Download Sections 4.3 and 4.4 - Leon County Schools

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Transcript
Bell Work:
1.
Are these two triangles congruent? Justify
your answer
2.
Construct two triangles that are congruent,
by giving measurements to three things;
some combination of sides and angles
Bell Work from last time
1.
Identify the angle relationships in the figure
to the right
2.
Are any of the lines in the figure parallel?
How do you know?
3.
Write the equation of a line in slopeintercept from which has a slope of 7 and a
y-intercept of -3
When are two triangles congruent?
Barney Says…
Do you agree with Barney? Explain why or why not.
If you don’t agree, explain which combinations of sides and angles
you think can be used to prove triangles are congruent
Can we
conclude
these
triangles are
congruent?
4.3: Triangle
congruence by
ASA and AAS

Postulate 4-3: Angle-Side-Angle(ASA) Postulate
If two angles and the included side of two
triangles are congruent, then the two triangles are
congruent

The included side of a triangle is the one which
lies between two given angles
Which two
triangles are
congruent?

Theorem 4-2: Angle-Angle-Side(AAS) Theorem
If two angles and the non-included side of one
triangle is congruent to those of another
triangle, the triangles are congruent
Find
the value for x
so that the triangles
are congruent, and
state which
theorem/postulate
shows they’re
congruent
4.4: Using
Corresponding
Parts of Congruent
Triangles (CPCTC)
 Previously,
we learned that two triangles
are congruent IF every side and every
angle is congruent.
 If
two triangles are congruent, what can
we then conclude about all sides and
angles of the two triangles?
Homework:
Congruent
Triangles Worksheet
Prepare for a quiz retake on
Wednesday