Given: CE = DF Prove: CD = EF

It is given that CE = DF. By the Segment Addition Postulate, CE = CD + DE and DF = DE + EF. So, CD + DE = DE + EF by the Substitution Property of Equality.
A) Therefore, CD = EF because of the Subtraction Property of Equality.
B) Therefore, CE = DF because of the definition of congruent segments.
C) Therefore, CD + DE + EF = CF because of the Segment Addition Postulate.
D) Therefore, D is the midpoint of line segment CE because CD = DE.

Choose the point slope form of the equation below that represents the like that passes through the points (-6,4) and (2, 0)

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

Which of the following could be the ratio of the length of the longer leg 30-60-90 triangle to the length of its hypotenuse? check all that apply. a. 313 6 b. 3: 215 c. 18: 13 d. 1: 13 e. 13: 2 of. 3: 15