard 맥 yard O yards Part B On Wednesday, Sally's turtle walked from the starting line all the way to point T and then back to point M. How far did her turtle walk altogether on Wednesday? O yard yard 명 yard 매 yard
1. Complete the following statement using your knowledge of parallelograms: "A square is rectangle is a rectangle, but a a square." A. always; always B. always; sometimes C. sometimes; sometimes D. sometimes; never
The diagram represents a portion of a small city. Maple Street and Pine Street run exactly east to west. Oak Avenue runs exactly north to south. All of the streets remain straight. Maple St. Pine St. Elm St. Birch St. Which statement must be false, based only on the given information? Maple Street and Pine Street are parallel. If more of the map is shown, Elm Street and Oak Avenue will not intersect. Oak Avenue and Maple Street are perpendicular. Pine Street intersects both Birch Street and Elm Street.
10. While flying, a helicopter pilot Water Tower 4.8 km spots a water tower that is 7.0 km 4.8 km away to the north. At 5.6 km the same time, Monument she also sees a monument that is 5.6 km away to the south. The tower and the monument are separated by a distance of 7.0 km along the flat ground. Find the angles at which the pilot is viewing the water tower and the monument, to the nearest degree.
Refer to your pictures and pick one pair that you believe are congruent and one pair that you believe are similar based on the copies you have made on the coordinate plane. Using a protractor and a ruler, prove that the pair is congruent and the other pair is similar. Remember, you will need to use the side lengths and the angles measures. Make sure to include the scale factor between your two similar shapes. Which pictures did you decide were congruent? Provide all of your information and copies of your pictures to prove they are congruent. Which pictures did you decide were similar? Provide all of your information and copies of your pictures to prove they are similar. Attach all your evidence.

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