In the figure, AB || DC and ?B ? ?D. Prove that AD || BC
Prove the following statements using either a paragraph proof or a two-column proof. Be sure to justify your conclusions.
(Outline) ?BAC ? ?ACD (alternate interior angles) and AC ? AC. So ?ABC ? ?CDA by AAS. Then ?BCA ? ?CAD by C.P. and then AD || BC, since alternate interior angles are congruent.
You might also like to view...
Describe how you would apply the five basic steps of a statistical study to the given issue. You want to know the percentage of adults in the U.S. who have ever sought treatment from a practitioner of complementary medicine.
What will be an ideal response?
Solve the problem.For a certain film, an actor received a fixed salary plus a percentage of the film's profits. The linear function describes his salary, y, in millions of dollars, as a function of the film's profits, x, also in millions of dollars. Find the slope and y-intercept of this function. What do they represent?
What will be an ideal response?
Provide an appropriate response.Solve the system of equations by graphing:
A. I B. II C. III D. IV
Simplify the expression. First use the distributive property to remove any parentheses.2(5x + 8 + y)
A. 10x + 16 + 2y B. 10x + 16 + y C. 10x + 8 + 2y D. 10x + 8 + y