CK-12 Geometry-Concepts

(Marvins-Underground-K-12) #1

2.8. Two-Column Proofs http://www.ck12.org


5.Given:l⊥mProve:^6 1 and^6 2 are complements

Use the picture for questions 6-15.


Given:His the midpoint ofAE,MPandGC


Mis the midpoint ofGA


Pis the midpoint ofCE


AE⊥GC



  1. List two pairs of vertical angles.

  2. List all the pairs of congruent segments.

  3. List two linear pairs that do not haveHas the vertex.

  4. List a right angle.

  5. List two pairs of adjacent angles that are NOT linear pairs.

  6. What is the perpendicular bisector ofAE?

  7. List two bisectors ofMP.

  8. List a pair of complementary angles.

  9. IfGCis an angle bisector of^6 AGE, what two angles are congruent?

  10. Fill in the blanks for the proof below.


Given: Picture above and^6 ACH∼=^6 ECH


Prove:CHis the angle bisector of^6 ACE


TABLE2.26:


Statement Reason

1.^6 ACH∼=^6 ECH
CHis on the interior of^6 ACE


1.

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