Answer:

Step-by-step explanation:

reduced
transformed the expression to make it easier
add
reduce
Answer:
Step-by-step explanation:
Statements Reasons
AB // DC Given
AD // BC Given
AC ≅ AC Reflexive property
∠BAC ≅ ∠DCA Alternate interior angles
∠ACB ≅ ∠DAC Alternate interior angles
ΔCAB ≅ ΔDAC A S A
AD ≅ BC CPCT
Recall that 2sin(x) cos(x) is actually equal to sin(2x).
We can prove this by expanding sin(2x) to sin(x + x).
sin(x + x) = sin(x) cos(x) + cos(x) sin(x) = 2sinxcosx
Thus, 2sin(x/2)cos(x/2) can be rewritten in the form:
sin(2x/2), and this simplifies down to sinx.
The answer is a. You have the correct one highlighted I believe.
Hope this helps.