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Lesson 4-1 Classifying Triangles
Lesson 4-2 Angles of Triangles
Lesson 4-3 Congruent Triangles
Lesson 4-4 Proving Congruence–SSS, SAS
Lesson 4-5 Proving Congruence–ASA, AAS
Lesson 4-6 Isosceles Triangles
Lesson 4-7 Triangles and Coordinate Proof
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Example 2 Transformations in the Coordinate Plane
OBJECTIVE: To identify congruent transformations
(2.9.8D) (M8.C.1.1)
COORDINATE GEOMETRY The vertices of RST are
R(─3, 0), S(0, 5), and T(1, 1). The vertices of RST
are R(3, 0), S(0, ─5), and T(─1, ─1). Verify that
RST RST.
Use the Distance Formula to find the length of each side of
the triangles.
Use the Distance Formula to find the length of each side of
the triangles.
Use the Distance Formula to find the length of each side of
the triangles.
Answer: The lengths of the corresponding sides of two
triangles are equal. Therefore, by the definition
of congruence,
Use a protractor to measure the angles of the triangles. You
will find that the measures are the same.
In conclusion, because
,
COORDINATE GEOMETRY The vertices of RST are
R(─3, 0), S(0, 5), and T(1, 1). The vertices of RST 
are R(3, 0), S(0, ─5), and T(─1, ─1). Name the
congruence transformation for RST and RST.
Answer: RST is a
turn of RST.
COORDINATE GEOMETRY The vertices of ABC are
A(–5, 5), B(0, 3), and C(–4, 1). The vertices of ABC
are A(5, –5), B(0, –3), and C(4, –1).
a. Verify that ABC ABC.
Answer:
Use a protractor to verify that
corresponding angles are
congruent.
b. Name the congruence transformation for ABC
and ABC.
Answer: turn
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