chapter 5 Test Review

Things to know for the test...







In class review packet

Chapter 5 Relationships in a Triangles Test Review

Chapter 5 Relationships in a Triangles Test Review

Chapter 5 practice Test

Practice Quizzes
5.1
5.2
5.3
5.4
5.5
5.6

5.4-5.6 Practice Problems

5.6 Inequalities in Two Triangles and Indirect Proof

5.6 Inequalities in Two Triangles and Indirect Proof

5.6 Inequalities in Two Triangles and Indirect Proof



Click for 5.6 notes

5.5 Use Inequalities in a Triangle

5.5 Use Inequalities in a Triangle

Goal: You will find possible side lengths of a triangle.

5.5 practice Quiz

In class examples

5.4 Altitude And Median

5.4 Altitude And Median

Goal: How do you find the Centroid of a Triangle?

5.4 Altitude And Median Ppt

View more presentations from guestd1dc2e.

5.3 Use Angle Bisectors of Triangles

5.3 Use Angle Bisectors of Triangles



How each theorem works: lesson 5 examples 1-3

5.3 practice quiz 1

5.3 practice quiz 2

5.2 Perpendicular Bisector

5.2 Perpendicular Bisector

Goal: You will use perpendicular bisector to solve problems

5.2 practice Quiz 1

5.2 practice Quiz 2



Example 1:




Example 2:

5.1 Midsegment Quiz

Practice for 5.1 Midsegment Theorem and Coordinate Proof Quiz

5.1 Practice Quiz

5.1 Midsegment Theorem and Coordinate Proof

Chapter 5 Relationships within Triangles



In class examples:

Day 1: Midsegment Theorem

Midsegment of a Triangle

Practice with midsegment #'s 1-4

Day 2: Coordinate Proof



practice with proofs #'s 5-7

Practice using CPCTC

Practice using CPCTC

Review homework problems.

Use Congruent Triangles

What you need to know for the quiz tomorrow. How to use and identify the following:

1. SSS
2. SAS
3. AAS
4. ASA
5. HL
6. CPCTC

Try the following quizzes for homework tonight.

• Prove Triangles Congruent by SSS
• Prove Triangles Congruent by SAS and HL
• Prove Triangles Congruent by ASA and AAS
• Use Congruent Triangles
  

should anyone enter the class, that may be an administrator, or superior to myself in any fashion, i shall hold my mouth, and treat them with the utmost respect that they deserve.

Ch 4 test review outline

Ch 4 test review outline



For Friday try pg 282 - 285 #'s 1-26 all. Good Luck and Happy studying!!



CPCTC and base angle theorem practice problems

4.7 Use Isosceles and Equilateral Triangles

4.7 Use Isosceles and Equilateral Triangles

Goal • Use theorems about isosceles and equilateral triangles.

Vocabulary

When an isosceles triangle has exactly two congruent sides, these two sides are the legs. The angle formed by the legs is the vertex angle. The third side is the base of the isosceles triangles. The two angles adjacent to the base are called base angles.

Legs
The legs of an isosceles triangle are the two congruent sides.

Vertex angle
The vertex angle of an isosceles triangle is the angle formed by the legs.

Base
The base of an isosceles triangle is the side that is not a leg.

Base angles
The base angles of an isosceles triangle are the two angles adjacent to the base.

In class examples (click for link)


Lesson 7 Examples 1-4

4.6 Use Congruent Triangles

4.6 Use Congruent Triangles
Key Concept

Once you have proved that two triangles are congruent, you know that their corresponding parts must be congruent as well. This will allow you to find the unknown measures of angles , objects and distances, as well as prove that constructions of copying angles are valid.

Goal: Use congruent triangles to prove corresponding parts congruent.

4.5 using congruent triangles

View more presentations from Jessica Garcia.

Practice with Congruent Triangle Proofs

Practice with Congruent Triangle Proofs

Practice with Beginning Congruent Triangle Proofs

Directions: When attempting to prove triangles congruent, it is important to satisfy all of the conditions of the congruent triangle method you are using. This activity is designed to help you organize your thinking about how the parts of a congruent triangle proof will come together. In each problem below, examine the diagram and the GIVEN information. You may wish to draw the diagrams on paper so that you can mark off the information.

• Determine the method needed to prove the triangles congruent.
  (ASA, SAS, AAS, SSS, or HL for right triangles only)

• Check to see if you have the correct method by looking at the Method for Congruent Triangles box at the bottom of the chart.

• Each of the three components needed to support the chosen method appear to the left of their corresponding Statement.

• Decide what Reasons can be used to support your decisions.

Example 1: Prove Triangles are Congruent

Homework:
Do the following problems below. I will collect this assignment tomorrow in class.

Directions:

1. Copy down each diagram.
2. Mark up the diagram.
3. Fill in all the blanks.
4. 
   

Triangles Congruence Theorems (SSS, SAS, ASA, HL)

Triangles Congruence Theorems (SSS, SAS, ASA, HL)


Methods for Proving Triangles Congruent

Goal:

Learn Different methods to prove triangles are congruent using:

1. Side Lengths
   
2. Side Lengths and Angles
   

Provingtrianglescongruentssssasasa

View more presentations from Jessica Garcia.

In summary, when working with congruent triangles, remember to:

1. Mark any given information on your diagram.
2. Look to see if the pieces you need are "parts" of the triangles that can be proven congruent.
3. If not given all needed pieces to prove the triangles congruent, look to see what else you might know about the diagram.
4. Know your definitions! If the given information contains definitions, consider these as "hints" to the solution and be sure to use them.
5. Stay open-minded. There may be more than one way to solve a problem.
6. Look to see if your triangles "share" parts. These common parts are automatically one set of congruent parts.
   

Remember that proving triangles congruent is like solving a puzzle. Look carefully at the "puzzle" and use all of your geometrical strategies to arrive at an answer.

Working with Congruent Triangles in Proofs

Working with Congruent Triangles in Proofs

Remember when working with congruent triangles...

1. Mark any given information on your diagram.
2. Look to see if the pieces you need are "parts" of the triangles that can be proven congruent.
3. If not given all needed pieces to prove the triangles congruent, look to see what else you might know about the diagram.
4. Know your definitions! If the given information contains definitions, consider these as "hints" to the solution and be sure to use them.
5. Stay open-minded. There may be more than one way to solve a problem.
6. Look to see if your triangles "share" parts. These common parts are automatically one set of congruent parts.

Example 1: How do we decide which method we should be using?

Example 2: Numerical Practice with Congruence


Quiz Monday

Do now:

4.1 and 4.2 Quiz

4.2 Apply Congruence and Triangles

4.2 Apply Congruence and Triangles



In class examples: lesson 2 examples 1-5

4.1 practice Quiz

4.2 practice Quiz

4.1 Apply Triangle Sum Properties

4.1 Apply Triangle Sum Properties

Chapter 4 Congruent Triangles

Big Ideas

1. Classifying triangles by sides and angles
2. Proving that triangles are congruent
3. Using coordinate geometry to investigate triangle relationships
   

In class problems: Do workbook pg 61-63 #'s 5-8, 11-15 odd 21 -26 all.

Finish workbook problems for homework.

Happy Monday :-)

Monster Mash

Have a wonderful weekend. Happy Halloween

3.3 prove lines are parallel quiz

Halloween Count down.

Top Halloween music videos...Enjoy.

Metric-Monster Hospital

3.1 and 3.2 quiz

WOW Class Geometry is everywhere!!!

WOW Class Geometry is everywhere!!!



(3.3 Prove lines are Parallel) Click here for lesson

1. What do we have to know first to use the the following?

* Corresponding Angles Postulate
* Alternate Interior Angles Theorem
* Alternate Exterior Angles Theorem
* Consecutive Interior Angles Theorem


2. Write the converse of the following statement.

If it is raining, then Josh needs an umbrella.


3. How do you prove lines are parallel?

2.6 proof practice

Welcome to Back to School Night

Math can be a difficult subject for many students. Most children loose interest in mathematics, simply because they think it's too hard. Parents and teachers may find it difficult to motivate their students to complete their math assignments. Here are some suggestions to help your students in solving their math problems and overcome their fears:

1. Encourage Them!

You can improve your children's learning ability by providing them a positive environment. Many teachers often forget to encourage the efforts of their students. Children should be appreciated when they correctly solve their math problems. Teachers should mark their assignments, leniently. They are advised to keep their tone and attitude positive, since children can easily pick up signs of negativity.

2. Follow up on Homework

Teachers must ensure that children understand their homework. If the students are facing problems then the teachers should properly explain the assignment to them. Children will feel easy once they know what they have to do. Teachers can further assist by guiding them on what they should do the difficult parts. They should be able to judge the students response: do they understood the problem or not? Children must be provided further assistance if they need it. Parents need to monitor the progress of their children to make sure that they are doing fine. They should encourage them for their good performance.

3. Demonstrate the use of Math

Parents can also use real life examples to teach math to their children. School going children can learn a lot from every day examples. Simply ask them to calculate the money you have to pay for tickets, next time you go out to the movies. Try multiplying the number of cars of two different colors.

4. Real Life Math

Explain to your children how they can use math to solve their problems. They should understand that math is not about using simple arithmetic skills like addition and subtraction; it is much more than that. Children can use their mathematics skills to solve every day problems. They can find out how many pieces of pizza you need to cut so that it can be shared in your family. Just go beyond the daily assignments and let your children explore the real world problems to improve their mathematics. This will show them the true value of math in their lives.

5. Get them to talk!

Encourage your kids to talk. Tell your child to solve their math problems by talking about the correct steps. This will allow you to monitor what he or she is thinking. You can detect the problem areas while your child is talking his way through the steps.

6. Everybody loves money.

You should teach your children money skills. Your kids can use fractions and percentages to find out how much savings they have made on a particular purchase. For example if your children went to a movie that costs $30 and they have saved $10, so in terms of fractions they have saved 1/3 of the amount or 33%

7. Telling Time

Teach your children how to tell the accurate time. Use digital and analog clocks for this purpose. You can talk with them about, seconds, minutes, hours and days.

8. Make Math Games

Learning mathematics should be a fun activity for your children. You can combine math with various games to make it interesting for your children. Other effective methods of teaching involve use of flash cards that test the child's math skills to help him get better in mathematics.

9. Use Computers

You can increase your child's learning speed by using computers and various educational software. Today's children are much more familiar with computers than their parents were at the same age. There are many computer games that involve the use of math skills. Senior students may be interested to learn about spreadsheets and calendars to improve their mathematics.

10. Talk to Teachers

Parents and Teachers should communicate with each other on a frequent basis. They should assist the students in learning the proper mathematics skills. Parents can play an essential role in improving their children's performance by regularly communicating with the teachers. They can work with the teachers to solve their children's problems.

Math Worksheets Center is home to over 8,000 highly quality printable K-12 math worksheets, lessons, quizzes, and homework. See it now: http://www.mathworksheetscenter.com

1.3 Distance and midpoint quiz

Quiz 1: Point, lines, and Planes and Segment Addition

Assignments