Answer: Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem.
Step-by-step explanation:
Given : ABCD is a parallelogram.
That is, AB ║ CD and AD ║BC
We have to prove that: AB≅CD and AD≅BC
Proof:
Construct diagonal AC in the parallelogram ABCD.
Since, AC ≅ AC ( reflexive)
∠ BAC ≅ ∠ DCA ( By the alternative interior angle theorem)
∠ BCA ≅ ∠ DAC ( By the alternative interior angle theorem)
⇒ Δ BCA ≅ Δ DAC ( By ASA congruence postulate )
⇒ AB≅CD as well as AD≅BC ( BY CPCTC )
Thus, the opposite side of the parallelogram are congruent.
Answer:
750%
Step-by-step explanation:
We know that 100% of 5 is 5,
200% of 5 is 10,
300% of 5 is 15,
400% of 5 is 20,
500% of 5 is 25,
600% of 5 is 30,
700% of 5 is 35,
800% of 5 is 40.
So 37 1/2 percent of 5 must be between 700 and 800 percent of 5. We also know that 2.5 is 50% of 5, and 35 + 2.5 = 37.5. So 37 1/2 is 750% of 5
Answer:
A: Southeast
B: Northwest
C: Southwest
D: Northeast
Step-by-step explanation:
160/3 is 53 1/3 as a fraction
Answer:
-2
Step-by-step explanation:
Absolute value is the distance from a number to 0 on the number line, so the number can't be negative, only positive. The absolute value of -1 would be 1, therefore it couldn't be -2, or any other negative numbers.
