Honors Geometry Companion Book, Volume 1

4.2.3 Triangle Congruence: CPCTC - Practice

1.  Given that E is the midpoint of BC and that ∠ B ≅ ∠ C , prove that BA ≅ CD .

2.  Given that SQ bisects ∠ PSR and

∠ SPQ ≅ ∠ SRQ , prove that PS ≅ SR .

4.  Given that E is the midpoint of AD and BC , prove that ∠ EAB ≅ ∠ EDC .

3.  Given that in isosceles △ KMH , base MH , and ∠ JMK ≅ ∠ LHK , prove that MJ ≅ HL .

6.  Use the given set of points to prove that ∠ B ≅ ∠ F .

5.  Given that ∠ ADB and ∠ CDB are right angles, and BD bisects ∠ B , prove that D is the midpoint of AC .

A (0, 0) B (3, 0) C (2, 3), D (3, 0) E (1, 3) F (4, 3)

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