501 Geometry Questions

155. Side-Angle-Side:
     Set one: BCEF, ∠BCA ∠EFG, CAFG
     Set two: BCEFHI
     ∠BCD ∠EFD ∠I
     CDFDIG


156. BCEFHI2 and also DCDFGI2.Therefore
     ΔBCD and ΔEFD are right isosceles triangles with two base angles
     that each measure 45° and congruent hypotenuses. Since BD
     ED, DADG, and∠BDA∠EDG,ΔABDΔGED by the
     side-angle-side postulate.

Set 31

157. ΔKML and ΔGIJ. (Remember to align corresponding
     vertices.)


158. KMGI
     MLIJ
     LKJG
     (Always coordinate corresponding endpoints.)


159. Side-Side-Side: KMGI
     MLIJ
     LKJG


160. m∠∠V = 43°.ΔIMK is an isosceles triangle. Its vertex angle
     measures 26°; its base angles measure 77° each. 180° – (m∠IKM +
     m∠MKL) = m∠JKL. 180° – (77° + 60°) = m∠JKL. m∠JKL = 43°.

Set 32

161. ΔKBO and ΔHGO are congruent; Side-Angle-Side postulate.


162. Isosceles right triangle.


163. 90°. ΔBOK and ΔGOK are isosceles right triangles, ∠BOK
     ∠GOH = 45°, so ∠KOH must be 90°.

501 Geometry Questions