501 Geometry Questions

148. x= 20.When a transversal crosses a pair of parallel lines,
     corresponding angles are congruent; so, ∠ORN measures 50°.
     ∠OKR measures 80°, and ∠OKR’s supplement, ∠OKN, measures
     100°. Finally, 180° – (100° + 60°) = 20°.

Set 29

149. ΔCDB and ΔEFG.(Remember to align corresponding vertices.)


150. CDEF
     DBFG
     BCGE
     (Always coordinate corresponding endpoints.)


151. Side-Angle-Side Postulate:

BDGF

∠D ∠F

CDEF

152. m∠∠y = 146°.Since ∠D = 110º and ∠B = 36°, it follows that ∠C = 34°.
     Since ∠C is corresponding to ∠FEG, then ∠FEG = 34°. ∠yis the
     supplementary angle to ∠FEG, and therefore m∠y= 180° – 34° = 146°.

Set 30

153. There are three sets of congruent triangles in this question.
     ΔABC and ΔGEF make one set. ΔDBC, ΔDEF, and ΔGHI make
     the second set. ΔABD and ΔGED make the third set. (Remember
     to align corresponding vertices.)


154. Set one: ABGE, BCEF, CAFG
     Set two: DBDEGH
     BCEFHI
     DCDFGI

501 Geometry Questions