Question

Guys, this is 40 points! Please help me. I need it.

2. The line segment graphed on the coordinate plane represents a roof with several triangular supports. Each support is triangular, with a horizontal board that starts on the edge of the roof and connects with a vertical board that ends on the edge of the roof as shown.

(a) Does each support have the same starting coordinates? Explain.
(b) Does each support have the same ending coordinates? Explain.
(c) Does each support have the same change in x-values? Explain.
(d) Does each support have the same change in y-values? Explain.
(e) Does each support have the same ratio of change in y-values over change in x-values? Explain.
Answer:

Answer 1

(a) No

(b) No

(c) No

(d) No

(e) Yes

Explanation:

(a) No, they don’t. The starting position for the small triangle is (0,0). The starting position for the large triangle is (2,1).

(b) No, they don’t. The ending position for the small triangle is (2,1). The ending position for the large triangle is (6,3).

(c) No, they don't. 2 - 0 doesn't equal 6 - 2.

(d) No, they don't. 1 - 0 does not equal 3 - 1

(e) Yes, they do. 3-1/6-2 = 2/4 = 1/2

Answer 2

a) No, the first support starts at (0,0) and the 2nd one starts at (2,1)

b) No, first one ends at (2,1) 2nd one ends at (6,3)

c) No, 2 ( 0 to 2) does not equal 4 ( 2 to 6)

d) No, 1 ( 0 to 1) does not equal 2 (1 to 3)

e) Yes, this is the slope of the diagonal line: 1/2