32 points, will mark brainliest.

triangle a″b″c″ is formed by a reflection over y = −3 and dilation by a scale factor of 2 from the origin. which equation shows the correct relationship between δabc and δa″b″c″?

a.) 2 times square root of 2 times segment ac equals one half times square root of 2 times segment a

b.) one half times square root of 2 times segment ac equals 2 times square root of 2 times segment ac

c.) 2 times square root of 13 times segment ab equals square root of 13 times segment a double prime b double prime

d.) square root of 10 times segment ab equals 2 times square root of 10 times segment a double prime b double prime

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