Chapter 4 Review (Proving Triangles are congruent)
4-1 Congruent Triangles
In this section, we found out what congruent triangles are. Congruent triangles are triangles with
congruent corresponding sides and angles. There isn’t a lot of information to recall from this chapter
but it is just very important to understand what congruent triangles are.
4-2 Proving triangles are congruent by S.S.S and S.A.S
In this section, we were taught how to prove triangles are congruent by S.S.S and S.A.S
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4-3 Proving triangles are congruent by A.S.A and A.A.S
In this section, we were taught how to prove triangles are congruent by A.S.A and A.A.S
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REMEMBER!!! You cannot prove triangles are congruent by A.S.S and A.A.A
4-4 Corresponding parts of congruent triangles are congruent (C.P.C.T.C)
In this section, we learned about corresponding parts of congruent triangles. If you prove that two
triangles are congruent, then its corresponding sides and angles are congruent. Example: If triangles
DEF and GHI are congruent, then DE = GH or <EFD = <HIG.
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4-5 Isosceles and Equilateral Triangles
In this section, we learned about specific properties of Isosceles and Equilateral triangles. Remember,
Isosceles triangles have two congruent sides and their base angles are congruent. An equilateral triangle
have all congruent sides and angles. The angles of an equilateral triangle must be 60 degrees.
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4-6 Hypotenuse-Leg Theorem
In this section, we learned how we can prove right triangles are congruent using the hypotenuse leg
theorem.
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4-7 Congruence of Overlapping Triangles
In this section, we did not learn any theorem or vocab but we learned about overlapping triangles and
how to highlight specific triangles and separate the two of them. The purpose of separating the two
triangles is to see them more clearly. Especially when you start to prove the triangles are congruent, it
really helps you visualize your congruent marks on sides and angles.
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