Keeli was asked to approximate the square root of 38 to the nearest whole number.

her work is shown here. analyze her work, describing what she did correctly and what she did incorrectly. provide the correct approximation, showing and explaining your work.

if you need to type the square root symbol (for example, √36 ), either type it in words, as in "the square root of 36," or use the common abbreviation "sqrt," as in "sqrt(36)" or "sqrt 36."

38 is between the two perfect squares 36 and 64.

38 is closer to 36 than it is to 64.

so 38=6

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.