Tommy is writing a coordinate proof to show that the midsegment of a trapezoid is parallel to its bases. he starts by assigning coordinates as given, where rs¯¯¯¯¯ is the midsegment of trapezoid klmn .

The midsegment RS divides sides KN and LM into equal halves.

The coordinate of S is (a + d, c) and the slope of RS is 0

The coordinate of S is calculated using the following midpoint formula:

So, we have:

Add 2c and 0

Divide both fractions

RS is parallel to KL.

So, the slope of RS is 0

Hence, the coordinate of S is (a + d, c) and the slope of RS is 0

Read more about slopes and midpoints at:

link

Coordinates of R are (b,c)

NM is 0

Step-by-step explanation:

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5