Math 10-3

Unit 5 Angles and Parallel Lines

Lesson 52 Angle Bisectors and Perpendicular Lines

Formula page

I expect that you will be able to use a formula page for this class,  but that will be determined by your teacher.

Your teacher may have a formula page they expect you to use.

Below is a link to the formula page I will use (at least for now!) when I’m doing questions for this class.

This may change, depending on feedback from your teacher.

I encourage you to download this page and print it so you have it handy when you are doing math.

LINK
https://drive.google.com/open?id=1EMauePx-P6WrtTIcd7-AtNnmJt8zqXpI

Explore the Math Pages 187 - 188

Read/Work through this section of your textbook.
These ideas will be developed in the examples

Your teacher will let you know which pages you need to do for this lesson.

Example 1 Pages 188 - 190

Read the example problem and try to answer the question YOURSELF if you can.
Use the textbook solution or the Video Tutorial if you need help.

The most practical way to do this is with a protractor.
This is the first solution given.

Some other alternates are also given.

You will need to find out from your teacher if the “compass and straight-edge” method is something you need to know.

Build Your Skills Pages 192 - 195

These questions all come from your textbook.

If you need extra practice or want to maintain your skills,  see the NEXT section for more practice questions.

Doing Practice Problems

The problems in this section reinforce the math presented in this lesson, and give you opportunities to build on and practice your skills.

•	Work through the practice problems for this lesson.
	These problems are for practice, you don’t need to hand them in!
	(your teacher may assign specific questions for you to complete)

•	Use the answers in the back of the book to CHECK YOUR WORK!

•	If you make a mistake, TRY TO FIX IT!

•	If you need help or want more information, view the video solutions provided.

•	If you still need more help,  CONTACT YOUR TEACHER!

•	EXTEND YOUR THINKING problems will be more challenging than the others.

Notes

Question 5,    I didn’t do a video for this one.
See the answer in the back of the book.

Question 6,    I didn’t do a video for this one.
See the answer in the back of the book.

Question 8,    I didn’t do a video for this one.
I can see the logic in the textbook answer, but I had 9°, not 6°.
Would welcome student comments if anyone does this.

Video Solution Links

Check your work for every problem you do!
If you make a mistake,  try to fix it!
Use the video solutions for more information.
If a problem still doesn’t make sense, ASK YOUR TEACHER FOR HELP!

({{"Question 1", "Question 2", "Question 3", "Question 4"}, { , "Question 7",  , }})

Develop and Maintain Your Skills

Doing these problems

These questions are provided to help you develop and maintain your skills with the ideas of this lesson.

These questions are modelled after the questions in the textbook,  so there is nothing different here, just more questions if you need them.

These questions are completely optional (unless your teacher specifically assigns them)

Each question has an answer AND a video solution.

DO your best to answer the question YOURSELF first!

Check your work with the answer provided.

If you make a mistake,  try to fix it!

Use the video solutions for more information.

If a problem still doesn't make sense, ASK YOUR TEACHER FOR HELP!

Practice Problems

Problem

If a right angle is bisected, what is the size of each angle?

Answer

45°

Video Solution Link

Problem

An angle is bisected.

Each resulting angle is 78°.

How big was the original angle?

Answer

156°

Video Solution Link

Problem

The size of one resulting angle after the original angle is bisected is equal to the supplement of the original angle.

What is the measure of the original angle?

Answer

The original angle is 120°

Video Solution Link

Problem

A crooked table leg makes an angle of 86.7° with the tabletop.

How many degrees must the carpenter move the leg so that it is perpendicular to the tabletop?

Answer

3.3°

Video Solution Link

Problem

A carpenter is inlaying different types of wood on a tabletop. What must be the size of angles a, b, c, and d?

Answer

angle a:  45°
angle b:  50°
angle c:  55°
angle d:  30°

Video Solution Link

Problem

Kaleb is edging a garden bed with square tiles. In the corner shown below, he wants two congruent tiles. At what angle must he cut the tiles so that they fit?

Answer

angle x:  67.5°
angle y:  22.5°

Video Solution Link

Problem

The angle at the peak of a roof is 135°.

Calculate the measure of the angle formed by the rafter and the king post.

Answer

67.5°

Video Solution Link