Section 4.3 &amp; 4.4: Proving s are Congruent

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# Section 4.3 &amp; 4.4: Proving s are Congruent - PowerPoint PPT Presentation

Section 4.3 &amp; 4.4: Proving s are Congruent. Goals. Identify  figures and corresponding parts Prove that 2  are . Anchors. Identify and/or use properties of congruent and similar polygons Identify and/or use properties of triangles. M. Q. N. R. P. S.

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### Section 4.3 & 4.4: Proving s are Congruent

Goals

• Identify  figures and corresponding parts
• Prove that 2  are 

Anchors

• Identify and/or use properties of congruent and similar polygons
• Identify and/or use properties of triangles

M

Q

N

R

P

S

Side-Side-Side (SSS)  Postulate
• If

If

Then

Then we can say:

Statements

Reasons

Given: D is the midpoint of ACABC is isoscelesProve: ABD  CBD

Q

X

P

W

S

Y

Side-Angle-Side (SAS)  Postulate
• If

If

)

)

Then

Then we can say:

)

Q

M

)

R

N

S

P

)

)

Angle-Side-Angle (ASA)  Postulate
• If

If

Then

Then we can say:

1

3

4

2

Statements

Reasons

Q

X

)

)

P

W

S

Y

)

)

Angle-Angle-Side (AAS)  Theorem
• If

If

Then

Then we can say:

Statements

Reasons

Given: AD ║ EC , B is the mdpt of CDProve: ABD  EBC

Statements

Reasons

Given: AD ║ EC , B is the mdpt of CDProve: ABD  EBC
Theorem 4.8: Hypotenuse-Leg (HL)  Theorem
• If

D

A

If

Then

B

C

E

F

Then we can say: