Mr. Martin is making a swimming pool in his garden. He has three options, he can either make a triangular swimming pool or a circular swimming pool. In the remaining section outside the swimming pool, he will plant grass seeds to have nice green grass outside the swimming pool area. He will need to work out how much he would have to pay for the grass seed if grass seed comes in bags that cover 20 m2 and costs $10. Your task is to work out which option is cheaper for him. Make diagrams and show clearly how you calculate the area and work out the price of grass seed under each option and finally decide which is the better option.

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.