section 4 3 4 4 proving s are congruent
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Section 4.3 & 4.4: Proving s are Congruent

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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.

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section 4 3 4 4 proving s are congruent

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
side side side sss postulate

M

Q

N

R

P

S

Side-Side-Side (SSS)  Postulate
  • If

If

Then

Then we can say:

given d is the midpoint of ac abc is isosceles prove abd cbd

Statements

Reasons

Given: D is the midpoint of ACABC is isoscelesProve: ABD  CBD
side angle side sas postulate

Q

X

P

W

S

Y

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

If

)

)

Then

Then we can say:

angle side angle asa postulate

)

Q

M

)

R

N

S

P

)

)

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

If

Then

Then we can say:

angle angle side aas theorem

Q

X

)

)

P

W

S

Y

)

)

Angle-Angle-Side (AAS)  Theorem
  • If

If

Then

Then we can say:

given ad ec b is the mdpt of cd prove abd ebc

Statements

Reasons

Given: AD ║ EC , B is the mdpt of CDProve: ABD  EBC
given ad ec b is the mdpt of cd prove abd ebc1

Statements

Reasons

Given: AD ║ EC , B is the mdpt of CDProve: ABD  EBC
theorem 4 8 hypotenuse leg hl theorem
Theorem 4.8: Hypotenuse-Leg (HL)  Theorem
  • If

D

A

If

Then

B

C

E

F

Then we can say:

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