# Regarding Rectangles (Use the distance formula to determine ... Regarding Rectangles (Use the distance formula to determine congruence and the slope formula to determine parallel and perpendicular lines.) Students complete the chart and use the information to discover if the sets of coordinates create a rectangle. Regarding Rectangles Consider a rectangle with the following coordinates: A(3, 6), B(9, 6), C(9, 1), D (3, 1) Complete the chart. Line Segment Length in Units

Slope Is this a rectangle? What information did you use to determine your answer? Group Activity Each group will be given a set of four coordinates and asked to determine if the four points create a rectangle. The group will draw a rectangle labeling each point with a letter and the corresponding coordinates on chart paper. The chart paper will be displayed. The group will declare if the coordinates form a rectangle and what facts they used to determine their answer. Groups will view the work of other groups and complete a response paper. A class discussion will culminate the activity where group responses are compared.

Regarding Rectangles Consider a rectangle with the following coordinates: A(0, 5), B(6, 5), C(6, 1), D (0, 1) Complete the chart. Line Segment Length in Units Slope Is this a rectangle? What information did you use to determine your answer? Regarding Rectangles (answers) Consider a rectangle with the following coordinates: A(0, 5), B(6, 5), C(6, 1), D (0, 1)

Complete the chart. Line Segment Length in Units Slope 6 0 4 undefined 6

0 4 undefined Is this a rectangle? What information did you use to determine your answer? Yes. Opposite sides are parallel and congruent. Adjacent sides are perpendicular. Regarding Rectangles Consider a rectangle with the following coordinates: A(3, 6), B(9, 6), C(9, 1), D (3, 1) Complete the chart. Line Segment

Length in Units Slope Is this a rectangle? What information did you use to determine your answer? Regarding Rectangles (answers) Consider a rectangle with the following coordinates: A(3, 6), B(9, 6), C(9, 1), D (3, 1) Complete the chart. Line Segment Length in Units Slope

6 0 5 undefined 6 0 5 undefined

Is this a rectangle? What information did you use to determine your answer? Yes. Opposite sides are congruent and parallel. Adjacent sides are perpendicular. Regarding Rectangles Consider a rectangle with the following coordinates: A(5, 3), B(10, 3), C(10, -1), D (4, -1) Complete the chart. Line Segment Length in Units Slope Is this a rectangle? What information did you use to determine your answer? Regarding Rectangles (answers)

Consider a rectangle with the following coordinates: A(5, 3), B(10, 3), C(10, -1), D (4, -1) Complete the chart. Line Segment Length in Units Slope 5 0 4 undefined

6 0 4 Is this a rectangle? What information did you use to determine your answer? No. Opposite sides are not congruent nor parallel. Both pairs of adjacent sides are not perpendicular. Regarding Rectangles Consider a rectangle with the following coordinates: A(-5, 0), B(1, 4), C(6,-3), D (0, -7) Complete the chart. Line Segment

Length in Units Slope Is this a rectangle? What information did you use to determine your answer? Regarding Rectangles (answers) Consider a rectangle with the following coordinates: A(-5, 0), B(1, 4), C(6,-3), D (0, -7) Complete the chart. Line Segment Length in Units Slope 2/3

-7/5 2/3 -7/5 Is this a rectangle? What information did you use to determine your answer? Opposite sides are congruent and parallel. Adjacent sides are perpendicular. Regarding Rectangle Response Look at the work of other groups and complete the chart. Rectangle Number Rectangle? (Yes or No) Do you agree with the justification? (If not, why do you disagree?)