I will only be writing the reasons for each and you can respond if you need clarification for anything:
1. given
2. opposite sides of a parallelogram are congruent (and a rectangle is a parallelogram so the properties apply)
3. def rectangle
4. SAS (side angle side congruence theorem)
5. CPCTC (congruent parts of congruent triangles are congruent)
They are the same because both triangles have the same every to the other triangle.
Answer:
Length of the shadow of player's sister is 5.25 feet.
Step-by-step explanation:
From the figure attached,
AB represents the basketball player and DE is his little sister.
Height of basketball player = 6.5 ft
Length of shadow of the player = 9.75 ft
Height of player's sister = 3.5 ft
Since, ΔABC and ΔEDC are the similar triangles, their corresponding sides will be proportional.


x = 
x = 5.25 ft
Therefore, length of the shadow of player's sister is 5.25 feet.
Step-by-step explanation:
6 - 4s = - 8 - 6s
Bringing like terms on one side
-4s + 6s = - 8 - 6
2s = - 14
S = - 14/2
S = - 7