Loading in 5 sec....

Lesson 5.3 Proving Triangles are Congruent: ASA and AASPowerPoint Presentation

Lesson 5.3 Proving Triangles are Congruent: ASA and AAS

Download Presentation

Lesson 5.3 Proving Triangles are Congruent: ASA and AAS

Loading in 2 Seconds...

- 95 Views
- Uploaded on
- Presentation posted in: General

Lesson 5.3 Proving Triangles are Congruent: ASA and AAS

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Lesson 5.3 Proving Triangles are Congruent: ASAand AAS

Pages 250 - 252

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Angle– B ≅ M

Side – BO≅MA

Angle– O≅A

Therefore, by ASA, BOW ≅ MAN

M

B

A

N

O

W

N

P

O

M

L

K

If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the triangles are congruent.

Angle– B ≅ M

Angle - O ≅ A

Side – BW ≅MN

Therefore, by AAS, BOW ≅ MAN

M

B

A

N

O

W

A

L

H

R

P

R

T

S

A proof is a convincing argument that shows why a statement is true. A two-column proof has numbered statements and reasons that show the logical order of the argument. Each statement has a reason listed to its right.

- List the given information first
- Use the information from the diagram
- Give a reason for every statement
- Use given information, definitions, postulates, and theorems as the “Reasons”
- List statements in order.
- End the proof with the statement that you are trying to prove.

Given: JK ≅MNand J ≅ N

Prove: JKL ≅ NML

Statements:Reasons:

1.1.

2.2.

3.3.

4.4.

J

M

L

K

N

Given: A≅ G, R ≅ R, R is the midpoint of AG

Prove: DRA ≅ DRG

Statements:Reasons:

1.1.

2.2.

3.3.

4.4.

5.5.

.

D

R

G

A

Pages 254 – 256

#14 – 26 even, #34, #38 – 44 even

and

5.3 Practice B worksheet