GEOMETRY Angles and Lines NAME Transversals DATE Per.
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1 GEOMETRY Angles and Lines NAME t l p a) Which are the angles that are on the same side but opposite and interior to each exterior angle? 1 7 b) What letter do they appear to form? a) Copy the angles in this part of the diagram. a) Draw the part that has angles 3 & 6. b) What letter do they appear to form? b) What letter do they appear to form? 4. a) Copy the consecutive interior angles. 5. b) Draw the part that has angles 4 & 6. a) Draw the part that has angles 2 & 8. c) What letter do two of them form? b) Which ones are on the same side? 6. Redraw the diagram above so that the consecutive interior angles are less than 180 combined (or both acute.) a) Do any lines then intersect? b) If so, on which side?
2 GEOMETRY Transversal Lines NAME Vocabulary: transversal l p exterior t exterior interior 1. 1 and 5, 2 and 6 are Corresponding Angles. a) Which angle corresponds to 3? b) Name another pair of corresponding angles. c) What is a good definition for corresponding angles? 2. 3 and 6 are Alternate Interior Angles and 8 are Alternate Exterior Angles. a) Which angle is alternate interior to 4? a) Name another pair of alternate exterior s: alternate interior angles? alternate exterior angles? 4. 3 and 5 are Same-Side Interior Angles and 8 are Same-Side Exterior Angles. a) Which angle is same-side interior to 4? a) Name another pair of same-side exterior s: same-side interior angles? same-side exterior angles? Corresponding Angles Postulate If a transversal cuts two parallel lines, then corresponding angles are congruent.
3 GEOMETRY Angles & // Lines NAME 1. a) Label the diagram. Copy the theorem. AIA Alternate Interior Angles Theorem : 2. AEA Alternate Exterior Angles Theorem : a) Copy the theorem. Refer to the diagram. b) Fill in the GIVEN and PROVE statements. b) Fill in the GIVEN and PROVE statements. c) Re-order the steps and complete the proof. c) Re-order the steps and complete the proof. 3. SSI a) Copy the theorem. Refer to dagram. Same-Side Interior Angles Theorem : 4. SSE a) Copy the theorem. Refer to diagram. Same-Side Exterior Angles Theorem : b) Fill in the GIVEN and PROVE statements. b) Fill in the GIVEN and PROVE statements. c) Re-order the steps and complete the proof. c) Re-order the steps and complete the proof.
4 GEOMETRY // Converses NAME 1. Write the converse statement of each postulate/theorem. a) Corresponding Angles Postulate b) A.I.A. Theorem c) A.E.A. Thm. d) S.S.I. Thm. e) S.S.E. Thm. Label the diagram below. Then prove each converse theorem. 2. AIA Converse 3. AEA Converse 4. SSI Converse 5. SSE Converse
5 GEOMETRY // and NAME Label the diagram. Copy the Copy the theorem. Label the 6. to // theorem. Complete the proof. 7. Two s diagram. Complete the proof. Perpendicular to Parallels Theorem : Two Perpendiculars Theorem : 8. Three // s Label the diagram. Copy the theorem. Complete the proof. Parallel Transitivity Theorem: Parallel Planes Thoerem: 9. // Planes
6 GEOMETRY Unique // and NAME Copy the theorem. Label the 1. Corresponding Converse 2. Unique // Label the diagram. Copy the theorem. Complete. diagram. Complete the proof. Label the diagram. Copy the theorem. Complete the proof. 3. OffLine 4. OnLine
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