Slope of Sides in Quadrilateral in Coordinate Plane

An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

What is the slope of side BC?

An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

What is the slope of side AD?

An unknown quadrilateral has these points: A(0,-3) B(6,-3) C(9,1) D(3,1) Based on your discoveries about the slopes of the sides, can this shape be a parallelogram?

• Yes

• No

An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

What is the slope of side AB?

Julia proved ABCD is a parallelogram. She notices that side AB has a slope of 8/3 and BC has a slope of 1/3. What can she classify ABCD as?

• A rectangle

• A square

• A rhombus

• Just a parallelogram

• Find the slope of 2 sides.

• Find the slope of all 4 sides.

• Find the slope of the diagonals.

• Find the length of all 4 sides.

What formula would you use to prove if the opposite sides of figure ABCD is parallel?

• slope

• distance

• midpoint

• Pythagorean Theorm

Use slope and/or the distance formula to determine the most precise name for the figure: A(–3, –5), B(4, –2), C(7, –9), D(0, –12).

• square

• rhombus

• trapezoid

• kite

Sarah proved that this is a square. The slopes of -2/5 and 5/2 made her able to do this. How come?

• Because those slopes form parallel lines.

• Because those slopes form perpendicular lines, creating right angles.

• Because those slopes make the sides congruent.

In order to prove this parallelogram is a RECTANGLE, we would have to show that...

• Adjacent sides have slopes that are OPPOSITE RECIPROCALS

• Adjacent sides have EQUAL slopes

• Opposite sides have EQUAL slopes

• Opposite sides have slopes that are OPPOSITE RECIPROCALS