Geometry Week 4 27 September Go over notes

Geometry Week 4 27 September Go over notes on proofs from last week as well as homework (congruency statements) Algebra in Geometry Task Cards Vertical Angles inquiry For the coming week: Lesson 17 #1 -20 Lesson 18 #1 -20 Lesson 19 Complete one of the proof worksheets at the end of these notes, the missing angles puzzle and special pairs of angles worksheet

of perty n pro o racti Subt 16 m +12 = 44 Or 16 m = 32 Divisio n prop erty of lity equali ty <VWX ≌ <PQR ≌ <VWX

Additi on pro perty o ion titut Subs f= rty prope of = m<2 = m<4 Transitive property of equality

Substitu tion pro perty of m<1 + m<2 = m<1+m<3 S ubtractio n property = of = f= yo opert r p n o i Addit m<3 + m<7 = m<2+m<7

Trans itive prope rty of Transitcon ive prgoru pere tyn oc f cyongr uen ce f nce y eo t u r r g e f con oop eprtry p e o r v ip sitsiviet ency u raann T r r g T con always go Note: You may nning to back to the begi e of the find and use mor t at any given statemen point. <DGF ≌ <FEC

e. Xtra credit Challenge Proof LINES 4 & 9: Remember angles can be equal but their measurements are equal

Supplementary Angles: angles that add up to 1800 Complementary angles: angles that add up to 900 Linear pairs: adjacent angles whose exterior sides form a straight line Adjacent pairs: angles that are next to each other. Vertical angles: ∠X = ∠ 15 Congruent non-adjacent angles formed by intersecting lines Perpendicular Lines: Lines that intersect to form right angles.

Challenge Proofs CD ≅ EF DE ≅ FG CD + DE = CE given Segment addition postulate CD + DE = CE Transitive property of equality Ray XB bisects <AXC given m<AXB = m<BXC m<AXB + m<BXC = m< AXC m<CXD + m<DXE = m< CXE m<DXE + m<AXB = m< BXD Definition of angle bisector Angle addition postulate Substitution property of equality