4.3- Proving Triangles are Congruent: SSS & SAS Proving... · Postulate 20-Side-Angle-Side (SAS)...
Transcript of 4.3- Proving Triangles are Congruent: SSS & SAS Proving... · Postulate 20-Side-Angle-Side (SAS)...
Bell Ringer:
Why can’t two triangles be
proven congruent based solely on
their angle measurements?
Bell Ringer:
Why can’t two triangles be
proven congruent based solely on
their angle measurements?
At least one set of sides must be
congruent.
Daily Learning Target:
“I can prove triangles congruent
by their sides and angles with
SSS and SAS methods.”
How much do you need to know?
• To prove two triangles are exactly alike? (congruent)
• If all 6 parts (3 corresponding sides and 3 corresponding angles) are congruent….that would do it.
• Any “shortcuts”?
Postulate 19-Side Side Side
(SSS) Congruence Postulate
• If three sides of one
triangle are congruent
to three sides of
another triangle
• Then the two triangles
are congrurent.
• The remaining parts
are congruent. Side CADOSide CTDGSide ATOG
CAT DOG
G
O
D
T
A
C
Postulate 20-Side-Angle-Side
(SAS) Congruence Postulate
• If two sides and the
included angle of one
triangle are congruent
to two sides and the
included angle of
another triangle…
• Then the triangles
are congruent. Side CADOAngle AOSide ATOG
CAT DOG
G
O
D
T
A
C
Use the diagram. Name the
included angle between the pair of
sides given.
Use the diagram. Name the
included angle between the pair of
sides given.
For each pair of congruent
triangles, name the pairs of
corresponding sides.
For each pair of congruent
triangles, name the pairs of
corresponding sides.
Decide whether enough information is given
to prove the triangles are congruent. If there
is enough information, state the congruence
postulate you would use.
Decide whether enough information is given
to prove the triangles are congruent. If there
is enough information, state the congruence
postulate you would use.
Decide whether enough information is given
to prove the triangles are congruent. If there
is enough information, state the congruence
postulate you would use.
Decide whether enough information is given
to prove the triangles are congruent. If there
is enough information, state the congruence
postulate you would use.
Decide whether enough information is given
to prove the triangles are congruent. If there
is enough information, state the congruence
postulate you would use.
Decide whether enough information is given
to prove the triangles are congruent. If there
is enough information, state the congruence
postulate you would use.
Decide whether enough information is given
to prove the triangles are congruent. If there
is enough information, state the congruence
postulate you would use.
Decide whether enough information is given
to prove the triangles are congruent. If there
is enough information, state the congruence
postulate you would use.
Decide whether enough information is given
to prove the triangles are congruent. If there
is enough information, state the congruence
postulate you would use.
Decide whether enough information is given
to prove the triangles are congruent. If there
is enough information, state the congruence
postulate you would use.
Decide whether enough information is given
to prove the triangles are congruent. If there
is enough information, state the congruence
postulate you would use.
Decide whether enough information is given
to prove the triangles are congruent. If there
is enough information, state the congruence
postulate you would use.
Are these triangles congruent?
• By what
rule?
• Could you
use the
distance
formula
to verify
your
claim?
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10
DE
F
C
BA
Assignment 4.1
Pages 208-211
(4-9, 20-25, 44-46)
Closing Activity: Whiteboards
In the SAS method of proving
triangles congruent, is the A part
between or outside the S’s?
Closing Activity: Whiteboards
In the SAS method of proving
triangles congruent, is the A part
between or outside the S’s?
Between