Select the correct answer from each drop-down menu. consider the given function. as the intervals move from left to right on the graph, the average rate of change (blank). since the average rate of change is also (blank), the function is (blank) and approaches (blank). 1st blank : gets smaller stays the same gets larger 2nd blank : negative positive 3rd blank : decreasing constant increasing 4th blank : a horizontal asymptote negative infinity positive infinity

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.