Section Name: Constructions Warm-Up Write down what you know about parallel and perpendicular lines. Section Name: Constructions

Constructions Activity You will have 10 minutes to put your construction in order. After 10 minutes you will have time to create your poster.

Section Name: Constructions Notes will be all on your own paper today! Warm-Up Gallery Walk Walk around the classroom and get all the missing parts of the note sheet filled in. When finished, sit quietly until the entire class is done. (you will have 10-15 minutes from time late bell rings) Section Name: Constructions Notes will be all on your own paper today!

_______________ Through a Point What does this construction do?

_______________ of a Triangle What does this construction do?

_________________Construction What does this construction do?

____________________Construction What does this construction do? L M X A B

Bisectors with Algebra 𝐶𝐷 𝑖𝑠 𝑡ℎ𝑒 𝑝𝑒𝑟𝑝𝑒𝑛𝑑𝑖𝑐𝑢𝑙𝑎𝑟 𝑏𝑖𝑠𝑒𝑐𝑡𝑜𝑟 𝑜𝑓 𝐴𝐵 . ∠𝐶𝑂𝐴=4𝑦−2 𝐹𝑖𝑛𝑑 𝑡ℎ𝑒 𝑣𝑎𝑙𝑢𝑒𝑠 𝑜𝑓 𝑥 𝑎𝑛𝑑 𝑦.

Bisectors with Algebra 𝐻𝐹 𝑖𝑠 𝑡ℎ𝑒 𝑎𝑛𝑔𝑙𝑒 𝑏𝑖𝑠𝑒𝑐𝑡𝑜𝑟 𝑜𝑓 ∠𝐺𝐹𝐼. ∠𝐺𝐹𝐻=5𝑥+12 ∠𝐻𝐹𝐼=7𝑥−8 𝐹𝑖𝑛𝑑 𝑡ℎ𝑒 𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 𝑥.

Exit Ticket 𝐶𝐷 𝑖𝑠 𝑡ℎ𝑒 𝑝𝑒𝑟𝑝𝑒𝑛𝑑𝑖𝑐𝑢𝑙𝑎𝑟 𝑏𝑖𝑠𝑒𝑐𝑡𝑜𝑟 𝑜𝑓 𝐴𝐵 . ∠𝐶𝑂𝐴=5𝑦−10 𝐶𝐷 𝑖𝑠 𝑡ℎ𝑒 𝑝𝑒𝑟𝑝𝑒𝑛𝑑𝑖𝑐𝑢𝑙𝑎𝑟 𝑏𝑖𝑠𝑒𝑐𝑡𝑜𝑟 𝑜𝑓 𝐴𝐵 . ∠𝐶𝑂𝐴=5𝑦−10 𝐴𝑂 =2𝑥+10 𝐵𝑂 =7𝑥−35 𝐹𝑖𝑛𝑑 𝑡ℎ𝑒 𝑣𝑎𝑙𝑢𝑒𝑠 𝑜𝑓 𝑥 𝑎𝑛𝑑 𝑦.

Write down what you know about the following constructions. Warm-Up Write down what you know about the following constructions. Altitude Parallel Line through a Point Perpendicular Bisector Angle Bisector Section Name: Parallel and Perpendicular Slope

Review ∠𝐴𝑃𝑀=2𝑥+12

Are the following lines perpendicular or parallel? How do you know?

Slope Conclusions: Parallel Lines: Perpendicular Lines: Intersecting Lines:

Which of the following lines are parallel. What are perpendicular Which of the following lines are parallel? What are perpendicular? What is one pair of intersecting lines? 𝑦= 3 4 𝑥+12 𝑦= 2 5 𝑥+6 𝑦= 3 4 𝑥+9 𝑦= 1 6 𝑥−5 𝑦=−6𝑥+ 23 𝑦=− 3 4 𝑥+9 𝑦=− 2 5 𝑥−3 𝑦=− 1 6 𝑥−5 𝑦=𝑥+9 𝑦=𝑥−4 𝑦=−𝑥+3 𝑦=− 5 2 𝑥+8

Write an equation of a line parallel to the given line. 𝑦=2𝑥+7 𝑦= 1 3 𝑥−2 𝑦=− 3 4 𝑥+6

Write an equation of a line perpendicular to the given line. 𝑦=2𝑥+7 𝑦= 1 3 𝑥−2 𝑦=− 3 4 𝑥+6

Write an equation of a line that intersects the given line. 𝑦=2𝑥+7 𝑦= 1 3 𝑥−2 𝑦=− 3 4 𝑥+6

Exit Ticket 𝑦=−6𝑥+4 Which line is parallel to the given line? How do you know? Which line is perpendicular to the given line? How do you know? Which line intersects the given line? How do you know? OPTIONS: 𝑦= 1 6 𝑥+7 𝑦=−6𝑥−2 𝑦=− 1 6 𝑥+6

Warm-Up Section Name: Review What information would be enough to prove two lines are perpendicular to each other? What information would be enough to prove two lines are parallel? Section Name: Review

Warm-Up Any last minute questions before your test? Section Name: Quiz