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Unit 3A

Parallel and Perpendicular Lines

Notes, Classwork, and Homework

Math 1A

Fall 2016

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Contents Unit 3A Day 1: Parallel & Perpendicular Lines ................................ 3

Unit 3A Days 2 & 3: Parallel & Perpendicular Lines ........................ 9

Unit 3A Day 4: Pythagorean Theorem & Converse ....................... 14

Homework Day 4 ........................................................................ 17

Unit 3A Day 5: Distance & Perimeter of a Figure .......................... 18

Homework Day 5 ........................................................................ 21

Unit 3A Day 6: Area of a Figure ..................................................... 22

Practice: Find the Area of the figures ........................................ 23

Practice/Homework Day 6 .......................................................... 24

Unit 3A Day 7: Midpoint & Project Day ........................................ 25

Practice: Use the graphs if necessary ......................................... 26

Homework Day 6 ........................................................................ 27

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Unit 3A Day 1: Parallel & Perpendicular Lines

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Unit 3A Days 2 & 3: Parallel & Perpendicular Lines

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Unit 3A Day 4: Pythagorean Theorem & Converse

Right Triangle:_______________________________________

Formula: _____________________

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Homework Day 4 Find the 3rd side of each right triangle (if needed, round to the nearest thousandth place)

1.) 2.) 3.)

Determine if the following are right triangles:

4.) 5.) 6.)

Use the Pythagorean Theorem to solve these problems:

7.) A helicopter rose vertically 300 miles and then flew west 400 miles. How far away is the helicopter

from its starting point?

8.) Anna was flying her kite and used all of the 50 foot string. She noticed that her kite was directly

above her friend Emily. If Anna is 35 feet away from Emily, how far is the kite above Emily?

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Unit 3A Day 5: Distance & Perimeter of a Figure

You Try! Find the distance using the Pythagorean Theorem.

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1.) 2.)

Practice:

1.) 2.) 3.)

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Final Exam Practice!

EOC Question 6:

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Homework Day 5

1.) Find the perimeter of the figure:

3.) 3.) 4.) 2.) 3.)

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Unit 3A Day 6: Area of a Figure

Find the Area of the Figures:

Irregular Figures:

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Practice: Find the Area of the figures

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Practice/Homework Day 6

1.) Find the area of the figure:

2.) Two joggers run 11 miles north and then 7 miles west. What is the shortest distance, to

the nearest hundredth of a mile, they must travel to return to their starting point?

3.) Find the distance between these two points: (4, 7) and (1, -6)

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Unit 3A Day 7: Midpoint & Project Day

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Midpoint Formula:

Practice: Use the graphs if necessary

a.) Find the midpoint of the segment connecting the points (6,4)

and (3,-4).

b.) Find the midpoint of the segment connecting the points (a,b)

and (3a,c).

c.) M is the midpoint of

. The coordinates of A are (-2,3) and the coordinates of M are

(1,0). Find the coordinates of B.

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Homework Day 6