TODAY IN GEOMETRY… Learning Goal: Review Inductive Reasoning, Conditional Statements and...

TODAY IN GEOMETRY…

Learning Goal: Review Inductive Reasoning, Conditional Statements and Algebraic Proofs

Retake Ch. 1 Test before Friday!

CH. 2 TEST FRIDAY!All CH. 2 HW Due Friday!

Find the distance of . Where .

There is two ways to find the distance:1. Graph the points, draw a triangle, then find the lengths of the

legs of the triangle.2. Use the distance formula.METHOD 1

C

D

3

6

METHOD 2

Find x. A

B C

D

6 𝑥−204 𝑥+10

Congruent AnglesSubstitute known values Subtract

Add

Divide

In the line segment below . Find .

BA C3 𝑥+6 5 𝑥−2

Segment Addition Postulate Substitute known values

Combine like terms Subtract

Divide

Use equation for Substitute Multiply then add

In the following slides, name the property shown:

𝐼𝑓 𝑥=5 , h𝑡 𝑒𝑛 𝑥+3=8

Substitution Property

𝐼𝑓 3 𝑥=15 , h𝑡 𝑒𝑛 𝑥=5

Division Property

Symmetric Property

Transitive Property

𝐴𝐵=𝐴𝐵

Reflexive Property

In the following slides, find the next number in the pattern:

8, 11, 15, 20, 26, …

+3 +4 +5 +6

Next term: 33

+1 +1 +1

2, 5, 10, 17, 26, …

+3 +5 +7 +9

Next term: 37

+2 +2 +2

17, -19, 21, -23, 25, …

Increases by 2 and alternates signs

Increases by 2 and alternates signs

Increases by 2 and alternates signs

Increases by 2 and alternates signs

Next term: -27

Given: Prove:

STATEMENT REASON

1.3 (𝑥−4 )+2𝑥=13 1. Given

2 .3𝑥−12+2 𝑥=13 2. Distribution Property

3 .5 𝑥−12=13 3. Combine like terms

4 .5𝑥=25 4. Addition Property

5 .𝑥=5 5. Division Property

Chapter 2 Review: Pg. 138: 1-6,14-20

*We will go over the solutions at the end of class.

If you have completed the review:• Check to see if you have all assignments

completed and turned in• Complete Ch.1 Test corrections• Do Ch.1 Retake (given time)

YOU MUST REMAIN IN YOUR SEATS.

1.

2.

3. Pattern: Add 5 Next term: 144. Pattern: Divide -2 Next term: 6.25

6. Conditional Statement: If an animal is a frog, then it is an amphibian. Converse: If an animal is an amphibian, then it is a frog. Inverse: If an animal is not a frog, then it isn’t an amphibian. Contrapostitive: If an animal is not an amphibian, then it isn’t a frog.

5. Conditional Statement: If the angles are right angles, then they are congruent. Converse: If the angles are congruent, then they are right angles. Inverse: If the angles are not right angles, then they are not congruent. Contrapostitive: If the angles are not congruent, then they are not right angles.

14. Statement Reason 16. Statement Reason

15. Statement Reason

17. B18. A19. C20. 54°, 54°, 126°, 126°

1.

2.

3.

1. Given

2. Subtraction Property

3. Division Property

1.

2.

3.

4.

1. Given

2. Distribution Property

3. Addition Property

4. Division Property

1.

2.

3.

4.

5.

1. Given

2. Distribution Property

3. Combine like terms

4. Subtraction Property

5. Division Property

HOMEWORK:

ALL DUE FRIDAY!

If finished, work on other assignments:

HW #1: Pg. 75: 3-17, 23-28, 31HW #2: Pg. 82: 3-18, 26-28, 47-54HW #3: Inductive Reasoning and Conditional Statement WSHW #4: Pg. 108: 3-5, 6-14, 21-24

PRACTICE TESTS ONLINE!