Sammy is classifying quadrilateral EFGH. How can she use coordinate geometry to determine whether EFGH is a rectangle? E(7, 10), F(4, 7), G(6, 5), H(9, 8) Sammy can use the distance formula to show opposite sides are equal and the slope formula to show that consecutive sides have opposite reciprocal slopes. Sammy can use the distance formula to show opposite are perpendicular and the slope formula to show that consecutive sides are equal. Sammy can use the distance formula to show that all sides are equal and the slope formula to show that consecutive sides have the same slope. Sammy can use the distance formula to show that all sides are parallel and the slope formula to show that consecutive sides are equal.

Choice A

Sammy can use the distance formula to show opposite sides are equal and the slope formula to show that consecutive sides have opposite reciprocal slopes.

Explanation:

Any rectangle has its opposite sides that are the same length. If all sides are the same length, then we'd have a square. Any square is a rectangle, but not the other way around.

Any rectangle also has all four angles that are 90 degrees each. This means the consecutive or adjacent sides are perpendicular. Perpendicular lines occur when the slopes are opposite reciprocals (eg: 2/3 and -3/2) and this only applies to nonvertical and nonhorizontal lines.

Technically, all Sammy has to do is show that there are 4 right angles and her work is done.

answer: the common difference is -0.10

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)