14. Quadrilateral ABCD has vertices at A(-4,2), B(-1,6), C(7,0), and D(4, - 4). Use of the accompanying grid is optional
(a) Find the midpoint of each of ABCD's diagonals, i. e. AC
and BD. What kind of special quadrilateral can we
conclude ABCD is based on this information? [3 points)
(b) Find the slope of AB and the slope of BC What kind of special quadrilateral can we conclude ABCD is
based on this information and what we found in (a)? [3 points)

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