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Chapter 6- Geometry Geometry Review! ** You will need a protractor for this chapter!!** Intersecting lines and line segments: 1. Opposite Angles- A pair of equal angles formed by two intersecting lines. Angles a and c are opposite angles, and angles b and d are opposite angles: a d b c 2. Supplementary angles- two angles that add up to 180o. o 3. Complementary angles- Two angles that add up to 90 . 50o 45o Parallel Lines: When a line intersects parallel lines, the angles formed have special relationships: 1. Alternate Interior Angles ( Z pattern): page 259 E A F G C H AFG= FGD BFG= CGF B D 130o 45o 2. Corresponding Angles( F Pattern): page 259 E A F B G C D H AFE = CGF AFG = CGH BFE = DGF HDG = GFB 3. Supplementary Interior Angles (C Pattern): E A F G C H AFG + CGF = 180o DGF + BFG = 180o B D Transformations: 1. Translation- a slide (see page 260) 2. Reflection- a flip (see page 260) 3. Rotation- a turn (see page 260) Dilatation, Scale, Scale Factor and Proportion: 1. Dilatation- an enlargement or reduction. 2. Scale- the size of a figure or drawing in relation to the original object. A scale diagram is an accurate drawing that is either an enlargement or a reduction of an actual object. diagram measurement image measurement Scale or Scale actual measurement pre image measurement 3. Scale factor- a ratio or number that represents the amount by which a figure is either enlarged or reduced. 4. proportions- a statement that says two ratios are equal . that can be used to determine measurements in scale drawings. x 1 Ex Page 261. 32 4 x 1 (32) (32) 32 4 32 x 4 x 8 Homework!! Page 258 #1,2,3 Page 259#4,5 Page 260# 6,7,8 Page 261#9,10