Geometry Worksheet
Congruent Triangles
AAS (Angle-Angle-Side) & ASA (Angle-Side-Angle) Postulates
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Congruent Triangles - AAS & ASA Postulates |
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This worksheet contains problems and proofs that involve showing that two triangles are
congruent using the ASA and AAS postulates. These proofs also require an understanding
of previous properties, definitions, postulates, and theorems such as the segment
addition postulate, angle addition postulate, the properties of parallel lines,
the reflexive and substutition properties
of equality, etc. |
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Sample Problems from Worksheet (diagrams not shown) |
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Triangle Congruence Proofs – ASA, AAS
1) Determine which triangles in the figure are congruent by AAS. Write a
congruency statement.
3-6) Decide whether you can use the ASA or AAS Postulate to prove that the
triangles below are congruent. If so a) write the congruence statement and b)
identify the postulate. If not, write not possible.
6-8) Write a two Column Proof.
9) Write a Two Column Proof or Paragraph Proof.
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