POSSIBLE POINTS: 21 The height in feet of a soccer ball that is kicked from the ground can be modeled by the function y--16x2 +962, where x is the time in seconds after the
ball is struct. Find how long it will take the ball to get to its maximum height. Find the maximum height the ball can reteach. Then find how long the ball
N
was in the air
timel
maximum height
KA
time in the air

Given: ab ≅ cd and ad ≅ bc prove: abcd is a parallelogram. statements reasons 1. ab ≅ cd; ad ≅ bc 1. given 2. ac ≅ ac 2. reflexive property 3. △adc ≅ △cba 3. ? 4. ∠dac ≅ ∠bca; ∠acd ≅ ∠cab 4. cpctc 5. ∠dac and ∠bca are alt. int. ∠s; ∠acd and ∠cab are alt. int. ∠s 5. definition of alternate interior angles 6. ab ∥ cd; ad ∥ bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3? triangle angle sum theorem sas congruency theorem sss congruency theorem cpctc