Week 7 Geometry Refresher

Which angles in the diagram would be considered vertical angles?

• <ACB & <BCD

• <ECD & <ACF

• <BCE & <FCA

• <BCA & <ECF

What angle is Supplementary to <ACF?

• <ECF

• <DCE

• <BCE

• <BCA

Segment EF bisects <DEG, <FEG = 9x -16 and <DEF = 2x + 12, find the m<DEG

Conditional statement:

"If it is windy, then the kite will fly"

Which answer choice is the correct INVERSE statement to the given conditional statement?

• "The kite will fly, if and only if it is windy"

• "If it is not windy, then the kite will not fly"

• "If the kite flies, then it is windy"

• "If the kite does not fly, then it is not windy"

Given: L ∥ M and A ∥ B

Prove: <3 ≅ <14

Statements Reason

L ∥ M and A ∥ B Given

• S R

  <3 ≅ <6 Alt Int <'s

  <6 ≅ <14 Corr <'s

  <3 ≅ <14 Transitive

• S R

  <3 ≅ <11 Corr <'s

  <11 ≅ <14 Vert <'s

  <3 ≅ <14 Transitive

• S R

  <3 ≅ <11 Corr <'s

  <11 ≅ <14 Alt Int <'s

  <3 ≅ <14 Transitive

• S R

  <3 ≅ <9 Alt Int <'s

  <9 ≅ <14 Corr <'s

  <3 ≅ <14 Transitive