Select the correct answer. given: `delta`abc, where ab = bc prove: `"m"/_bac = "m"/_bca` statement reason 1. let `delta`abc be an isosceles triangle with ab = bc. given 2. create point d on side `bar(ac)` so `bar(bd)` bisects `/_abc`. constructing an angle bisector 3. `"m"/_abd = "m"/_cbd` definition of angle bisector 4. bd = bd reflexive property of equality 5. `deltaabd ~= deltacbd` 6. `"m"/_bac = "m"/_bca` corresponding angles of congruent triangles have equal measures. what is the reason for statement 5 in this proof? a. asa b. sss c. aas d. sas

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality