Corresponding Parts in Geometry
This worksheet focuses on identifying and using corresponding parts of congruent figures, particularly triangles, at a Grade 11 level, aligning with Common Core Geometry standards.
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Corresponding Parts in Geometry
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Carefully read each question and provide the most accurate answer. Remember that Corresponding Parts of Congruent Triangles are Congruent (CPCTC).
1. If triangle ABC is congruent to triangle DEF (ΔABC ≅ ΔDEF), which of the following statements is true?
AB ≅ DE
AC ≅ EF
∠A ≅ ∠F
BC ≅ DF
2. If two triangles are congruent, then their parts are also congruent.
3. The acronym CPCTC stands for .
4. Given that ΔXYZ ≅ ΔRST, list all pairs of corresponding angles and corresponding sides.
5. Consider the two triangles below. If ΔPQR ≅ ΔJKL, identify which angle corresponds to ∠Q and which side corresponds to side JL.
6. If two triangles have the same perimeter, they must be congruent.
True
False
Match the congruence postulate/theorem with its description.
7. SSS Congruence
a. If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
8. SAS Congruence
b. If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
9. ASA Congruence
c. 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.
10. Given: AB || DC and AD || BC.
Prove: ΔABC ≅ ΔCDA.